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)
- 1991 (31)
- 2006 (31)
- 2001 (30)
- 2009 (30)
- 2011 (30)
- 1993 (28)
- 2008 (28)
- 2016 (28)
- 2002 (27)
- 2013 (27)
- 2004 (26)
- 2012 (22)
- 2010 (21)
- 2017 (19)
- 2018 (18)
- 1990 (10)
- 2019 (10)
- 1985 (8)
- 1984 (7)
- 1986 (6)
- 1987 (6)
- 1989 (6)
- 1988 (5)
- 1979 (2)
- 1981 (1)
- 1983 (1)
Document Type
- Preprint (604)
- Doctoral Thesis (232)
- Report (121)
- Article (34)
- Diploma Thesis (25)
- Lecture (19)
- Master's Thesis (5)
- Part of a Book (4)
- Study Thesis (4)
- Working Paper (4)
Keywords
- Wavelet (14)
- Inverses Problem (12)
- Mehrskalenanalyse (12)
- Modellierung (12)
- Mathematikunterricht (9)
- Mathematische Modellierung (9)
- praxisorientiert (9)
- Approximation (8)
- Boltzmann Equation (8)
- MINT (8)
- Regularisierung (8)
- Lineare Algebra (7)
- Location Theory (7)
- Numerical Simulation (7)
- Optimization (7)
- Schule (7)
- integer programming (7)
- Algebraische Geometrie (6)
- Finanzmathematik (6)
- Gravitationsfeld (6)
- Navier-Stokes-Gleichung (6)
- modelling (6)
- wavelets (6)
- Elastoplastizität (5)
- Numerische Mathematik (5)
- Portfolio Selection (5)
- Stochastische dynamische Optimierung (5)
- nonparametric regression (5)
- portfolio optimization (5)
- time series (5)
- Combinatorial Optimization (4)
- Elastizität (4)
- Galerkin-Methode (4)
- Hysterese (4)
- Kugel (4)
- Multicriteria optimization (4)
- Optionspreistheorie (4)
- Portfolio-Optimierung (4)
- Sphäre (4)
- haptotaxis (4)
- hub location (4)
- isogeometric analysis (4)
- linear algebra (4)
- mathematical education (4)
- multiscale model (4)
- network flows (4)
- neural network (4)
- praxis orientated (4)
- Analysis (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)
- Homogenisierung <Mathematik> (3)
- Hysteresis (3)
- Kugelflächenfunktion (3)
- Lineare Optimierung (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)
- Simplex (3)
- Sobolev-Raum (3)
- Spherical Wavelets (3)
- Spline (3)
- Spline-Approximation (3)
- Standortplanung (3)
- Stücklisten (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)
- lattice Boltzmann method (3)
- low Mach number limit (3)
- numerics (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)
- Bewertung (2)
- Biorthogonalisation (2)
- Biot-Savart Operator (2)
- Biot-Savart operator (2)
- CFD (2)
- CHAMP (2)
- Computer Algebra System (2)
- Computeralgebra System (2)
- Decomposition and Reconstruction Schemes (2)
- Derivat <Wertpapier> (2)
- Diffusionsprozess (2)
- EM algorithm (2)
- Elastic BVP (2)
- Elasticity (2)
- Elastische Deformation (2)
- Elastisches RWP (2)
- Elastoplastisches RWP (2)
- Endliche Geometrie (2)
- Erdmagnetismus (2)
- Fatigue (2)
- Filtergesetz (2)
- Filtration (2)
- Finite Pointset Method (2)
- GOCE <Satellitenmission> (2)
- GRACE <Satellitenmission> (2)
- Geometrical Algorithms (2)
- Geothermal Flow (2)
- Graphentheorie (2)
- Gruppentheorie (2)
- Hamilton-Jacobi-Differentialgleichung (2)
- Hochskalieren (2)
- Hypervolume (2)
- IMRT (2)
- Inverse Problem (2)
- Jiang's model (2)
- Jiang-Modell (2)
- Konvergenz (2)
- Kreditrisiko (2)
- Laplace transform (2)
- Level-Set-Methode (2)
- Lineare Elastizitätstheorie (2)
- Local smoothing (2)
- Logik (2)
- Lokalisation (2)
- Markov Chain (2)
- Mehrkriterielle Optimierung (2)
- Mehrskalenmodell (2)
- Mixture Models (2)
- Modellbildung (2)
- Modulraum (2)
- Multiobjective programming (2)
- Multivariate Approximation (2)
- NURBS (2)
- Neural networks (2)
- Numerisches Verfahren (2)
- Optimal Control (2)
- Optimierung (2)
- Order of printed copy (2)
- Palm distributions (2)
- Parallel volume (2)
- Particle Methods (2)
- Partielle Differentialgleichung (2)
- Poröser Stoff (2)
- Rarefied Gas Dynamics (2)
- Ratenunabhängigkeit (2)
- Regularization (2)
- Schnitttheorie (2)
- Simulation (2)
- Singularity theory (2)
- Sobolev spaces (2)
- Split Operator (2)
- Stochastic Control (2)
- Stochastische Differentialgleichung (2)
- Subset selection (2)
- Theorie schwacher Lösungen (2)
- Transaktionskosten (2)
- Up Functions (2)
- Upscaling (2)
- Value-at-Risk (2)
- Variationsungleichungen (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)
- kinetic equations (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)
- 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)
- (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)
- AR-ARCH (1)
- Abel integral equations (1)
- Abelian groups (1)
- Abgeschlossenheit (1)
- Ableitung höherer Ordnung (1)
- Ableitungsfreie Optimierung (1)
- Abstract linear systems theory (1)
- Adjazenz-Beziehungen (1)
- Adjoint system (1)
- Advanced Encryption Standard (1)
- Aggregation (1)
- Algebraic Geometry (1)
- Algebraic geometry (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)
- Asiatische Option (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)
- B-Spline (1)
- Banach lattice (1)
- Barriers (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)
- Bernstejn-Polynom (1)
- Beschichtungsprozess (1)
- Beschränkte Krümmung (1)
- Bessel functions (1)
- Betrachtung des Schlimmstmöglichen Falles (1)
- Betriebsfestigkeit (1)
- Bildsegmentierung (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)
- 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 analysis (1)
- Change analysis, nonparametric regression, nonlinear regression, autoregressive time series, sequential test, integer-valued time series (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)
- Coarse graining (1)
- Cohen-Lenstra heuristic (1)
- Collision Operator (1)
- Collocation Method plus (1)
- Commodity Index (1)
- Competitive Analysis (1)
- Complexity (1)
- Complexity and performance of numerical algorithms (1)
- Computer Algebra (1)
- Computer algebra (1)
- Conditional Value-at-Risk (1)
- Consistencyanalysis (1)
- Consistent Price Processes (1)
- Construction of hypersurfaces (1)
- Container (1)
- Continuum mechanics (1)
- Convex Analysis (1)
- Convex geometry (1)
- Convex sets (1)
- Convexity (1)
- Copula (1)
- Core (1)
- Cosine function (1)
- Coupled PDEs (1)
- Coxeter groups (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)
- 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)
- Delaunay (1)
- Delaunay triangulation (1)
- Delaunay triangulierung (1)
- Dense gas (1)
- Derivatives (1)
- Didaktik (1)
- Differential Cross-Sections (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 Fourier-Transformation (1)
- Diskrete Mathematik (1)
- Dispersionsrelation (1)
- Dissertation (1)
- Domain Decomposition (1)
- Doppelbarriereoption (1)
- Double Barrier Option (1)
- Druckkorrektur (1)
- Dynamic Network Flow Problem (1)
- Dynamic Network Flows (1)
- Dynamic cut (1)
- Dynamische Systeme (1)
- Dynamische Topographie (1)
- Dynasys (1)
- Dünnfilmapproximation (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)
- Effizienter Algorithmus (1)
- Effizienz (1)
- Eigenschwingung (1)
- Eikonal equation (1)
- Elastoplastic BVP (1)
- Elektromagnetische Streuung (1)
- Eliminationsverfahren (1)
- Elliptic-parabolic equation (1)
- Elliptische Verteilung (1)
- Elliptisches Randwertproblem (1)
- Endliche Gruppe (1)
- Endliche Lie-Gruppe (1)
- Enskog equation (1)
- Entscheidungsbaum (1)
- Entscheidungsunterstützung (1)
- Enumerative Geometrie (1)
- Erdöl Prospektierung (1)
- Ergodic, Binary, Time Series, Exogenous (1)
- Erwartungswert-Varianz-Ansatz (1)
- Euler's equation of motion (1)
- Evacuation Planning (1)
- Evolution Equations (1)
- Evolutionary Integral Equations (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)
- FFT (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-Wechselwirkung (1)
- Foam decay (1)
- Fokker-Planck equation (1)
- Fokker-Planck-Gleichung (1)
- Forbidden Regions (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)
- Garbentheorie (1)
- Gauge Distances (1)
- Gauss-Manin connection (1)
- Gaussian random noise (1)
- Gebietszerlegung (1)
- Gebietszerlegungsmethode (1)
- Gebogener viskoser Faden (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)
- Granular flow (1)
- Granulat (1)
- Graph Theory (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)
- Hierarchische Matrix (1)
- Higher Order Differentials as Boundary Data (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)
- Hyperelliptische Kurve (1)
- Hyperflächensingularität (1)
- Hyperspektraler Sensor (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)
- Industrial Applications (1)
- Inflation (1)
- Information Theory (1)
- Infrarotspektroskopie (1)
- Injectivity of mappings (1)
- Injektivität von Abbildungen (1)
- Inkompressibel Navier-Stokes (1)
- Inkorrekt gestelltes Problem (1)
- Integer-valued time series (1)
- Integral (1)
- Integral Equations (1)
- Integral transform (1)
- Integration (1)
- Intensity modulated radiation therapy (1)
- Intensität (1)
- Interdisziplinärer Projektunterricht (1)
- Internationale Diversifikation (1)
- Inverse Problems (1)
- Inverse problems in Banach spaces (1)
- Irreduzibler Charakter (1)
- Isogeometrische Analyse (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)
- Lebesque-Integral (1)
- Legendre Wavelets (1)
- Lehrmittel (1)
- Level set methods (1)
- Level sets (1)
- Levy process (1)
- Lexicographic Order (1)
- Lexicographic max-ordering (1)
- Lie-Typ-Gruppe (1)
- Linear Integral Equations (1)
- Linear kinematic hardening (1)
- Linear kinematische Verfestigung (1)
- Linear membership function (1)
- Lineare Integralgleichung (1)
- Lineare partielle Differentialgleichung (1)
- Lippmann-Schwinger equation (1)
- Liquidität (1)
- Local completeness (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)
- MLC (1)
- MLE (1)
- MOCO (1)
- Macaulay’s inverse system (1)
- Machine Scheduling (1)
- Magnetoelastic coupling (1)
- Magnetoelasticity (1)
- Magnetostriction (1)
- Marangoni-Effekt (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)
- Massendichte (1)
- Math-Talent-School (1)
- Mathematical Finance (1)
- Mathematik (1)
- Mathematische Modellierung, MINT, Schule, Lehrkräfte, Evakuierung, Zellulärer Automat, Simulation (1)
- Mathematische Modellierung, Simulation, Tabellenkalkulation, Schule (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-Vermutung (1)
- Medical Physics (1)
- Mehrdimensionale Bildverarbeitung (1)
- Mehrdimensionale Spline-Funktion (1)
- Mehrdimensionales Variationsproblem (1)
- Mehrskalen (1)
- Methode der Fundamentallösungen (1)
- Mie representation (1)
- Mie- and Helmholtz-Representation (1)
- Mie- und Helmholtz-Darstellung (1)
- Mie-Darstellung (1)
- Mie-Representation (1)
- Mikroelektronik (1)
- Mikrostruktur (1)
- Minimal spannender Baum (1)
- Minimum Cost Network Flow Problem (1)
- Minimum Principle (1)
- Minkowski space (1)
- Mixed integer programming (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)
- Monte-Carlo-Simulation (1)
- Moreau-Yosida regularization (1)
- Morphismus (1)
- Mosaike (1)
- Mosco convergence (1)
- Motion Capturing (1)
- Multi Primary and One Second Particle Method (1)
- Multi-Asset Option (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 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)
- 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 time series analysis (1)
- Nonlinear/large deformations (1)
- Nonparametric AR-ARCH (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)
- 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)
- 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)
- Portfolio Optimierung (1)
- Portfoliooptimierung (1)
- Potential transform (1)
- Preimage of an ideal under a morphism of algebras (1)
- Project prioritization (1)
- Project selection (1)
- Projektionsoperator (1)
- Projektive Fläche (1)
- Prox-Regularisierung (1)
- Pseudopolynomial-Time Algorithm (1)
- Punktmengen (1)
- Punktprozess (1)
- QMC (1)
- QVIs (1)
- Quadratischer Raum (1)
- Quantile autoregression (1)
- Quasi-Variational Inequalities (1)
- Quasi-identities (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 number generation (1)
- Randwertproblem (1)
- Rank test (1)
- Rarefied Gas Flows (1)
- Rarefied Gsa Dynamics (1)
- Rarefied Polyatomic Gases (1)
- Rarefied gas (1)
- Rate-independency (1)
- Ray-Knight Theorem (1)
- Rayleigh Number (1)
- Rectifiability (1)
- Recurrent Networks (1)
- Recurrent neural networks (1)
- Reflection (1)
- Reflexionsspektroskopie (1)
- Regime Shifts (1)
- Regime-Shift Modell (1)
- Regressionsanalyse (1)
- Regularisierung / Stoppkriterium (1)
- Regularization / Stop criterion (1)
- Regularization Wavelets (1)
- Regularization methods (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)
- Risikomanagement (1)
- Risikomaße (1)
- Risikotheorie (1)
- Risk Measures (1)
- Robust smoothing (1)
- Rohstoffhandel (1)
- Rohstoffindex (1)
- Räumliche Statistik (1)
- SAW filters (1)
- SGG (1)
- SPn-approximation (1)
- SST (1)
- SWARM (1)
- Saddle Points (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)
- Scheduling (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)
- Semigroups (1)
- Sensitivitäten (1)
- Sequenzieller Algorithmus (1)
- Serre functor (1)
- Shallow Water Equations (1)
- Shannon capacity (1)
- Shannon optimal priors (1)
- Shannon-Capacity (1)
- Shape optimization, gradient based optimization, adjoint method (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)
- Spannungs-Dehn (1)
- Spatial Statistics (1)
- Spectral Analysis (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)
- Statistisches Modell (1)
- Steuer (1)
- Stieltjes transform (1)
- Stochastic Impulse Control (1)
- Stochastic Processes (1)
- Stochastic Volatility (1)
- Stochastische Inhomogenitäten (1)
- Stochastische Processe (1)
- Stochastische Volatilität (1)
- Stochastische Zinsen (1)
- Stochastische optimale Kontrolle (1)
- Stochastischer Prozess (1)
- Stochastisches Feld (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)
- Stoßdämpfer (1)
- Strahlentherapie (1)
- Strahlungstransport (1)
- Strain-Life Approach (1)
- Stratifaltigkeiten (1)
- Structure Theory (1)
- Strukturiertes Finanzprodukt (1)
- Strukturoptimierung (1)
- Strömungsdynamik (1)
- Strömungsmechanik (1)
- Success Run (1)
- Survival Analysis (1)
- Synthesizer (1)
- Systemidentifikation (1)
- Sägezahneffekt (1)
- TDTSP (1)
- TSP (1)
- Tableau-Kalkül (1)
- Tail Dependence Koeffizient (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-Series (1)
- Time-Space Multiresolution Analysis (1)
- Time-delay-Netz (1)
- Timetabling; Scheduling; Graph coloring; Hierarchies; Rehabilitation Clinics (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-phase flow (1)
- Uniform matroids (1)
- Universal objective function (1)
- Unreinheitsfunktion (1)
- Unschärferelation (1)
- Untermannigfaltigkeit (1)
- Upwind-Verfahren (1)
- Usage modeling (1)
- Utility (1)
- Value at Risk (1)
- Van Neumann-Kakutani transformation (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)
- Vetor optimization (1)
- Vigenere (1)
- Viskoelastische Flüssigkeiten (1)
- Viskose Transportschemata (1)
- Volatilitätsarbitrage (1)
- Vollständigkeit (1)
- Vorkonditionierer (1)
- Vorlesungsskript (1)
- Voronoi diagram (1)
- Vorwärts-Rückwärts-Stochastische-Differentialgleichung (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)
- 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)
- abstract ODE (1)
- acid-mediated tumor invasion (1)
- activity-based model (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 function (1)
- archimedean copula (1)
- area loss (1)
- asian option (1)
- associated Legendre functions (1)
- asymptotic expansions (1)
- asymptotic preserving numerical scheme (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)
- charged fluids (1)
- chemotaxis (1)
- chemotherapy (1)
- classical solutions (1)
- clo (1)
- closure approximation (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)
- 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)
- domain decomposition methods (1)
- double exponential distribution (1)
- downward continuation (1)
- drift diffusion (1)
- drift-diffusion limit (1)
- durability (1)
- dynamic capillary pressure (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)
- 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 pointset method (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)
- 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)
- 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)
- 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)
- 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)
- 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 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)
- intensity modulated radiation therapy, multileaf collimator sequencing, field splitting, beam-on time, decomposition cardinality (1)
- intensity modulated radiation therapy, multileaf collimator sequencing, � eld splitting, beam-on time, decomposition cardinality (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)
- iterative bandwidth choice (1)
- jump diffusion (1)
- jump-diffusion process (1)
- junction (1)
- k-cardinality minimum cut (1)
- k-max (1)
- kardinalzahl (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)
- limes (1)
- limit models (1)
- limit theorems (1)
- linear code (1)
- linear programming (1)
- linear transport equation (1)
- local approximation of sea surface topography (1)
- local bandwidths (1)
- local existence, uniqueness (1)
- local multiscale (1)
- local orientation (1)
- local search algorithm (1)
- local stationarity (1)
- local support (1)
- local trigonometric packets (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)
- low discrepancy (1)
- low-rank approximation (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)
- 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-free method (1)
- method of fundamental solutions (1)
- micromechanics (1)
- minimal paths (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)
- 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 model, acid-mediated tumor invasion, reaction-diffusion equations, random differential equations (1)
- multiscale modeling (1)
- multiscale models (1)
- multivariate chi-square-test (1)
- mutiresolution (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-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 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 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 flow (1)
- porous media flow (1)
- portfolio (1)
- portfolio decision (1)
- portfolio optimisation (1)
- portfolio-optimization (1)
- poröse Medien (1)
- positivity preserving time integration (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)
- pseudospectral methods (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)
- redundant constraint (1)
- reference prior (1)
- reflectionless boundary condition (1)
- reflexionslose Randbedingung (1)
- refraction (1)
- regime-shift model (1)
- regression analysis (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)
- 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 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)
- 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)
- 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)
- 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)
- 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)
- value preserving portfolios (1)
- value semigroup (1)
- value-at-risk (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
- Fachbereich Mathematik (1056)
- Fraunhofer (ITWM) (2)
Destructive diseases of the lung like lung cancer or fibrosis are still often lethal. Also in case of fibrosis in the liver, the only possible cure is transplantation.
In this thesis, we investigate 3D micro computed synchrotron radiation (SR\( \mu \)CT) images of capillary blood vessels in mouse lungs and livers. The specimen show so-called compensatory lung growth as well as different states of pulmonary and hepatic fibrosis.
During compensatory lung growth, after resecting part of the lung, the remaining part compensates for this loss by extending into the empty space. This process is accompanied by an active vessel growing.
In general, the human lung can not compensate for such a loss. Thus, understanding this process in mice is important to improve treatment options in case of diseases like lung cancer.
In case of fibrosis, the formation of scars within the organ's tissue forces the capillary vessels to grow to ensure blood supply.
Thus, the process of fibrosis as well as compensatory lung growth can be accessed by considering the capillary architecture.
As preparation of 2D microscopic images is faster, easier, and cheaper compared to SR\( \mu \)CT images, they currently form the basis of medical investigation. Yet, characteristics like direction and shape of objects can only properly be analyzed using 3D imaging techniques. Hence, analyzing SR\( \mu \)CT data provides valuable additional information.
For the fibrotic specimen, we apply image analysis methods well-known from material science. We measure the vessel diameter using the granulometry distribution function and describe the inter-vessel distance by the spherical contact distribution. Moreover, we estimate the directional distribution of the capillary structure. All features turn out to be useful to characterize fibrosis based on the deformation of capillary vessels.
It is already known that the most efficient mechanism of vessel growing forms small torus-shaped holes within the capillary structure, so-called intussusceptive pillars. Analyzing their location and number strongly contributes to the characterization of vessel growing. Hence, for all three applications, this is of great interest. This thesis provides the first algorithm to detect intussusceptive pillars in SR\( \mu \)CT images. After segmentation of raw image data, our algorithm works automatically and allows for a quantitative evaluation of a large amount of data.
The analysis of SR\( \mu \)CT data using our pillar algorithm as well as the granulometry, spherical contact distribution, and directional analysis extends the current state-of-the-art in medical studies. Although it is not possible to replace certain 3D features by 2D features without losing information, our results could be used to examine 2D features approximating the 3D findings reasonably well.
Magnetoelastic coupling describes the mutual dependence of the elastic and magnetic fields and can be observed in certain types of materials, among which are the so-called "magnetostrictive materials". They belong to the large class of "smart materials", which change their shape, dimensions or material properties under the influence of an external field. The mechanical strain or deformation a material experiences due to an externally applied magnetic field is referred to as magnetostriction; the reciprocal effect, i.e. the change of the magnetization of a body subjected to mechanical stress is called inverse magnetostriction. The coupling of mechanical and electromagnetic fields is particularly observed in "giant magnetostrictive materials", alloys of ferromagnetic materials that can exhibit several thousand times greater magnitudes of magnetostriction (measured as the ratio of the change in length of the material to its original length) than the common magnetostrictive materials. These materials have wide applications areas: They are used as variable-stiffness devices, as sensors and actuators in mechanical systems or as artificial muscles. Possible application fields also include robotics, vibration control, hydraulics and sonar systems.
Although the computational treatment of coupled problems has seen great advances over the last decade, the underlying problem structure is often not fully understood nor taken into account when using black box simulation codes. A thorough analysis of the properties of coupled systems is thus an important task.
The thesis focuses on the mathematical modeling and analysis of the coupling effects in magnetostrictive materials. Under the assumption of linear and reversible material behavior with no magnetic hysteresis effects, a coupled magnetoelastic problem is set up using two different approaches: the magnetic scalar potential and vector potential formulations. On the basis of a minimum energy principle, a system of partial differential equations is derived and analyzed for both approaches. While the scalar potential model involves only stationary elastic and magnetic fields, the model using the magnetic vector potential accounts for different settings such as the eddy current approximation or the full Maxwell system in the frequency domain.
The distinctive feature of this work is the analysis of the obtained coupled magnetoelastic problems with regard to their structure, strong and weak formulations, the corresponding function spaces and the existence and uniqueness of the solutions. We show that the model based on the magnetic scalar potential constitutes a coupled saddle point problem with a penalty term. The main focus in proving the unique solvability of this problem lies on the verification of an inf-sup condition in the continuous and discrete cases. Furthermore, we discuss the impact of the reformulation of the coupled constitutive equations on the structure of the coupled problem and show that in contrast to the scalar potential approach, the vector potential formulation yields a symmetric system of PDEs. The dependence of the problem structure on the chosen formulation of the constitutive equations arises from the distinction of the energy and coenergy terms in the Lagrangian of the system. While certain combinations of the elastic and magnetic variables lead to a coupled magnetoelastic energy function yielding a symmetric problem, the use of their dual variables results in a coupled coenergy function for which a mixed problem is obtained.
The presented models are supplemented with numerical simulations carried out with MATLAB for different examples including a 1D Euler-Bernoulli beam under magnetic influence and a 2D magnetostrictive plate in the state of plane stress. The simulations are based on material data of Terfenol-D, a giant magnetostrictive materials used in many industrial applications.
In this thesis, we deal with the worst-case portfolio optimization problem occuring in discrete-time markets.
First, we consider the discrete-time market model in the presence of crash threats. We construct the discrete worst-case optimal portfolio strategy by the indifference principle in the case of the logarithmic utility. After that we extend this problem to general utility functions and derive the discrete worst-case optimal portfolio processes, which are characterized by a dynamic programming equation. Furthermore, the convergence of the discrete worst-case optimal portfolio processes are investigated when we deal with the explicit utility functions.
In order to further study the relation of the worst-case optimal value function in discrete-time models to continuous-time models we establish the finite-difference approach. By deriving the discrete HJB equation we verify the worst-case optimal value function in discrete-time models, which satisfies a system of dynamic programming inequalities. With increasing degree of fineness of the time discretization, the convergence of the worst-case value function in discrete-time models to that in continuous-time models are proved by using a viscosity solution method.
In this thesis we consider the directional analysis of stationary point processes. We focus on three non-parametric methods based on second order analysis which we have defined as Integral method, Ellipsoid method, and Projection method. We present the methods in a general setting and then focus on their application in the 2D and 3D case of a particular type of anisotropy mechanism called geometric anisotropy. We mainly consider regular point patterns motivated by our application to real 3D data coming from glaciology. Note that directional analysis of 3D data is not so prominent in the literature.
We compare the performance of the methods, which depends on the relative parameters, in a simulation study both in 2D and 3D. Based on the results we give recommendations on how to choose the methods´ parameters in practice.
We apply the directional analysis to the 3D data coming from glaciology, which consist in the locations of air-bubbles in polar ice cores. The aim of this study is to provide information about the deformation rate in the ice and the corresponding thinning of ice layers at different depths. This information is substantial for the glaciologists in order to build ice dating models and consequently to give a correct interpretation of the climate information which can be found by analyzing ice cores. In this thesis we consider data coming from three different ice cores: the Talos Dome core, the EDML core and the Renland core.
Motivated by the ice application, we study how isotropic and stationary noise influences the directional analysis. In fact, due to the relaxation of the ice after drilling, noise bubbles can form within the ice samples. In this context we take two classification algorithms into consideration, which aim to classify points in a superposition of a regular isotropic and stationary point process with Poisson noise.
We introduce two methods to visualize anisotropy, which are particularly useful in 3D and apply them to the ice data. Finally, we consider the problem of testing anisotropy and the limiting behavior of the geometric anisotropy transform.
Many loads acting on a vehicle depend on the condition and quality of roads
traveled as well as on the driving style of the motorist. Thus, during vehicle development,
good knowledge on these further operations conditions is advantageous.
For that purpose, usage models for different kinds of vehicles are considered. Based
on these mathematical descriptions, representative routes for multiple user
types can be simulated in a predefined geographical region. The obtained individual
driving schedules consist of coordinates of starting and target points and can
thus be routed on the true road network. Additionally, different factors, like the
topography, can be evaluated along the track.
Available statistics resulting from travel survey are integrated to guarantee reasonable
trip length. Population figures are used to estimate the number of vehicles in
contained administrative units. The creation of thousands of those geo-referenced
trips then allows the determination of realistic measures of the durability loads.
Private as well as commercial use of vehicles is modeled. For the former, commuters
are modeled as the main user group conducting daily drives to work and
additional leisure time a shopping trip during workweek. For the latter, taxis as
example for users of passenger cars are considered. The model of light-duty commercial
vehicles is split into two types of driving patterns, stars and tours, and in
the common traffic classes of long-distance, local and city traffic.
Algorithms to simulate reasonable target points based on geographical and statistical
data are presented in detail. Examples for the evaluation of routes based
on topographical factors and speed profiles comparing the influence of the driving
style are included.
Wir zeigen an einigen Beispielen, wie man numerische Simulationen in Tabellenkalkulationsprogrammen (hier speziell in Excel) erzeugen kann. Diese können beispielsweise im Kontext von mathematischer Modellierung verwendet werden.
Die Beispiele umfassen ein Modell zur Ausbreitung von Krankheiten, die Flugkurve eines Fußballs unter Berücksichtigung von Luftreibung, eine Monte-Carlo-Simulation zur experimentellen Bestimmung von pi, eine Monte-Carlo-Simulation eines gemischten Kartenstapels und die Modellierung von Benzinpreisen mit einem Preistrend und Rauschen
Die MINT-EC-Girls-Camp: Math-Talent-School ist eine vom Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM) initiierte Veranstaltung, die regelmäßig als Kooperation zwischen dem Felix-Klein-Zentrum für Mathematik und dem Verein mathematisch-naturwissenschaftlicher Excellence-Center an Schulen e.V. (Verein MINT-EC) durchgeführt wird. Die methodisch-didaktische Konzeption der Math-Talent-Schools erfolgt durch das Kompetenzzentrum für Mathematische Modellierung in MINT-Projekten in der Schule (KOMMS), einer wissenschaftlichen Einrichtung des Fachbereichs Mathematik der Technischen Universität Kaiserslautern. Die inhaltlich-organisatorische Ausführung übernimmt das Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM in enger Abstimmung und Kooperation von Wissenschaftlern der Technischen Universität und des Fraunhofer ITWM. Die MINT-EC-Girls-Camp: Math-Talent-School hat zum Ziel, Mathematik-interessierten Schülerinnen einen Einblick in die Arbeitswelt von Mathematikerinnen und Mathematikern zu geben. In diesem Artikel stellen wir die Math-Talent-School vor. Hierfür werden die fachlichen und fachdidaktischen Hintergründe der Projekte beleuchtet, der Ablauf der Veranstaltung erläutert und ein Fazit gezogen.
Dieser Beitrag beschreibt eine Lernumgebung für Schülerinnen und Schüler der Unter- und Mittelstufe mit einem Schwerpunkt im Fach Mathematik. Das Thema dieser Lernumgebung ist die Simulation von Entfluchtungsprozessen im Rahmen von Gebäudeevakuierungen. Dabei wird das Konzept eines zellulären Automaten vermittelt, ohne dabei Programmierkenntnisse vorauszusetzen oder anzuwenden. Anhand dieses speziellen Simulationswerkzeugs des zellulären Automaten werden Eigenschaften, Kenngrößen sowie Vor- und Nachteile von Simulationen im Allgemeinen thematisiert. Dazu gehören unter anderem die experimentelle Datengewinnung, die Festlegung von Modellparametern, die Diskretisierung des zeitlichen und räumlichen Betrachtungshorizonts sowie die zwangsläufig auftretenden (Diskretisierungs-)Fehler, die algorithmischen Abläufe einer Simulation in Form elementarer Handlungsanweisungen, die Speicherung und Visualisierung von Daten aus einer Simulation sowie die Interpretation und kritische Diskussion von Simulationsergebnissen. Die vorgestellte Lernumgebung ermöglicht etliche Variationen zu weiteren Aspekten des Themas „Evakuierungssimulation“ und bietet dadurch auch vielfältige Differenzierungsmöglichkeiten.