Kaiserslautern - Fachbereich Mathematik
Refine
Year of publication
- 1999 (131)
- 1995 (45)
- 1996 (44)
- 2000 (44)
- 2014 (43)
- 1992 (41)
- 2003 (39)
- 2005 (38)
- 1997 (36)
- 1998 (35)
- 1994 (34)
- 2007 (34)
- 2015 (34)
- 2022 (32)
- 1991 (31)
- 2006 (31)
- 2021 (31)
- 2001 (30)
- 2009 (30)
- 2011 (30)
- 2020 (30)
- 1993 (28)
- 2008 (28)
- 2016 (28)
- 2002 (27)
- 2013 (27)
- 2004 (26)
- 2023 (24)
- 2012 (23)
- 2010 (21)
- 2017 (19)
- 2018 (18)
- 2019 (15)
- 1990 (10)
- 1985 (8)
- 1984 (7)
- 1986 (6)
- 1987 (6)
- 1989 (6)
- 1988 (5)
- 2024 (5)
- 1979 (2)
- 1981 (1)
- 1983 (1)
Document Type
- Preprint (608)
- Doctoral Thesis (292)
- Report (121)
- Article (84)
- Diploma Thesis (26)
- Lecture (25)
- Master's Thesis (8)
- Course Material (5)
- Part of a Book (4)
- Study Thesis (4)
Keywords
- Mathematische Modellierung (19)
- MINT (16)
- Schule (16)
- Wavelet (14)
- Inverses Problem (12)
- Mehrskalenanalyse (12)
- Modellierung (12)
- Mathematikunterricht (9)
- praxisorientiert (9)
- Approximation (8)
- Boltzmann Equation (8)
- Regularisierung (8)
- Lineare Algebra (7)
- Location Theory (7)
- Numerical Simulation (7)
- Optimization (7)
- integer programming (7)
- Algebraische Geometrie (6)
- Finanzmathematik (6)
- Gravitationsfeld (6)
- Navier-Stokes-Gleichung (6)
- Portfolio Selection (6)
- modelling (6)
- wavelets (6)
- Elastizität (5)
- Elastoplastizität (5)
- Modellierungswoche (5)
- Numerische Mathematik (5)
- Stochastische dynamische Optimierung (5)
- haptotaxis (5)
- isogeometric analysis (5)
- nonparametric regression (5)
- portfolio optimization (5)
- time series (5)
- Combinatorial Optimization (4)
- Galerkin-Methode (4)
- Homogenisierung <Mathematik> (4)
- Hysterese (4)
- Kugel (4)
- Multicriteria optimization (4)
- NURBS (4)
- Optionspreistheorie (4)
- Portfolio-Optimierung (4)
- Simulation (4)
- Sphäre (4)
- hub location (4)
- linear algebra (4)
- mathematical education (4)
- multiscale model (4)
- network flows (4)
- neural network (4)
- numerics (4)
- praxis orientated (4)
- Analysis (3)
- Bewertung (3)
- Brownian motion (3)
- CHAMP <Satellitenmission> (3)
- Cauchy-Navier equation (3)
- Cauchy-Navier-Gleichung (3)
- Combinatorial optimization (3)
- Computeralgebra (3)
- Elastoplasticity (3)
- Erwarteter Nutzen (3)
- Finite-Volumen-Methode (3)
- Geodäsie (3)
- Geometric Ergodicity (3)
- Gravimetrie (3)
- Gröbner bases (3)
- Gröbner-Basis (3)
- Harmonische Spline-Funktion (3)
- Hysteresis (3)
- Intensity modulated radiation therapy (3)
- Kugelflächenfunktion (3)
- Lineare Optimierung (3)
- Monte-Carlo-Simulation (3)
- Mosco convergence (3)
- Multicriteria Optimization (3)
- Multiobjective optimization (3)
- Multiresolution Analysis (3)
- Numerische Strömungssimulation (3)
- Partial Differential Equations (3)
- Poisson-Gleichung (3)
- Portfolio Optimization (3)
- Portfoliomanagement (3)
- Randwertproblem / Schiefe Ableitung (3)
- Risikomanagement (3)
- Simplex (3)
- Sobolev-Raum (3)
- Spherical Wavelets (3)
- Spline (3)
- Spline-Approximation (3)
- Standortplanung (3)
- Stücklisten (3)
- Timetabling (3)
- Transaction Costs (3)
- Tropische Geometrie (3)
- Vektorwavelets (3)
- Wavelet-Analyse (3)
- autoregressive process (3)
- average density (3)
- combinatorial optimization (3)
- consecutive ones property (3)
- consistency (3)
- domain decomposition (3)
- facets (3)
- harmonic density (3)
- heuristic (3)
- kinetic equations (3)
- lattice Boltzmann method (3)
- low Mach number limit (3)
- optimales Investment (3)
- radiotherapy (3)
- tangent measure distributions (3)
- well-posedness (3)
- Algebraic Optimization (2)
- Algebraic dependence of commuting elements (2)
- Algebraische Abhängigkeit der kommutierende Elementen (2)
- Approximation Algorithms (2)
- Asymptotic Analysis (2)
- Asymptotic Expansion (2)
- Asymptotik (2)
- B-Spline (2)
- B-splines (2)
- Beam-on time (2)
- Biorthogonalisation (2)
- Biot-Savart Operator (2)
- Biot-Savart operator (2)
- CFD (2)
- CHAMP (2)
- Change analysis (2)
- Computer Algebra System (2)
- Computeralgebra System (2)
- Decomposition and Reconstruction Schemes (2)
- Decomposition cardinality (2)
- Delay Management (2)
- Derivat <Wertpapier> (2)
- Diffusionsprozess (2)
- Diskrete Fourier-Transformation (2)
- EM algorithm (2)
- Elastic BVP (2)
- Elasticity (2)
- Elastische Deformation (2)
- Elastisches RWP (2)
- Elastoplastisches RWP (2)
- Endliche Geometrie (2)
- Erdmagnetismus (2)
- FFT (2)
- Fatigue (2)
- Field splitting (2)
- Filtergesetz (2)
- Filtration (2)
- Finite Pointset Method (2)
- GOCE <Satellitenmission> (2)
- GRACE <Satellitenmission> (2)
- Geometrical Algorithms (2)
- Geothermal Flow (2)
- Graph Theory (2)
- Graphentheorie (2)
- Gruppentheorie (2)
- Hamilton-Jacobi-Differentialgleichung (2)
- Hochskalieren (2)
- Hypervolume (2)
- IMRT (2)
- Integer-valued time series (2)
- Inverse Problem (2)
- Isogeometrische Analyse (2)
- Jiang's model (2)
- Jiang-Modell (2)
- Konvergenz (2)
- Kreditrisiko (2)
- Langevin equation (2)
- Laplace transform (2)
- Lebensversicherung (2)
- Level-Set-Methode (2)
- Line Planning (2)
- Line Pool Generation (2)
- Lineare Elastizitätstheorie (2)
- Lineare partielle Differentialgleichung (2)
- Local smoothing (2)
- Logik (2)
- Lokalisation (2)
- Markov Chain (2)
- Mathematik (2)
- Mehrkriterielle Optimierung (2)
- Mehrskalenmodell (2)
- Mikrostruktur (2)
- Mixture Models (2)
- Modellbildung (2)
- Modulraum (2)
- Multileaf collimator sequencing (2)
- Multiobjective programming (2)
- Multiset Multicover (2)
- Multivariate Approximation (2)
- Neural networks (2)
- Numerisches Verfahren (2)
- Open Source Library (2)
- Optimal Control (2)
- Optimierung (2)
- Optimization in Public Transportation (2)
- POD (2)
- Palm distributions (2)
- Parallel volume (2)
- Particle Methods (2)
- Partielle Differentialgleichung (2)
- Poröser Stoff (2)
- Public Transport Planning (2)
- Rarefied Gas Dynamics (2)
- Ratenunabhängigkeit (2)
- Regressionsanalyse (2)
- Regularization (2)
- Robust Optimization (2)
- Scheduling (2)
- Schnitttheorie (2)
- Singularity theory (2)
- Sobolev spaces (2)
- Software for Public Transport Planning (2)
- Split Operator (2)
- Statistisches Modell (2)
- Stochastic Control (2)
- Stochastische Differentialgleichung (2)
- Stop Location (2)
- Subset selection (2)
- Theorie schwacher Lösungen (2)
- Time Series (2)
- Transaktionskosten (2)
- Up Functions (2)
- Upscaling (2)
- Value-at-Risk (2)
- Variationsungleichungen (2)
- Vehicle Scheduling (2)
- Vektorkugelfunktionen (2)
- Volatilität (2)
- Weißes Rauschen (2)
- White Noise Analysis (2)
- Wills functional (2)
- algebraic geometry (2)
- algorithmic game theory (2)
- approximate identity (2)
- asymptotic analysis (2)
- asymptotic behavior (2)
- average densities (2)
- cancer cell invasion (2)
- changepoint test (2)
- competitive analysis (2)
- connectedness (2)
- convergence (2)
- convex optimization (2)
- coset enumeration (2)
- curve singularity (2)
- degenerate diffusion (2)
- delay (2)
- density distribution (2)
- duality (2)
- dynamische Systeme (2)
- elastoplasticity (2)
- equilibrium strategies (2)
- evolutionary spectrum (2)
- finite volume method (2)
- geomagnetism (2)
- geometric ergodicity (2)
- global existence (2)
- harmonische Dichte (2)
- heat equation (2)
- hidden variables (2)
- homogenization (2)
- hub covering (2)
- hysteresis (2)
- illiquidity (2)
- image denoising (2)
- incompressible Navier-Stokes equations (2)
- interface problem (2)
- inverse optimization (2)
- inverse problem (2)
- inverse problems (2)
- k-link shortest path (2)
- lacunarity distribution (2)
- level set method (2)
- limit and jump relations (2)
- linear optimization (2)
- localizing basis (2)
- location theory (2)
- mathematical modeling (2)
- mesh generation (2)
- mixture (2)
- modal derivatives (2)
- moment realizability (2)
- monotropic programming (2)
- multicriteria optimization (2)
- multileaf collimator (2)
- multiplicative noise (2)
- nonlinear diffusion (2)
- nonlinear diffusion filtering (2)
- occupation measure (2)
- online optimization (2)
- optimal control (2)
- optimal investment (2)
- optimization (2)
- order-two densities (2)
- pH-taxis (2)
- parabolic system (2)
- particle method (2)
- particle methods (2)
- polynomial algorithms (2)
- poroelasticity (2)
- porous media (2)
- pyramid scheme (2)
- rate of convergence (2)
- regression analysis (2)
- regular surface (2)
- regularization (2)
- regularization wavelets (2)
- reproducing kernel (2)
- reproduzierender Kern (2)
- satellite gravity gradiometry (2)
- scale-space (2)
- series-parallel graphs (2)
- simplex (2)
- singularities (2)
- spherical approximation (2)
- splines (2)
- stationarity (2)
- stationary radiative transfer equation (2)
- subgroup problem (2)
- uniqueness (2)
- universal objective function (2)
- valid inequalities (2)
- variational inequalities (2)
- vector spherical harmonics (2)
- vectorial wavelets (2)
- weak solution (2)
- worst-case scenario (2)
- "Slender-Body"-Theorie (1)
- (Joint) chance constraints (1)
- (dynamic) network flows (1)
- 2-d kernel regression (1)
- 3D image analysis (1)
- A-infinity-bimodule (1)
- A-infinity-category (1)
- A-infinity-functor (1)
- ALE-Methode (1)
- AR-ARCH (1)
- Abel integral equations (1)
- Abelian groups (1)
- Abgeschlossenheit (1)
- Ableitung höherer Ordnung (1)
- Ableitungsfreie Optimierung (1)
- Abstract ODE (1)
- Abstract linear systems theory (1)
- Acid-mediated tumor invasion (1)
- Adjazenz-Beziehungen (1)
- Adjoint method (1)
- Adjoint system (1)
- Advanced Encryption Standard (1)
- Aggregation (1)
- Agriculture Loan (1)
- Algebraic Geometry (1)
- Algebraic geometry (1)
- Algebraic groups (1)
- Algebraic optimization (1)
- Algebraischer Funktionenkörper (1)
- Algorithmics (1)
- Alter (1)
- Analytic semigroup (1)
- Angewandte Mathematik (1)
- Anisotropic smoothness classes (1)
- Annulus (1)
- Anti-diffusion (1)
- Antidiffusion (1)
- Applications (1)
- Approximationsalgorithmus (1)
- Approximative Identität (1)
- Arbitrage (1)
- Arc distance (1)
- Archimedische Kopula (1)
- Arduino (1)
- Asiatische Option (1)
- Asset allocation (1)
- Asset-liability management (1)
- Associative Memory Problem (1)
- Asympotic Analysis (1)
- Asymptotische Entwicklung (1)
- Ausfallrisiko (1)
- Automatische Differentiation (1)
- Automatische Spracherkennung (1)
- Automorphismengruppe (1)
- Autoregression (1)
- Autoregressive Hilbertian model (1)
- Autoregressive time series (1)
- Balance sheet (1)
- Banach lattice (1)
- Barriers (1)
- Basic Scheme (1)
- Basis Risk (1)
- Basket Option (1)
- Baum <Mathematik> (1)
- Bayes risk (1)
- Bayes-Entscheidungstheorie (1)
- Bayesrisiko (1)
- Beam models (1)
- Beam orientation (1)
- Behinderter (1)
- Bell Number (1)
- Berechnungskomplexität (1)
- Bernstein Kern (1)
- Bernstein–Gelfand–Gelfand construction (1)
- Bernstejn-Polynom (1)
- Beschichtungsprozess (1)
- Beschränkte Krümmung (1)
- Bessel functions (1)
- Betrachtung des Schlimmstmöglichen Falles (1)
- Betriebsfestigkeit (1)
- Bilanzstrukturmanagement (1)
- Bildsegmentierung (1)
- Binary (1)
- Binomialbaum (1)
- Biot Poroelastizitätgleichung (1)
- Bisector (1)
- Black-Scholes model (1)
- Bondindizes (1)
- Bootstrap (1)
- Boundary Value Problem (1)
- Boundary Value Problem / Oblique Derivative (1)
- Boundary Value Problems (1)
- Box Algorithms (1)
- Box-Algorithm (1)
- Brinkman (1)
- Brownian Diffusion (1)
- Brownsche Bewegung (1)
- CAQ (1)
- CDO (1)
- CDS (1)
- CDSwaption (1)
- CFL type conditions (1)
- CHAMP-Mission (1)
- CPDO (1)
- CUSUM statistic (1)
- CWGAN (1)
- Cantor sets (1)
- Capacity (1)
- Capital-at-Risk (1)
- Carreau law (1)
- Castelnuovo Funktion (1)
- Castelnuovo function (1)
- Cauchy-Navier scaling function and wavelet (1)
- Cauchy-Navier-Equation (1)
- Censoring (1)
- Center Location (1)
- Change Point Analysis (1)
- Change Point Test (1)
- Change-point Analysis (1)
- Change-point estimator (1)
- Change-point test (1)
- Charakter <Gruppentheorie> (1)
- Chi-Quadrat-Test (1)
- Cholesky-Verfahren (1)
- Chorin's projection scheme (1)
- Chow Quotient (1)
- Circle Location (1)
- Classification (1)
- Cluster-Analyse (1)
- Coarse graining (1)
- Cohen-Lenstra heuristic (1)
- Collision Operator (1)
- Collocation Method plus (1)
- Commodity Index (1)
- Competitive Analysis (1)
- Complex Structures (1)
- Complexity (1)
- Complexity and performance of numerical algorithms (1)
- Composite Materials (1)
- Computer Algebra (1)
- Computer algebra (1)
- Conditional Value-at-Risk (1)
- Connectivity (1)
- Consistencyanalysis (1)
- Consistent Price Processes (1)
- Constraint Generation (1)
- Construction of hypersurfaces (1)
- Container (1)
- Continuum mechanics (1)
- Convergence Rate (1)
- Convex Analysis (1)
- Convex geometry (1)
- Convex sets (1)
- Convexity (1)
- Copula (1)
- Core (1)
- Cosine function (1)
- Coupled PDEs (1)
- Covid-19 (1)
- Coxeter groups (1)
- Coxeter-Freudenthal-Kuhn triangulation (1)
- Crane (1)
- Crash (1)
- Crash Hedging (1)
- Crash modelling (1)
- Crashmodellierung (1)
- Credit Default Swap (1)
- Credit Risk (1)
- Curvature (1)
- Curved viscous fibers (1)
- Cut (1)
- Cutting and Packing (1)
- Cycle Decomposition (1)
- DSMC (1)
- Darstellungstheorie (1)
- Das Urbild von Ideal unter einen Morphismus der Algebren (1)
- Debt Management (1)
- Decision Making (1)
- Decision support (1)
- Decomposition of integer matrices (1)
- Defaultable Options (1)
- Deformationstheorie (1)
- Degenerate Diffusion Semigroups (1)
- Delaunay (1)
- Delaunay triangulation (1)
- Delaunay triangulierung (1)
- Delay Differential Equations (1)
- Dense gas (1)
- Derivatives (1)
- Didaktik (1)
- Differential Cross-Sections (1)
- Differential forms (1)
- Differentialgleichung mit nacheilendem Argument (1)
- Differentialinklusionen (1)
- Differenzenverfahren (1)
- Differenzierbare Mannigfaltigkeit (1)
- Differenzmenge (1)
- Diffusion (1)
- Diffusion processes (1)
- Dirichlet series (1)
- Dirichlet-Problem (1)
- Discrete Bicriteria Optimization (1)
- Discrete decision problems (1)
- Discrete velocity models (1)
- Discriminatory power (1)
- Diskrete Mathematik (1)
- Dispersionsrelation (1)
- Dissertation (1)
- Diversifikation (1)
- Domain Decomposition (1)
- Doppelbarriereoption (1)
- Double Barrier Option (1)
- Druckkorrektur (1)
- Dynamic Network Flow Problem (1)
- Dynamic Network Flows (1)
- Dynamic capillary pressure (1)
- Dynamic cut (1)
- Dynamische Systeme (1)
- Dynamische Topographie (1)
- Dynasys (1)
- Dünnfilmapproximation (1)
- EDF observation models (1)
- EGM96 (1)
- EM algorith (1)
- Earliest arrival augmenting path (1)
- Earth' (1)
- Earth's disturbing potential (1)
- Education (1)
- Edwards Model (1)
- Effective Conductivity (1)
- Efficiency (1)
- Efficient Reliability Estimation (1)
- Effizienter Algorithmus (1)
- Effizienz (1)
- Eigenschwingung (1)
- Eikonal equation (1)
- Elastoplastic BVP (1)
- Electricity consumption (1)
- Elektromagnetische Streuung (1)
- Elektronik (1)
- Elementare Zahlentheorie (1)
- Eliminationsverfahren (1)
- Elliptic-parabolic equation (1)
- Elliptische Verteilung (1)
- Elliptisches Randwertproblem (1)
- Endliche Gruppe (1)
- Endliche Lie-Gruppe (1)
- Energy markets (1)
- Enskog equation (1)
- Entscheidungsbaum (1)
- Entscheidungsunterstützung (1)
- Enumerative Geometrie (1)
- Epidemiologie (1)
- Epidemiology (1)
- Erdöl Prospektierung (1)
- Ergodic (1)
- Erwartungswert-Varianz-Ansatz (1)
- Essential m-dissipativity (1)
- Euler's equation of motion (1)
- Evacuation Planning (1)
- Evakuierung (1)
- Evolution Equations (1)
- Evolutionary Integral Equations (1)
- Exogenous (1)
- Expected shortfall (1)
- Experimental Data (1)
- Exponential Utility (1)
- Exponentieller Nutzen (1)
- Extrapolation (1)
- Extreme Events (1)
- Extreme value theory (1)
- FEM (1)
- FEM-FCT stabilization (1)
- FPM (1)
- FPTAS (1)
- Faden (1)
- Faltung (1)
- Faltung <Mathematik> (1)
- Families of Probability Measures (1)
- Fast Pseudo Spectral Algorithm (1)
- Fast Wavelet Transform (1)
- Feed-forward Networks (1)
- Feedfoward Neural Networks (1)
- Feynman Integrals (1)
- Feynman path integrals (1)
- Fiber spinning (1)
- Fiber suspension flow (1)
- Filippov theory (1)
- Filippov-Theorie (1)
- Financial Engineering (1)
- Finanzkrise (1)
- Finanznumerik (1)
- Finanzzeitreihe (1)
- Finite-Elemente-Methode (1)
- Finite-Punktmengen-Methode (1)
- Firmwertmodell (1)
- First Order Optimality System (1)
- First--order optimality system (1)
- Flachwasser (1)
- Flachwassergleichungen (1)
- FlowLoc (1)
- Fluid dynamics (1)
- Fluid-Feststoff-Strömung (1)
- Fluid-Struktur-Kopplung (1)
- Fluid-Struktur-Wechselwirkung (1)
- Foam decay (1)
- Fokker-Planck equation (1)
- Fokker-Planck-Gleichung (1)
- Forbidden Regions (1)
- Forecasting (1)
- Forward-Backward Stochastic Differential Equation (1)
- Fourier-Transformation (1)
- Fredholm integral equation of the second kind (1)
- Fredholmsche Integralgleichung (1)
- Frequency Averaging (1)
- Function of bounded variation (1)
- Functional autoregression (1)
- Functional time series (1)
- Funktionalanalysis (1)
- Funktionenkörper (1)
- Fuzzy Programming (1)
- GARCH (1)
- GARCH Modelle (1)
- GOCE <satellite mission> (1)
- GPS-satellite-to-satellite tracking (1)
- GRACE (1)
- GRACE <satellite mission> (1)
- Galerkin Approximation (1)
- Gamma-Konvergenz (1)
- Garantiezins (1)
- Garbentheorie (1)
- Gauge Distances (1)
- Gauss-Manin connection (1)
- Gaussian random noise (1)
- Gebietszerlegung (1)
- Gebietszerlegungsmethode (1)
- Gebogener viskoser Faden (1)
- Generative adversarial networks (1)
- Geo-referenced data (1)
- Geodesie (1)
- Geodätischer Satellit (1)
- Geomagnetic Field Modelling (1)
- Geomagnetismus (1)
- Geomathematik (1)
- Geometrical algorithms (1)
- Geometrische Ergodizität (1)
- Geostrophic flow (1)
- Geostrophisches Gleichgewicht (1)
- Geothermal Systems (1)
- Geothermischer Fluss (1)
- Gewichteter Sobolev-Raum (1)
- Gewichtung (1)
- Gittererzeugung (1)
- Gleichgewichtsstrategien (1)
- Gleichmäßige Approximation (1)
- Global Optimization (1)
- Global optimization (1)
- Globale nichtlineare Analysis (1)
- Glättung (1)
- Glättungsparameterwahl (1)
- Grad expansion (1)
- Gradient based optimization (1)
- Granular flow (1)
- Granulat (1)
- Graph coloring (1)
- Gravimetry (1)
- Gravitation (1)
- Gravitational Field (1)
- Gravitationsmodell (1)
- Greedy Heuristic (1)
- Greedy algorithm (1)
- Green’s function (1)
- Gromov Witten (1)
- Gromov-Witten-Invariante (1)
- Große Abweichung (1)
- Gruppenoperation (1)
- Gröbner base (1)
- Gröbner bases in monoid and group rings (1)
- Gröbner-basis (1)
- Gyroscopic (1)
- Hadamard manifold (1)
- Hadamard space (1)
- Hadamard-Mannigfaltigkeit (1)
- Hadamard-Raum (1)
- Hamiltonian (1)
- Hamiltonian Path Integrals (1)
- Hamiltonian groups (1)
- Handelsstrategien (1)
- Hardy space (1)
- Harmonische Analyse (1)
- Harmonische Dichte (1)
- Harmonische Funktion (1)
- Hazard Functions (1)
- Heavy-tailed Verteilung (1)
- Hedging (1)
- Helmholtz Type Boundary Value Problems (1)
- Helmholtz decomposition (1)
- Helmholtz-Decomposition (1)
- Helmholtz-Zerlegung (1)
- Heston-Modell (1)
- Heuristic (1)
- Heuristik (1)
- Hidden Markov models for Financial Time Series (1)
- Hierarchies (1)
- Hierarchische Matrix (1)
- Higher Order Differentials as Boundary Data (1)
- Hilbert complexes (1)
- Hochschild homology (1)
- Hochschild-Homologie (1)
- Homogeneous Relaxation (1)
- Homogenization (1)
- Homologietheorie (1)
- Homologische Algebra (1)
- Homotopie (1)
- Homotopiehochhebungen (1)
- Homotopy (1)
- Homotopy lifting (1)
- Hub Location Problem (1)
- Hub-and-Spoke-System (1)
- Hybrid Codes (1)
- Hydrological Gravity Variations (1)
- Hydrologie (1)
- Hydrostatischer Druck (1)
- Hyperbolic Conservation (1)
- Hyperelastizität (1)
- Hyperelliptische Kurve (1)
- Hyperflächensingularität (1)
- Hyperspektraler Sensor (1)
- Hypocoercivity (1)
- INGARCH (1)
- ITSM (1)
- Idealklassengruppe (1)
- Identifiability (1)
- Ill-Posed Problems (1)
- Ill-posed Problems (1)
- Ill-posed problem (1)
- Illiquidität (1)
- Image restoration (1)
- Immiscible lattice BGK (1)
- Immobilienaktie (1)
- Improperly posed problems (1)
- Impulse control (1)
- Incompressible Navier-Stokes (1)
- Index Insurance (1)
- Industrial Applications (1)
- Infectious Diseases (1)
- Inflation (1)
- Information Theory (1)
- Infrarotspektroskopie (1)
- Injectivity of mappings (1)
- Injektivität von Abbildungen (1)
- Inkompressibel Navier-Stokes (1)
- Inkorrekt gestelltes Problem (1)
- Insurance (1)
- Integral (1)
- Integral Equations (1)
- Integral transform (1)
- Integration (1)
- Intensität (1)
- Interdisziplinärer Projektunterricht (1)
- Internationale Diversifikation (1)
- Interpolation Algorithm (1)
- Inverse Problems (1)
- Inverse problems in Banach spaces (1)
- Irreduzibler Charakter (1)
- Isogeometric Analysis (1)
- Isotropy (1)
- Iterative Methods (1)
- Ito (1)
- Jacobigruppe (1)
- Jeffreys' prior (1)
- Jiang's constitutive model (1)
- Jiangsches konstitutives Gesetz (1)
- K-best solution (1)
- K-cardinality trees (1)
- Kaktusgraph (1)
- Kalkül (1)
- Kalkül des natürlichen Schließens (1)
- Kallianpur-Robbins law (1)
- Kanalcodierung (1)
- Karhunen-Loève expansion (1)
- Kategorientheorie (1)
- Kelvin Transformation (1)
- Kernschätzer (1)
- Kinetic Schems (1)
- Kinetic Theory of Gases (1)
- Kinetic theory (1)
- Kirchhoff-Love shell (1)
- Kiyoshi (1)
- Knapsack (1)
- Knapsack problem (1)
- Kohonen's SOM (1)
- Kombinatorik (1)
- Kombinatorische Optimierung (1)
- Kommutative Algebra (1)
- Kompakter Träger <Mathematik> (1)
- Konjugierte Dualität (1)
- Konstruktion von Hyperflächen (1)
- Konstruktive Approximation (1)
- Kontinuum <Mathematik> (1)
- Kontinuumsmechanik (1)
- Kontinuumsphysik (1)
- Konvergenzrate (1)
- Konvergenzverhalten (1)
- Konvexe Mengen (1)
- Konvexe Optimierung (1)
- Kopplungsmethoden (1)
- Kopplungsproblem (1)
- Kopula <Mathematik> (1)
- Kreitderivaten (1)
- Kristallmathematik (1)
- Kryptoanalyse (1)
- Kryptologie (1)
- Krümmung (1)
- Kugelfunktion (1)
- Kullback Leibler distance (1)
- Kullback-Leibler divergence (1)
- Kurvenschar (1)
- L-curve Methode (1)
- L2-Approximation (1)
- LIBOR (1)
- Label correcting algorithm (1)
- Label setting algorithm (1)
- Lagrange (1)
- Lagrangian Functions (1)
- Lagrangian relaxation (1)
- Large-Scale Problems (1)
- Lattice Boltzmann (1)
- Lattice-BGK (1)
- Lattice-Boltzmann (1)
- Lavrentiev regularization (1)
- Lavrentiev regularization for equations with monotone operators (1)
- Leading-Order Optimality (1)
- Learnability (1)
- Learning systems (1)
- Least-squares Monte Carlo method (1)
- Lebesque-Integral (1)
- Legendre Wavelets (1)
- Lehrkräfte (1)
- Lehrmittel (1)
- Level set methods (1)
- Level sets (1)
- Levy process (1)
- Lexicographic Order (1)
- Lexicographic max-ordering (1)
- Lie algebras (1)
- Lie-Typ-Gruppe (1)
- Linear Integral Equations (1)
- Linear kinematic hardening (1)
- Linear kinematische Verfestigung (1)
- Linear membership function (1)
- Lineare Integralgleichung (1)
- Lippmann-Schwinger Equation (1)
- Lippmann-Schwinger equation (1)
- Liquidität (1)
- Local completeness (1)
- Local existence uniqueness (1)
- Locally Supported Radial Basis Functions (1)
- Locally Supported Zonal Kernels (1)
- Locally stationary processes (1)
- Location (1)
- Location problems (1)
- Location theory (1)
- Locational Planning (1)
- Lokalkompakte Kerne (1)
- Low-discrepancy sequences (1)
- Lucena (1)
- MBS (1)
- MKS (1)
- ML-estimation (1)
- MLC (1)
- MLE (1)
- MOCO (1)
- Macaulay’s inverse system (1)
- Machine Scheduling (1)
- Magneto-Elastic Coupling (1)
- Magnetoelastic coupling (1)
- Magnetoelasticity (1)
- Magnetostriction (1)
- Marangoni-Effekt (1)
- Market Equilibrium (1)
- Markov Kette (1)
- Markov process (1)
- Markov switching (1)
- Markov-Ketten-Monte-Carlo-Verfahren (1)
- Markov-Prozess (1)
- Marktmanipulation (1)
- Marktrisiko (1)
- Martingaloptimalitätsprinzip (1)
- Maschinelles Lernen (1)
- Massendichte (1)
- Math-Talent-School (1)
- Mathematical Epidemiology (1)
- Mathematical Finance (1)
- Mathematical Modeling (1)
- Mathematics (1)
- Mathematisches Modell (1)
- Matrixkompression (1)
- Matrizenfaktorisierung (1)
- Matrizenzerlegung (1)
- Matroids (1)
- Max-Ordering (1)
- Maximal Cohen-Macaulay modules (1)
- Maximale Cohen-Macaulay Moduln (1)
- Maximum Likelihood Estimation (1)
- Maximum-Likelihood-Schätzung (1)
- Maxwell's equations (1)
- McKay conjecture (1)
- McKay-Conjecture (1)
- McKay-Vermutung (1)
- Medical Physics (1)
- Mehrdimensionale Bildverarbeitung (1)
- Mehrdimensionale Spline-Funktion (1)
- Mehrdimensionales Variationsproblem (1)
- Mehrskalen (1)
- Methode der Fundamentallösungen (1)
- Microstructure (1)
- Mie representation (1)
- Mie- and Helmholtz-Representation (1)
- Mie- und Helmholtz-Darstellung (1)
- Mie-Darstellung (1)
- Mie-Representation (1)
- Mikroelektronik (1)
- Minimal spannender Baum (1)
- Minimum Cost Network Flow Problem (1)
- Minimum Principle (1)
- Minkowski space (1)
- Mixed Connectivity (1)
- Mixed integer programming (1)
- Mixed method (1)
- Model-Dynamics (1)
- Moduli Spaces (1)
- Molekulardynamik (1)
- Molodensky Problem (1)
- Molodensky problem (1)
- Moment sequence (1)
- Momentum and Mas Transfer (1)
- Monoid and group rings (1)
- Monotone dynamical systems (1)
- Monte Carlo (1)
- Monte Carlo method (1)
- Moreau-Yosida regularization (1)
- Morphismus (1)
- Mosaike (1)
- Motion Capturing (1)
- Multi Primary and One Second Particle Method (1)
- Multi-Asset Option (1)
- Multi-Variant Model (1)
- Multi-dimensional systems (1)
- Multicriteria Location (1)
- Multileaf Collimator (1)
- Multileaf collimator (1)
- Multiperiod planning (1)
- Multiphase Flows (1)
- Multiple Criteria (1)
- Multiple Objective Programs (1)
- Multiple criteria analysis (1)
- Multiple criteria optimization (1)
- Multiple objective combinatorial optimization (1)
- Multiple objective optimization (1)
- Multiplicative Schwarz Algorithm (1)
- Multiresolution analysis (1)
- Multiscale Methods (1)
- Multiscale model (1)
- Multiscale modelling (1)
- Multiskalen-Entrauschen (1)
- Multiskalenapproximation (1)
- Multispektralaufnahme (1)
- Multispektralfotografie (1)
- Multisresolution Analysis (1)
- Multivariate (1)
- Multivariate Analyse (1)
- Multivariate Wahrscheinlichkeitsverteilung (1)
- Multivariates Verfahren (1)
- NP (1)
- NP-completeness (1)
- Nash equilibria (1)
- Navier Stokes equation (1)
- Navier-Stokes (1)
- Network flows (1)
- Networks (1)
- Netzwerksynthese (1)
- Neumann Wavelets (1)
- Neumann wavelets (1)
- Neumann-Problem (1)
- Neural Networks (1)
- Neuronales Netz (1)
- Newtonsches Potenzial (1)
- Nicht-Desarguessche Ebene (1)
- Nichtglatte Optimierung (1)
- Nichtkommutative Algebra (1)
- Nichtkonvexe Optimierung (1)
- Nichtkonvexes Variationsproblem (1)
- Nichtlineare Approximation (1)
- Nichtlineare Diffusion (1)
- Nichtlineare Optimierung (1)
- Nichtlineare Zeitreihenanalyse (1)
- Nichtlineare partielle Differentialgleichung (1)
- Nichtlineare/große Verformungen (1)
- Nichtlineares Galerkinverfahren (1)
- Nichtparametrische Regression (1)
- Nichtpositive Krümmung (1)
- Niederschlag (1)
- Nilpotent elements (1)
- No-Arbitrage (1)
- Non-commutative Computer Algebra (1)
- Non-convex body (1)
- Non-linear wavelet thresholding (1)
- Nonlinear Galerkin Method (1)
- Nonlinear Optimization (1)
- Nonlinear dynamics (1)
- Nonlinear regression (1)
- Nonlinear time series analysis (1)
- Nonlinear/large deformations (1)
- Nonparametric AR-ARCH (1)
- Nonparametric regression (1)
- Nonparametric time series (1)
- Nonsmooth contact dynamics (1)
- Nonstationary processes (1)
- Nulldimensionale Schemata (1)
- Numerical Analysis (1)
- Numerical Flow Simulation (1)
- Numerical methods (1)
- Numerics (1)
- Numerische Mathematik / Algorithmus (1)
- Oberflächenmaße (1)
- Oberflächenspannung (1)
- On-line algorithm (1)
- One-dimensional systems (1)
- Online Algorithms (1)
- Optimal Prior Distribution (1)
- Optimal control (1)
- Optimal portfolios (1)
- Optimal semiconductor design (1)
- Optimale Kontrolle (1)
- Optimale Portfolios (1)
- Optimization Algorithms (1)
- Option (1)
- Option Valuation (1)
- Optionsbewertung (1)
- Order (1)
- Orthonormalbasis (1)
- Ovoid (1)
- PDE-Constrained Optimization, Robust Design, Multi-Objective Optimization (1)
- Palm distribution (1)
- Panel clustering (1)
- Papiermaschine (1)
- Parallel Algorithms (1)
- Paralleler Algorithmus (1)
- Parameter identification (1)
- Parameteridentifikation (1)
- Pareto Optimality (1)
- Pareto Points (1)
- Pareto optimality (1)
- Parkette (1)
- Partikel Methoden (1)
- Patchworking Methode (1)
- Patchworking method (1)
- Pathwise Optimality (1)
- Pedestrian FLow (1)
- Perceptron (1)
- Periodic Homogenization (1)
- Perona-Malik filter (1)
- Pfadintegral (1)
- Planares Polynom (1)
- Poisson autoregression (1)
- Poisson noise (1)
- Poisson regression (1)
- PolyBoRi (1)
- Polyhedron (1)
- Polynomapproximation (1)
- Polynomial Eigenfunctions (1)
- Pontrjagin (1)
- Population Balance Equation (1)
- Poroelastizität (1)
- Porous flow (1)
- Portfolio Optimierung (1)
- Portfoliooptimierung (1)
- Potential transform (1)
- Preimage of an ideal under a morphism of algebras (1)
- Probust optimization (1)
- Project prioritization (1)
- Project selection (1)
- Projektarbeit (1)
- Projektionsoperator (1)
- Projektive Fläche (1)
- Projektunterricht (1)
- Prox-Regularisierung (1)
- Pseudopolynomial-Time Algorithm (1)
- Punktmengen (1)
- Punktprozess (1)
- QMC (1)
- QVIs (1)
- Quadratischer Raum (1)
- Quantile autoregression (1)
- Quantization (1)
- Quasi-Variational Inequalities (1)
- Quasi-identities (1)
- RCGAN (1)
- RCWGAN (1)
- RKHS (1)
- Radial Basis Functions (1)
- Radiation Therapy (1)
- Radiative Heat Trasfer (1)
- Radiative heat transfer (1)
- Radiotherapy (1)
- Rainflow (1)
- Random Errors (1)
- Random body (1)
- Random differential equations (1)
- Random number generation (1)
- Randwertproblem (1)
- Rank test (1)
- Rarefied Gas Flows (1)
- Rarefied Gsa Dynamics (1)
- Rarefied Polyatomic Gases (1)
- Rarefied gas (1)
- Raspberry Pi (1)
- Rate-independency (1)
- Ray-Knight Theorem (1)
- Rayleigh Number (1)
- Reaction-diffusion equations (1)
- Rectifiability (1)
- Recurrent Networks (1)
- Recurrent neural networks (1)
- Reflection (1)
- Reflexionsspektroskopie (1)
- Regime Shifts (1)
- Regime-Shift Modell (1)
- Regularisierung / Stoppkriterium (1)
- Regularization / Stop criterion (1)
- Regularization Wavelets (1)
- Regularization methods (1)
- Rehabilitation clinics (1)
- Relaxation (1)
- Reliability (1)
- Representation (1)
- Resolvent Estimate (1)
- Resonant tunneling diode (1)
- Restricted Regions (1)
- Restricted Shortest Path (1)
- Richtungsableitung (1)
- Riemann-Siegel formula (1)
- Riemannian manifolds (1)
- Riemannsche Mannigfaltigkeiten (1)
- Riemannsche Summen (1)
- Riesz Transform (1)
- Rigid Body Motion (1)
- Risikoanalyse (1)
- Risikomaße (1)
- Risikotheorie (1)
- Risk Management (1)
- Risk Measures (1)
- Risk Sharing (1)
- Robust smoothing (1)
- Rohstoffhandel (1)
- Rohstoffindex (1)
- Räumliche Statistik (1)
- SARS-CoV-2 (1)
- SAW filters (1)
- SGG (1)
- SPn-approximation (1)
- SST (1)
- SWARM (1)
- Saddle Points (1)
- Sandwiching algorithm (1)
- Satellitendaten (1)
- Satellitengeodäsie (1)
- Satellitengradiogravimetrie (1)
- Satellitengradiometrie (1)
- Scalar type operator (1)
- Scalar-type operator (1)
- Scale function (1)
- Scattered-Data-Interpolation (1)
- Schaum (1)
- Schaumzerfall (1)
- Schiefe Ableitung (1)
- Schnelle Fourier-Transformation (1)
- Schnitt <Mathematik> (1)
- Schwache Formulierung (1)
- Schwache Konvergenz (1)
- Schwache Lösu (1)
- Second Order Conditions (1)
- Seismic Modeling (1)
- Seismische Tomographie (1)
- Seismische Welle (1)
- Semantik (1)
- Semi-Markov-Kette (1)
- Semi-infinite optimization (1)
- Semigroups (1)
- Sensitivitäten (1)
- Sequential test (1)
- Sequenzieller Algorithmus (1)
- Serre functor (1)
- Shallow Water Equations (1)
- Shannon capacity (1)
- Shannon optimal priors (1)
- Shannon-Capacity (1)
- Shape optimization (1)
- Shapley value (1)
- Shapleywert (1)
- Shearlets (1)
- Sheaves (1)
- Shock Wave Problem (1)
- Shortest path problem (1)
- Signalanalyse (1)
- Similarity measures (1)
- Singular <Programm> (1)
- Singularität (1)
- Singularitätentheorie (1)
- Skalierungsfunktion (1)
- Slender body theory (1)
- Slender-Body Approximations (1)
- Smoothed Particle Hydrodynamics (1)
- Sobolevräume (1)
- Solvency II (1)
- Solvency-II-Richtlinie (1)
- Spannungs-Dehn (1)
- Spatial Statistics (1)
- Spectral Analysis (1)
- Spectral Method (1)
- Spectral theory (1)
- Spektralanalyse <Stochastik> (1)
- Spherical (1)
- Spherical Fast Wavelet Transform (1)
- Spherical Harmonics (1)
- Spherical Location Problem (1)
- Spherical Multiresolution Analysis (1)
- Sphärische Approximation (1)
- Sphärische Wavelets (1)
- Spieltheorie (1)
- Spline-Interpolation (1)
- Spline-Wavelets (1)
- Splines (1)
- Split-Operator (1)
- Splitoperator (1)
- Sprung-Diffusions-Prozesse (1)
- Square-mean Convergence (1)
- Stabile Vektorbundle (1)
- Stable vector bundles (1)
- Standard basis (1)
- Standortprobleme (1)
- Standorttheorie (1)
- Statistical Experiments (1)
- Statistics (1)
- Steuer (1)
- Stieltjes transform (1)
- Stochastic Impulse Control (1)
- Stochastic Processes (1)
- Stochastic Volatility (1)
- Stochastic optimization (1)
- Stochastische Inhomogenitäten (1)
- Stochastische Processe (1)
- Stochastische Volatilität (1)
- Stochastische Zinsen (1)
- Stochastische optimale Kontrolle (1)
- Stochastischer Prozess (1)
- Stochastisches Feld (1)
- Stochastisches Modell (1)
- Stokes Flow (1)
- Stokes Wavelets (1)
- Stokes wavelets (1)
- Stokes-Gleichung (1)
- Stop- and Play-Operators (1)
- Stop- und Play-Operator (1)
- Stop- und Spieloperator (1)
- Stop-und Play-Operator (1)
- Stornierung (1)
- Stoßdämpfer (1)
- Strahlentherapie (1)
- Strahlungstransport (1)
- Strain-Life Approach (1)
- Stratifaltigkeiten (1)
- Structural Reliability (1)
- Structure Theory (1)
- Strukturiertes Finanzprodukt (1)
- Strukturoptimierung (1)
- Strömungsdynamik (1)
- Strömungsmechanik (1)
- Subset Simulationen (1)
- Success Run (1)
- Survival Analysis (1)
- Synthesizer (1)
- Synthetic data generation (1)
- Systemidentifikation (1)
- Sägezahneffekt (1)
- TDTSP (1)
- TSP (1)
- Tabellenkalkulation (1)
- Tableau-Kalkül (1)
- Tail Dependence Koeffizient (1)
- Temporal Variational Autoencoders (1)
- Tensor Spherical Harmonics (1)
- Tensorfeld (1)
- Test for Changepoint (1)
- Theorem of Plemelj-Privalov (1)
- Thermophoresis (1)
- Thin film approximation (1)
- Tichonov-Regularisierung (1)
- Tiefengeothermie (1)
- Time-Series (1)
- Time-Space Multiresolution Analysis (1)
- Time-delay-Netz (1)
- TimeGAN (1)
- Titration (1)
- Topologieoptimierung (1)
- Topology optimization (1)
- Traffic flow (1)
- Train Rearrangement (1)
- Transaction costs (1)
- Translation planes (1)
- Transportation Problem (1)
- Tree (1)
- Trennschärfe <Statistik> (1)
- Trennverfahren (1)
- Treppenfunktionen (1)
- Triangular fuzzy number (1)
- Tropical Grassmannian (1)
- Tropical Intersection Theory (1)
- Tube Drawing (1)
- Two-Scale Convergence (1)
- Two-phase flow (1)
- Uniform matroids (1)
- Universal objective function (1)
- Unreinheitsfunktion (1)
- Unschärferelation (1)
- Unsupervised learning (1)
- Untermannigfaltigkeit (1)
- Upwind-Verfahren (1)
- Usage modeling (1)
- Utility (1)
- Value at Risk (1)
- Value at risk (1)
- Van Neumann-Kakutani transformation (1)
- Variational autoencoders (1)
- Variational inequalities (1)
- Variationsrechnung (1)
- Variationsungleichugen (1)
- Vector Spherical Harmonics (1)
- Vector-valued holomorphic function (1)
- Vectorfield approximation (1)
- Vectorial Wavelets (1)
- Vektor-Wavelets (1)
- Vektorfeld (1)
- Vektorfeldapproximation (1)
- Verkehsplanung (1)
- Verschlüsselung (1)
- Verschwindungsatz (1)
- Versicherung (1)
- Vetor optimization (1)
- Vigenere (1)
- Virus Variants (1)
- Viskoelastische Flüssigkeiten (1)
- Viskose Transportschemata (1)
- Volatilitätsarbitrage (1)
- Vollständigkeit (1)
- Vorkonditionierer (1)
- Vorlesungsskript (1)
- Voronoi diagram (1)
- Vorwärts-Rückwärts-Stochastische-Differentialgleichung (1)
- Water reservoir management (1)
- Wave Based Method (1)
- Wavelet Analysis auf regulären Flächen (1)
- Wavelet-Theorie (1)
- Wavelet-Theory (1)
- Wavelet-Transformation (1)
- Wavelets (1)
- Wavelets auf der Kugel und der Sphäre (1)
- Weak Solution Theory (1)
- Wellengeschwindigkeit (1)
- White Noise (1)
- Wirbelabtrennung (1)
- Wirbelströmung (1)
- Wirkungsnetz (1)
- Wissenschaftliches Rechnen (1)
- Word problem (1)
- Worst-Case (1)
- Wärmeleitfähigkeit (1)
- Yaglom limits (1)
- Zeitabhängigkeit (1)
- Zeitintegrale Modelle (1)
- Zeitliche Veränderungen (1)
- Zeitreihe (1)
- Zeitreihen (1)
- Zellulärer Automat (1)
- Zentrenprobleme (1)
- Zerlegungen (1)
- Zero-dimensional schemes (1)
- Zonal Kernel Functions (1)
- Zopfgruppe (1)
- Zufälliges Feld (1)
- Zweiphasenströmung (1)
- Zyklische Homologie (1)
- abgeleitete Kategorie (1)
- acid-mediated tumor invasion (1)
- activity-based model (1)
- adaptive algorithm (1)
- adaptive estimation (1)
- adaptive grid generation (1)
- additive Gaussian noise (1)
- adjacency (1)
- adjacency relations (1)
- adjoint approach (1)
- adjoints (1)
- aggressive space mapping (1)
- aleph (1)
- algebraic attack (1)
- algebraic correspondence (1)
- algebraic function fields (1)
- algebraic number fields (1)
- algebraic topology (1)
- algebraische Korrespondenzen (1)
- algebraische Topologie (1)
- algebroid curve (1)
- algorithm (1)
- alternating minimization (1)
- alternating optimization (1)
- analoge Mikroelektronik (1)
- angewandte Mathematik (1)
- angewandte Topologie (1)
- anisotropen Viskositätsmodell (1)
- anisotropic diffusion (1)
- anisotropic viscosity (1)
- anisotropy (1)
- applied mathematics (1)
- approximation methods (1)
- approximative Identität (1)
- arbitrary Lagrangian-Eulerian methods (ALE) (1)
- arbitrary function (1)
- archimedean copula (1)
- area loss (1)
- asian option (1)
- associated Legendre functions (1)
- asymptotic expansions (1)
- asymptotic preserving numerical scheme (1)
- asymptotic-preserving (1)
- auto-pruning (1)
- automatic differentiation (1)
- ball (1)
- basic systems theoretic properties (1)
- basket option (1)
- benders decomposition (1)
- bending strip method (1)
- best basis (1)
- bicriteria shortest path problem (1)
- bicriterion path problems (1)
- bills of material (1)
- bills of materials (1)
- bin coloring (1)
- binomial tree (1)
- biorthogonal bases of L^2 (1)
- bipolar quantum drift diffusion model (1)
- blackout period (1)
- bocses (1)
- body wave velocity (1)
- bootstrap (1)
- bottleneck (1)
- boundary conditions (1)
- boundary value problem (1)
- boundary-value problems of potent (1)
- branch and cut (1)
- branching process (1)
- bus bunching (1)
- cactus graph (1)
- cancer radiation therapy (1)
- canonical ideal (1)
- canonical module (1)
- cardinality constraint combinatorial optimization (1)
- cash management (1)
- center hyperplane (1)
- centrally symmetric polytope (1)
- change analysis (1)
- change point (1)
- changing market coefficients (1)
- characteristic polynomial (1)
- charged fluids (1)
- chemotaxis (1)
- chemotherapy (1)
- classical solutions (1)
- clo (1)
- closure approximation (1)
- clustering (1)
- clustering methods (1)
- combinatorics (1)
- common transversal (1)
- compact operator equation (1)
- complete presentations (1)
- complexity (1)
- composites (1)
- computational complexity (1)
- computational finance (1)
- computer algebra (1)
- computeralgebra (1)
- conditional quantile (1)
- conditional quantiles (1)
- confluence (1)
- consecutive ones matrix (1)
- consecutive ones polytopes (1)
- constructive approximation (1)
- control theory (1)
- convergence behaviour (1)
- convex constraints (1)
- convex distance funtion (1)
- convex operator (1)
- cooling processes (1)
- cooperative game (1)
- core (1)
- correlated errors (1)
- count data (1)
- coupling methods (1)
- coverage error (1)
- crash (1)
- crash hedging (1)
- crash modelling (1)
- credit risk (1)
- curvature (1)
- cusp forms (1)
- cut (1)
- cut basis problem (1)
- cuts (1)
- cyclic homology (1)
- da (1)
- data structure (1)
- data-adaptive bandwidth choice (1)
- decision support (1)
- decision support systems (1)
- decisions (1)
- decoding (1)
- decrease direction (1)
- default time (1)
- deficiency (1)
- deflections of the vertical (1)
- degenerations of an elliptic curve (1)
- delay management (1)
- delay management problem (1)
- denoising (1)
- dense univariate rational interpolation (1)
- density gradient equation (1)
- derivative-free iterative method (1)
- derived category (1)
- descent algorithm (1)
- determinant (1)
- differential inclusions (1)
- diffusion models (1)
- diffusive scaling (1)
- direct product (1)
- directional derivative (1)
- discrepancy (1)
- discrete element method (1)
- discrete measure (1)
- discrete time setting (1)
- discrete velocity models (1)
- discretization (1)
- diskrete Systeme (1)
- displacement problem (1)
- distribution (1)
- diversification (1)
- domain decomposition methods (1)
- domain parametrization (1)
- double exponential distribution (1)
- downward continuation (1)
- drift diffusion (1)
- drift-diffusion limit (1)
- durability (1)
- dynamic holding (1)
- dynamic network flows (1)
- dynamical topography (1)
- earliest arrival flow (1)
- earliest arrival flows (1)
- efficiency loss (1)
- efficient solution (1)
- eigenvalue problems (1)
- elasticity problem (1)
- elastoplastic BVP (1)
- elliptical distribution (1)
- endomorphism ring (1)
- energy transport (1)
- entropy (1)
- enumerative geometry (1)
- epsilon-constraint method (1)
- equilibrium state (1)
- equisingular families (1)
- estimate (1)
- estimation (1)
- estimator (1)
- exact fully discrete vectorial wavelet transform (1)
- exact solution (1)
- exchange rate (1)
- explicit representation (1)
- explicit representations (1)
- explizite Darstellung (1)
- exponential rate (1)
- extreme equilibria (1)
- f-dissimilarity (1)
- face value (1)
- facility location (1)
- fast approximation (1)
- fatigue (1)
- fiber reinforced silicon carbide (1)
- fibre lay-down dynamics (1)
- film casting (1)
- filtration (1)
- final prediction error (1)
- financial mathematics (1)
- finite biodiversity (1)
- finite difference method (1)
- finite difference schemes (1)
- finite element method (1)
- finite groups of Lie type (1)
- finite pointset method (1)
- finite spin group (1)
- finite volume methods (1)
- finite-difference methods (1)
- first hitting time (1)
- fixpoint theorem (1)
- float glass (1)
- flood risk (1)
- fluid dynamic equations (1)
- fluid structure (1)
- fluid structure interaction (1)
- fluid-structure interaction (FSI) (1)
- formale Logik (1)
- formants (1)
- formulation as integral equation (1)
- forward-shooting grid (1)
- fptas (1)
- fractals (1)
- free boundary (1)
- free surface (1)
- freie Oberfläche (1)
- frequency bands (1)
- freqzency bands (1)
- function of bounded variation (1)
- functional data (1)
- functional time series (1)
- fundamental cut (1)
- fundamental systems (1)
- gas dynamics (1)
- gauge (1)
- gebietszerlegung (1)
- general multidimensional moment problem (1)
- generalized Gummel itera (1)
- generalized inverse Gaussian diffusion (1)
- generic character table (1)
- geodetic (1)
- geomagnetic field modelling from MAGSAT data (1)
- geomathematics (1)
- geometric measure theory (1)
- geometrical algorithms (1)
- geometry of measures (1)
- geopotential determination (1)
- gitter (1)
- glioblastoma (1)
- global optimization (1)
- go-or-grow (1)
- go-or-grow dichotomy (1)
- good semigroup (1)
- gradient descent reprojection (1)
- granular flow (1)
- graph and network algorithm (1)
- graph p-Laplacian (1)
- gravimetry (1)
- gravitation (1)
- gravitational field recovery (1)
- grenzwert (1)
- group action (1)
- groups of Lie type (1)
- growing sub-quadratically (1)
- growth optimal portfolios (1)
- großer Investor (1)
- harmonic WFT (1)
- harmonic balance (1)
- harmonic scaling functions and wavelets (1)
- harmonic wavelets (1)
- headway prediction (1)
- heat radiation (1)
- hedging (1)
- hidden Markov (1)
- hierarchical matrix (1)
- higher order (1)
- higher-order moments (1)
- homological algebra (1)
- hybrid method (1)
- hyper-quasi-identities (1)
- hyperbolic conservation laws (1)
- hyperbolic systems (1)
- hyperbolic systems of conservation laws (1)
- hyperelliptic function field (1)
- hyperelliptische Funktionenkörper (1)
- hypergeometric functions (1)
- hyperplane transversal (1)
- hyperquasivarieties (1)
- hyperspectal unmixing (1)
- hypocoercivity (1)
- idealclass group (1)
- image analysis (1)
- image enhancement (1)
- image processing (1)
- image restoration (1)
- impulse control (1)
- impurity functions (1)
- incident wave (1)
- incompressible Euler equation (1)
- incompressible elasticity (1)
- incompressible limit (1)
- infinite-dimensional analysis (1)
- infinite-dimensional manifold (1)
- inflation-linked product (1)
- information (1)
- inhibitory synaptic transmission (1)
- initial temperature (1)
- initial temperature reconstruction (1)
- instantaneous phase (1)
- integer GARCH (1)
- integer-valued time series (1)
- integral constitutive equations (1)
- intensity (1)
- intensity map segmentation (1)
- interest oriented portfolios (1)
- internal approximation (1)
- intersection local time (1)
- interval graphs (1)
- intra- and extracellular proton dynamics (1)
- invariant theory (1)
- inverse Fourier transform (1)
- inversion method (1)
- isogeometric analysis (IGA) (1)
- iterative bandwidth choice (1)
- jump diffusion (1)
- jump-diffusion process (1)
- junction (1)
- k-cardinality minimum cut (1)
- k-max (1)
- kardinalzahl (1)
- kernel (1)
- kernel estimate (1)
- kernel estimates (1)
- kinetic approach (1)
- kinetic models (1)
- kinetic semiconductor equations (1)
- kinetic theory (1)
- knapsack (1)
- kombinatorische Optimierung (1)
- konvexe Analysis (1)
- kooperative Spieltheorie (1)
- label setting algorithm (1)
- large deviations (1)
- large investor (1)
- large scale integer programming (1)
- lattice Boltzmann (1)
- level K-algebras (1)
- life insurance (1)
- limes (1)
- limit models (1)
- limit theorems (1)
- linear code (1)
- linear programming (1)
- linear systems (1)
- linear transport equation (1)
- local approximation of sea surface topography (1)
- local bandwidths (1)
- local multiscale (1)
- local orientation (1)
- local search algorithm (1)
- local stationarity (1)
- local support (1)
- local trigonometric packets (1)
- local-global conjectures (1)
- localization (1)
- locally compact (1)
- locally compact kernels (1)
- locally maximal clone (1)
- locally stationary process (1)
- locally supported (Green's) vector wavelets (1)
- locally supported (Green’s) vector wavelets (1)
- locally supported wavelets (1)
- location (1)
- location problem (1)
- locational planning (1)
- log averaging methods (1)
- log-utility (1)
- logarithmic average (1)
- logarithmic averages (1)
- logarithmic utility (1)
- logical analysis (1)
- logische Analyse (1)
- lokal kompakt (1)
- lokaler Träger (1)
- lokalisierende Basis (1)
- lokalisierende Kerne (1)
- longevity bonds (1)
- loss analysis (1)
- low discrepancy (1)
- low-rank approximation (1)
- machine learning (1)
- macro derivative (1)
- magnetic field (1)
- market crash (1)
- market manipulation (1)
- markov model (1)
- martingale measu (1)
- martingale optimality principle (1)
- mathematica education (1)
- mathematical modelling (1)
- mathematical morphology (1)
- mathematische Modellierung (1)
- matrix decomposition (1)
- matrix problems (1)
- matroid flows (1)
- maximal dynamic flow (1)
- maximum a posteriori estimation (1)
- maximum capacity path (1)
- maximum entropy (1)
- maximum entropy moment (1)
- maximum flows (1)
- maximum likelihood estimation (1)
- maximum-entropy (1)
- mean-variance approach (1)
- mechanism design (1)
- mehrwertig (1)
- mesh deformation (1)
- mesh-free method (1)
- method of fundamental solutions (1)
- micromechanics (1)
- minimal paths (1)
- minimal polynomial (1)
- minimal spanning tree (1)
- minimaler Schnittbaum (1)
- minimax estimation (1)
- minimax rate (1)
- minimax risk (1)
- minimum cost flows (1)
- minimum cut (1)
- minimum cut tree (1)
- minimum fundamental cut basis (1)
- mixed convection (1)
- mixed methods (1)
- mixed multiscale finite element methods (1)
- mixing (1)
- mixture models (1)
- mixture of quantum fluids and classical fluids (1)
- model order reduction (1)
- model reduction (1)
- moduli space (1)
- moduli spaces (1)
- moment methods (1)
- monlinear vibration (1)
- monodromy (1)
- monogenic signals (1)
- monoid- and group-presentations (1)
- monotone Konvergenz (1)
- monotone consecutive arrangement (1)
- moving contact line (1)
- multi scale (1)
- multi-asset option (1)
- multi-class image segmentation (1)
- multi-level Monte Carlo (1)
- multi-phase flow (1)
- multi-scale model (1)
- multicategory (1)
- multicriteria minimal path problem is presented (1)
- multidimensional Kohonen algorithm (1)
- multifilament superconductor (1)
- multigrid method (1)
- multigrid methods (1)
- multileaf collimator sequencing (1)
- multiliead collimator sequencing (1)
- multiobjective optimization (1)
- multipatch (1)
- multiple collision frequencies (1)
- multiple objective (1)
- multiple objective optimization (1)
- multiresolution analysis (1)
- multiscale analysis (1)
- multiscale approximation (1)
- multiscale approximation on regular telluroidal surfaces (1)
- multiscale denoising (1)
- multiscale methods (1)
- multiscale modeling (1)
- multiscale models (1)
- multivariate chi-square-test (1)
- mutiresolution (1)
- naive diversification (1)
- neighborhood search (1)
- network congestion game (1)
- network flow (1)
- network location (1)
- network synthesis (1)
- netzgenerierung (1)
- neural networks (1)
- never-meet property (1)
- nicht-newtonsche Strömungen (1)
- nichtlineare Druckkorrektor (1)
- nichtlineare Modellreduktion (1)
- nichtlineare Netzwerke (1)
- nichtparametrisch (1)
- non square linear system solving (1)
- non-Gaussia non-i.i.d. errors (1)
- non-commutative geometry (1)
- non-convex body (1)
- non-convex optimization (1)
- non-desarguesian plane (1)
- non-linear wavelet thresholding (1)
- non-local filtering (1)
- non-newtonian flow (1)
- non-parametric regression (1)
- non-stationary time series (1)
- nonconvex optimization (1)
- noninformative prior (1)
- nonlinear circuits (1)
- nonlinear elasticity (1)
- nonlinear finite element method (1)
- nonlinear heat equation (1)
- nonlinear inverse problem (1)
- nonlinear model reduction (1)
- nonlinear pressure correction (1)
- nonlinear term structure dependence (1)
- nonlinear thresholding (1)
- nonlinear vibration analysis (1)
- nonlinear wavelet thresholding (1)
- nonlocal filtering (1)
- nonlocal sample dependence (1)
- nonnegative matrix factorization (1)
- nonparametric (1)
- nonparametric regression and (spectral) density estimation (1)
- nonwovens (1)
- norm (1)
- normal cone (1)
- normal mode (1)
- normality (1)
- normalization (1)
- normed residuum (1)
- number fields (1)
- number of objectives (1)
- numeraire portfolios (1)
- numerical integration (1)
- numerical irreducible decomposition (1)
- numerical methods (1)
- numerical methods for stiff equations (1)
- numerics for pdes (1)
- numerische Strömungssimulation (1)
- numerisches Verfahren (1)
- oblique derivative (1)
- one-dimensional self-organization (1)
- operator splitting (1)
- optimal capital structure (1)
- optimal consumption and investment (1)
- optimal portfolios (1)
- optimal rate of convergence (1)
- optiman stopping (1)
- option pricing (1)
- option valuation (1)
- order selection (1)
- order-three density (1)
- order-two density (1)
- orthogonal bandlimited and non-bandlimited wavelets (1)
- ovoids (1)
- parallel numerical algorithms (1)
- parameter choice (1)
- parameter identification (1)
- partial differential equation (1)
- partial differential equations (1)
- partial differential-algebraic equations (1)
- partial information (1)
- partition of unity (1)
- path-dependent options (1)
- pattern (1)
- penalization (1)
- penalty methods (1)
- penalty-free formulation (1)
- personnel scheduling (1)
- petroleum exploration (1)
- physicians (1)
- piezoelectric periodic surface acoustic wave filters (1)
- planar Brownian motion (1)
- planar polynomial (1)
- polycyclic group rings (1)
- polyhedral analysis (1)
- polyhedral norm (1)
- polynomial weight functions (1)
- porous media flow (1)
- portfolio (1)
- portfolio decision (1)
- portfolio optimisation (1)
- portfolio-optimization (1)
- poröse Medien (1)
- positivity preserving time integration (1)
- posterior collapse (1)
- potential (1)
- potential operators (1)
- preconditioners (1)
- predictive control (1)
- prefix reduction (1)
- prefix string rewriting (1)
- prefix-rewriting (1)
- preservation of relations (1)
- pressure correction (1)
- price of anarchy (1)
- price of stability (1)
- primal-dual algorithm (1)
- probability distribution (1)
- projected quasi-gradient method (1)
- projection method (1)
- projective surfaces (1)
- properly efficient solution (1)
- proximation (1)
- proxy modeling (1)
- pseudospectral methods (1)
- public transport (1)
- public transportation (1)
- pyramid schemes (1)
- pyramids (1)
- quadratic forms (1)
- quadrinomial tree (1)
- qualitative threshold model (1)
- quantile autoregression (1)
- quasi-Monte Carlo (1)
- quasi-P (1)
- quasi-SH (1)
- quasi-SV (1)
- quasi-variational inequalities (1)
- quasihomogeneity (1)
- quasiregular group (1)
- quasireguläre Gruppe (1)
- quasivarieties (1)
- quickest path (1)
- radiation therapy (1)
- radiative heat transfer (1)
- rainflow (1)
- random noise (1)
- rare disasters (1)
- rarefied gas flows (1)
- rate-independency (1)
- ratio ergodic theorem (1)
- raum-zeitliche Analyse (1)
- reaction-diffusion-taxis equations (1)
- reaction-diffusion-transport equations (1)
- real quadratic number fields (1)
- reconstruction formula (1)
- reconstructions (1)
- redundant constraint (1)
- reference prior (1)
- reflectionless boundary condition (1)
- reflexionslose Randbedingung (1)
- refraction (1)
- regime-shift model (1)
- regularization by wavelets (1)
- regularization methods (1)
- reguläre Fläche (1)
- reinitialization (1)
- rela (1)
- representative systems (1)
- residual based error formula (1)
- resource constrained shortest path problem (1)
- rewriting (1)
- rheology (1)
- risk analysis (1)
- risk measures (1)
- risk reduction (1)
- robust network flows (1)
- robustness (1)
- rostering (1)
- s external gravitational field (1)
- sampling (1)
- satellite gradiometry (1)
- satellite-to-satellite tracking (1)
- sawtooth effect (1)
- scalar and vectorial wavelets (1)
- scalar conservation laws (1)
- scalarization (1)
- scale discrete spherical vector wavelets (1)
- scaled boundary isogeometric analysis (1)
- scaled boundary parametrizations (1)
- scaled translates (1)
- scaling functions (1)
- scheduling (1)
- scheduling theory (1)
- schlecht gestellt (1)
- schnelle Approximation (1)
- second class group (1)
- second order upwind discretization (1)
- seismic tomography (1)
- seismic wave (1)
- selfish routing (1)
- semi-classical limits (1)
- semigroup of values (1)
- semisprays (1)
- sensitivities (1)
- separation problem (1)
- sequential test (1)
- set covering (1)
- severely ill-posed inverse problems (1)
- shape optimization (1)
- sheaf theory (1)
- shear flow (1)
- shock wave (1)
- short-time periodogram (1)
- shortest path problem (1)
- sieve estimate (1)
- similarity measures (1)
- simulierte Finanzzeitreihe (1)
- single layer kernel (1)
- singular fluxes (1)
- singular optimal control (1)
- singular spaces (1)
- singuläre Räume (1)
- sink location (1)
- slope limiter (1)
- smoothing (1)
- solution formula (1)
- sparse interpolation of multivariate rational functions (1)
- sparse multivariate polynomial interpolation (1)
- sparsity (1)
- special entropies (1)
- spectral sequences (1)
- spectrogram (1)
- speech recognition (1)
- sphere (1)
- spherical decomposition (1)
- spherical splines (1)
- spline (1)
- spline and wavelet based determination of the geoid and the gravitational potential (1)
- spline-wavelets (1)
- splitting function (1)
- sputtering process (1)
- squares (1)
- stability (1)
- stability uniformly in the mean free path (1)
- star-shaped domain (1)
- stationary solutions (1)
- statistical experiment (1)
- steady Boltzmann equation (1)
- stimulus response data (1)
- stochastic arbitrage (1)
- stochastic coefficient (1)
- stochastic differential equations (1)
- stochastic interest rate (1)
- stochastic optimal control (1)
- stochastic processes (1)
- stochastic stability (1)
- stochastische Arbitrage (1)
- stop location (1)
- stop- and play-operator (1)
- stop- and play-operators (1)
- stratifolds (1)
- strictly quasi-convex functions (1)
- strong equilibria (1)
- strong theorems (1)
- strongly polynomial-time algorithm (1)
- structure tensor (1)
- subgradient (1)
- subgroup presentation problem (1)
- superposed fluids (1)
- superstep cycles (1)
- surface measures (1)
- surrender options (1)
- surrogate algorithm (1)
- systems (1)
- syzygies (1)
- tail dependence coefficient (1)
- tax (1)
- technische Analyse (1)
- tension problems (1)
- tensions (1)
- tensor product basis (1)
- test (1)
- texture (1)
- thermal equilibrium state (1)
- threshold choice (1)
- time delays (1)
- time-delayed carrying capacities (1)
- time-dependent shortest path problem (1)
- time-frequency plan (1)
- time-varying autoregression (1)
- time-varying covariance (1)
- topological asymptotic expansion (1)
- toric geometry (1)
- torische Geometrie (1)
- total latency (1)
- total variation (1)
- total variation spatial regularization (1)
- traffic planning (1)
- transit operations (1)
- translation invariant spaces (1)
- translinear circuits (1)
- translineare Schaltungen (1)
- transmission conditions (1)
- trial systems (1)
- triclinic medium (1)
- tropical geometry (1)
- tumor acidity (1)
- tumor cell invasion (1)
- tumor cell migration (1)
- two-scale expansion (1)
- unbeschränktes Potential (1)
- unbounded potential (1)
- uncapacitated facility location (1)
- uncertainty principle (1)
- unendlich (1)
- uniform central limit theorem (1)
- uniform consistency (1)
- uniform ergodicity (1)
- unimodular certification (1)
- unimodularity (1)
- value preserving portfolios (1)
- value semigroup (1)
- value-at-risk (1)
- valuing contracts (1)
- variable selection (1)
- variational methods (1)
- variational model (1)
- vector bundles (1)
- vector measure (1)
- vector wavelets (1)
- vectorial multiresolution analysis (1)
- vehicular traffic (1)
- verication theorem (1)
- vertical velocity (1)
- vertikale Geschwindigkeiten (1)
- viscoelastic fluids (1)
- viscosity solutions (1)
- volatility arbitrage (1)
- vortex seperation (1)
- wave propagation (1)
- wavelet estimators (1)
- wavelet packets (1)
- wavelet thresholding (1)
- wavelet transform (1)
- weak dependence (1)
- weak solution theory (1)
- weak solutions (1)
- weakly/ strictly pareto optima (1)
- weight optimization (1)
- windowed Fourier transform (1)
- winner definition (1)
- worst-case (1)
- Äquisingularität (1)
- Überflutung (1)
- Überflutungsrisiko (1)
- Übergangsbedingungen (1)
Faculty / Organisational entity
Understanding human crowd behaviour has been an intriguing topic of interdisciplinary research in recent decades. Modelling of crowd dynamics using differential equations is an indispensable approach to unraveling the various complex dynamics involved in such interacting particle systems. Numerical simulation of pedestrian crowd via these mathematical models allows us to study different realistic scenarios beyond the limitations of studies via controlled experiments.
In this thesis, the main objective is to understand and analyse the dynamics in a domain shared by both pedestrians and moving obstacles. We model pedestrian motion by combining the social force concept with the idea of optimal path computation. This leads to a system of ordinary differential equations governing the dynamics of individual pedestrians via the interaction forces (social forces) between them. Additionally, a non-local force term involving the optimal path and desired velocity governs the pedestrian trajectory. The optimal path computation involves solving a time-independent Eikonal equation, which is coupled to the system of ODEs. A hydrodynamic model is developed from this microscopic model via the mean-field limit.
To consider the interaction with moving obstacles in the domain, we model a set of kinematic equations for the obstacle motion. Two kinds of obstacles are considered - "passive", which move in their predefined trajectories and have only a one-way interaction with pedestrians, and "dynamic", which have a feedback interaction with pedestrians and have their trajectories changing dynamically. The coupled model of pedestrians and obstacles is used to discern pedestrian collision avoidance behaviour in different computational scenarios in a long rectangular domain. We observe that pedestrians avoid collisions through route choice strategies that involve changes in speed and path. We extend this model to consider the interaction between pedestrians and vehicular traffic. We appropriately model the interactions of vehicles, following lane traffic, based on the car-following approach. We observe how the deceleration and braking mechanism of vehicles is executed at pedestrian crossings depending on the right of way on the roads.
As a second objective, we study the disease contagion in moving crowds. We consider the influence of the crowd motion in a complex dynamical environment on the course of infection of pedestrians. A hydrodynamic model for multi-group pedestrian flow is derived from the kinetic equations based on a social force model. It is coupled along with an Eikonal equation to a non-local SEIS contagion model for disease spread. Here, apart from the description of local contacts, the influence of contact times has also been modelled. We observe that the nature of the flow and the geometry of the domain lead to changes in density which affect the contact time and, consequently, the rate of spread of infection.
Finally, the social force model is compared to a variable speed based rational behaviour pedestrian model. We derive a hierarchy of the heuristics-based model from microscopic to macroscopic scales and numerically investigate these models in different density scenarios. Various numerical test cases are considered, including uni- and bi-directional flows and scenarios with and without obstacles. We observe that in low-density scenarios, collision avoidance forces arising from the behavioural heuristics give valid results. Whereas in high-density scenarios, repulsive force terms are essential.
The numerical simulations of all the models are carried out using a mesh-free particle method based on least square approximations. The meshfree numerical framework provides an efficient and elegant way to handle complex geometric situations involving boundaries and stationary or moving obstacles.
A geoscientifically relevant wavelet approach is established for the classical (inner) displacement problem corresponding to a regular surface (such as sphere, ellipsoid, actual earth's surface). Basic tools are the limit and jump relations of (linear) elastostatics. Scaling functions and wavelets are formulated within the framework of the vectorial Cauchy-Navier equation. Based on appropriate numerical integration rules a pyramid scheme is developed providing fast wavelet transform (FWT). Finally multiscale deformation analysis is investigated numerically for the case of a spherical boundary.
The focus of this work has been to develop two families of wavelet solvers for the inner displacement boundary-value problem of elastostatics. Our methods are particularly suitable for the deformation analysis corresponding to geoscientifically relevant (regular) boundaries like sphere, ellipsoid or the actual Earth's surface. The first method, a spatial approach to wavelets on a regular (boundary) surface, is established for the classical (inner) displacement problem. Starting from the limit and jump relations of elastostatics we formulate scaling functions and wavelets within the framework of the Cauchy-Navier equation. Based on numerical integration rules a tree algorithm is constructed for fast wavelet computation. This method can be viewed as a first attempt to "short-wavelength modelling", i.e. high resolution of the fine structure of displacement fields. The second technique aims at a suitable wavelet approximation associated to Green's integral representation for the displacement boundary-value problem of elastostatics. The starting points are tensor product kernels defined on Cauchy-Navier vector fields. We come to scaling functions and a spectral approach to wavelets for the boundary-value problems of elastostatics associated to spherical boundaries. Again a tree algorithm which uses a numerical integration rule on bandlimited functions is established to reduce the computational effort. For numerical realization for both methods, multiscale deformation analysis is investigated for the geoscientifically relevant case of a spherical boundary using test examples. Finally, the applicability of our wavelet concepts is shown by considering the deformation analysis of a particular region of the Earth, viz. Nevada, using surface displacements provided by satellite observations. This represents the first step towards practical applications.
In this thesis, we have dealt with two modeling approaches of the credit risk, namely the structural (firm value) and the reduced form. In the former one, the firm value is modeled by a stochastic process and the first hitting time of this stochastic process to a given boundary defines the default time of the firm. In the existing literature, the stochastic process, triggering the firm value, has been generally chosen as a diffusion process. Therefore, on one hand it is possible to obtain closed form solutions for the pricing problems of credit derivatives and on the other hand the optimal capital structure of a firm can be analysed by obtaining closed form solutions of firm's corporate securities such as; equity value, debt value and total firm value, see Leland(1994). We have extended this approach by modeling the firm value as a jump-diffusion process. The choice of the jump-diffusion process was a crucial step to obtain closed form solutions for corporate securities. As a result, we have chosen a jump-diffusion process with double exponentially distributed jump heights, which enabled us to analyse the effects of jump on the optimal capital structure of a firm. In the second part of the thesis, by following the reduced form models, we have assumed that the default is triggered by the first jump of a Cox process. Further, by following Schönbucher(2005), we have modeled the forward default intensity of a firm as a geometric Brownian motion and derived pricing formulas for credit default swap options in a more general setup than the ones in Schönbucher(2005).
In 2006 Jeffrey Achter proved that the distribution of divisor class groups of degree 0 of function fields with a fixed genus and the distribution of eigenspaces in symplectic similitude groups are closely related to each other. Gunter Malle proposed that there should be a similar correspondence between the distribution of class groups of number fields and the distribution of eigenspaces in ceratin matrix groups. Motivated by these results and suggestions we study the distribution of eigenspaces corresponding to the eigenvalue one in some special subgroups of the general linear group over factor rings of rings of integers of number fields and derive some conjectural statements about the distribution of \(p\)-parts of class groups of number fields over a base field \(K_{0}\). Where our main interest lies in the case that \(K_{0}\) contains the \(p\)th roots of unity, because in this situation the \(p\)-parts of class groups seem to behave in an other way like predicted by the popular conjectures of Henri Cohen and Jacques Martinet. In 2010 based on computational data Malle has succeeded in formulating a conjecture in the spirit of Cohen and Martinet for this case. Here using our investigations about the distribution in matrixgroups we generalize the conjecture of Malle to a more abstract level and establish a theoretical backup for these statements.
In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global existence and uniqueness of solutions to this stochastic partial differential equation are proven using stochastic maximal
-regularity, the theory of critical spaces for stochastic evolution equations, and global a priori bounds. Compared to other results in this direction, we do not need any smallness assumption on the transport noise which acts directly on the velocity field and we also allow rougher noise terms. The adaptation to Stratonovich type noise and, more generally, to variable viscosity and/or conductivity are discussed as well.
Abstract
The main theme of this thesis is about Graph Coloring Applications and Defining Sets in Graph Theory.
As in the case of block designs, finding defining sets seems to be difficult problem, and there is not a general conclusion. Hence we confine us here to some special types of graphs like bipartite graphs, complete graphs, etc.
In this work, four new concepts of defining sets are introduced:
• Defining sets for perfect (maximum) matchings
• Defining sets for independent sets
• Defining sets for edge colorings
• Defining set for maximal (maximum) clique
Furthermore, some algorithms to find and construct the defining sets are introduced. A review on some known kinds of defining sets in graph theory is also incorporated, in chapter 2 the basic definitions and some relevant notations used in this work are introduced.
chapter 3 discusses the maximum and perfect matchings and a new concept for a defining set for perfect matching.
Different kinds of graph colorings and their applications are the subject of chapter 4.
Chapter 5 deals with defining sets in graph coloring. New results are discussed along with already existing research results, an algorithm is introduced, which enables to determine a defining set of a graph coloring.
In chapter 6, cliques are discussed. An algorithm for the determination of cliques using their defining sets. Several examples are included.
We present a constructive theory for locally supported approximate identities on the unit ball in \(\mathbb{R}^3\). The uniform convergence of the convolutions of the derived kernels with an arbitrary continuous function \(f\) to \(f\), i.e. the defining property of an approximate identity, is proved. Moreover, an explicit representation for a class of such kernels is given. The original publication is available at www.springerlink.com
We consider a linearized kinetic BGK equation and the associated acoustic system on a network.
Coupling conditions for the macroscopic equations are derived from the kinetic conditions via an asymptotic analysis near the nodes of the network.
This analysis leads to the consideration of a fixpoint problem involving the solutions of kinetic half-space problems.
This work extends the procedure developed in [13], where coupling conditions for a simplified BGK model have been derived.
Numerical comparisons between different coupling conditions
confirm the accuracy of the proposed approximation.
Numerical Algorithms in Algebraic Geometry with Implementation in Computer Algebra System SINGULAR
(2011)
Polynomial systems arise in many applications: robotics, kinematics, chemical kinetics,
computer vision, truss design, geometric modeling, and many others. Many polynomial
systems have solutions sets, called algebraic varieties, having several irreducible
components. A fundamental problem of the numerical algebraic geometry is to decompose
such an algebraic variety into its irreducible components. The witness point sets are
the natural numerical data structure to encode irreducible algebraic varieties.
Sommese, Verschelde and Wampler represented the irreducible algebraic decomposition of
an affine algebraic variety \(X\) as a union of finite disjoint sets \(\cup_{i=0}^{d}W_i=\cup_{i=0}^{d}\left(\cup_{j=1}^{d_i}W_{ij}\right)\) called numerical irreducible decomposition. The \(W_i\) correspond to the pure i-dimensional components, and the \(W_{ij}\) represent the i-dimensional irreducible components. The numerical irreducible decomposition is implemented in BERTINI.
We modify this concept using partially Gröbner bases, triangular sets, local dimension, and
the so-called zero sum relation. We present in the second chapter the corresponding
algorithms and their implementations in SINGULAR. We give some examples and timings,
which show that the modified algorithms are more efficient if the number of variables is not
too large. For a large number of variables BERTINI is more efficient.
Leykin presented an algorithm to compute the embedded components of an algebraic variety
based on the concept of the deflation of an algebraic variety.
Depending on the modified algorithm mentioned above, we will present in the third chapter an
algorithm and its implementation in SINGULAR to compute the embedded components.
The irreducible decomposition of algebraic varieties allows us to formulate in the fourth
chapter some numerical algebraic algorithms.
In the last chapter we present two SINGULAR libraries. The first library is used to compute
the numerical irreducible decomposition and the embedded components of an algebraic variety.
The second library contains the procedures of the algorithms in the last Chapter to test
inclusion, equality of two algebraic varieties, to compute the degree of a pure i-dimensional
component, and the local dimension.
LinTim is a scientific software toolbox that has been under development since 2007, giving the possibility to solve the various planning steps in public transportation. Although the name originally derives from "Lineplanning and Timetabling", the available functions have grown far beyond this scope.
This document is the documentation for version 2020.02.
For more information, see https://www.lintim.net
In these notes we will discuss some aspects of a problem arising in carindustry. For the sake of clarity we will set the problem into an extremely simplified scheme. Suppose that we have a body which is emitting sound, and that the sound is measured at a finite number of points around the body. We wish to determine the intensity of the sound at an observation point which is moving.
Tropical intersection theory
(2010)
This thesis consists of five chapters: Chapter 1 contains the basics of the theory and is essential for the rest of the thesis. Chapters 2-5 are to a large extent independent of each other and can be read separately. - Chapter 1: Foundations of tropical intersection theory In this first chapter we set up the foundations of a tropical intersection theory covering many concepts and tools of its counterpart in algebraic geometry such as affine tropical cycles, Cartier divisors, morphisms of tropical cycles, pull-backs of Cartier divisors, push-forwards of cycles and an intersection product of Cartier divisors and cycles. Afterwards, we generalize these concepts to abstract tropical cycles and introduce a concept of rational equivalence. Finally, we set up an intersection product of cycles and prove that every cycle is rationally equivalent to some affine cycle in the special case that our ambient cycle is R^n. We use this result to show that rational and numerical equivalence agree in this case and prove a tropical Bézout's theorem. - Chapter 2: Tropical cycles with real slopes and numerical equivalence In this chapter we generalize our definitions of tropical cycles to polyhedral complexes with non-rational slopes. We use this new definition to show that if our ambient cycle is a fan then every subcycle is numerically equivalent to some affine cycle. Finally, we restrict ourselves to cycles in R^n that are "generic" in some sense and study the concept of numerical equivalence in more detail. - Chapter 3: Tropical intersection products on smooth varieties We define an intersection product of tropical cycles on tropical linear spaces L^n_k and on other, related fans. Then, we use this result to obtain an intersection product of cycles on any "smooth" tropical variety. Finally, we use the intersection product to introduce a concept of pull-backs of cycles along morphisms of smooth tropical varieties and prove that this pull-back has all expected properties. - Chapter 4: Weil and Cartier divisors under tropical modifications First, we introduce "modifications" and "contractions" and study their basic properties. After that, we prove that under some further assumptions a one-to-one correspondence of Weil and Cartier divisors is preserved by modifications. In particular we can prove that on any smooth tropical variety we have a one-to-one correspondence of Weil and Cartier divisors. - Chapter 5: Chern classes of tropical vector bundles We give definitions of tropical vector bundles and rational sections of tropical vector bundles. We use these rational sections to define the Chern classes of such a tropical vector bundle. Moreover, we prove that these Chern classes have all expected properties. Finally, we classify all tropical vector bundles on an elliptic curve up to isomorphisms.
The various uses of fiber-reinforced composites, for example in the enclosures of planes, boats and cars, generates the demand for a detailed analysis of these materials. The final goal is to optimize fibrous materials by the means of “virtual material design”. New fibrous materials are virtually created as realizations of a stochastic model and evaluated with physical simulations. In that way, materials can be optimized for specific use cases, without constructing expensive prototypes or performing mechanical experiments. In order to design a practically fabricable material, the stochastic model is first adapted to an existing material and then slightly modified. The virtual reconstruction of the existing material requires a precise knowledge of the geometry of its microstructure. The first part of this thesis describes a fiber quantification method by the means of local measurements of the fiber radius and orientation. The combination of a sparse chord length transform and inertia moments leads to an efficient and precise new algorithm. It outperforms existing approaches with the possibility to treat different fiber radii within one sample, with high precision in continuous space and comparably fast computing time. This local quantification method can be directly applied on gray value images by adapting the directional distance transforms on gray values. In this work, several approaches of this kind are developed and evaluated. Further characterization of the fiber system requires a segmentation of each single fiber. Using basic morphological operators with specific structuring elements, it is possible to derive a probability for each pixel describing if the pixel belongs to a fiber core in a region without overlapping fibers. Tracking high probabilities leads to a partly reconstruction of the fiber cores in non crossing regions. These core parts are then reconnected over critical regions, if they fulfill certain conditions ensuring the affiliation to the same fiber. In the second part of this work, we develop a new stochastic model for dense systems of non overlapping fibers with a controllable level of bending. Existing approaches in the literature have at least one weakness in either achieving high volume fractions, producing non overlapping fibers, or controlling the bending or the orientation distribution. This gap can be bridged by our stochastic model, which operates in two steps. Firstly, a random walk with the multivariate von Mises-Fisher orientation distribution defines bent fibers. Secondly, a force-biased packing approach arranges them in a non overlapping configuration. Furthermore, we provide the estimation of all parameters needed for the fitting of this model to a real microstructure. Finally, we simulate the macroscopic behavior of different microstructures to derive their mechanical and thermal properties. This part is mostly supported by existing software and serves as a summary of physical simulation applied to random fiber systems. The application on a glass fiber reinforced polymer proves the quality of the reconstruction by our stochastic model, as the effective properties match for both the real microstructure and the realizations of the fitted model. This thesis includes all steps to successfully perform virtual material design on various data sets. With novel and efficient algorithms it contributes to the science of analysis and modeling of fiber reinforced materials.
The main aim of this work was to obtain an approximate solution of the seismic traveltime tomography problems with the help of splines based on reproducing kernel Sobolev spaces. In order to be able to apply the spline approximation concept to surface wave as well as to body wave tomography problems, the spherical spline approximation concept was extended for the case where the domain of the function to be approximated is an arbitrary compact set in R^n and a finite number of discontinuity points is allowed. We present applications of such spline method to seismic surface wave as well as body wave tomography, and discuss the theoretical and numerical aspects of such applications. Moreover, we run numerous numerical tests that justify the theoretical considerations.
In this paper we construct spline functions based on a reproducing kernel Hilbert space to interpolate/approximate the velocity field of earthquake waves inside the Earth based on traveltime data for an inhomogeneous grid of sources (hypocenters) and receivers (seismic stations). Theoretical aspects including error estimates and convergence results as well as numerical results are demonstrated.
In this paper we study the space-time asymptotic behavior of the solutions and derivatives to th incompressible Navier-Stokes equations. Using moment estimates we obtain that strong solutions to the Navier-Stokes equations which decay in \(L^2\) at the rate of \(||u(t)||_2 \leq C(t+1)^{-\mu}\) will have the following pointwise space-time decay \[|D^{\alpha}u(x,t)| \leq C_{k,m} \frac{1}{(t+1)^{ \rho_o}(1+|x|^2)^{k/2}} \]
where \( \rho_o = (1-2k/n)( m/2 + \mu) + 3/4(1-2k/n)\), and \(|a |= m\). The dimension n is \(2 \leq n \leq 5\) and \(0\leq k\leq n\) and \(\mu \geq n/4\)
We investigate the long-term behaviour of diffusions on the non-negative real numbers under killing at some random time. Killing can occur at zero as well as in the interior of the state space. The diffusion follows a stochastic differential equation driven by a Brownian motion. The diffusions we are working with will almost surely be killed. In large parts of this thesis we only assume the drift coefficient to be continuous. Further, we suppose that zero is regular and that infinity is natural. We condition the diffusion on survival up to time t and let t tend to infinity looking for a limiting behaviour.
An autoregressive-ARCH model with possible exogeneous variables is treated. We estimate the conditional volatility of the model by applying feedforward networks to the residuals and prove consistency and asymptotic normality for the estimates under the rate of feedforward networks complexity. Recurrent neural networks estimates of GARCH and value-at-risk is studied. We prove consistency and asymptotic normality for the recurrent neural networks ARMA estimator under the rate of recurrent networks complexity. We also overcome the estimation problem in stochastic variance models in discrete time by feedforward networks and the introduction of a new distributions on the innovations. We use the method to calculate market risk such as expected shortfall and Value-at risk. We tested this distribution together with other new distributions on the GARCH family models against other common distributions on the financial market such as Normal Inverse Gaussian, normal and the Student's t- distributions. As an application of the models, some German stocks are studied and the different approaches are compared together with the most common method of GARCH(1,1) fit.