TY - RPRT
A1 - Neunzert, H.
T1 - Mathematics as a Technology: Challenges for the next 10 Years
N2 - No doubt: Mathematics has become a technology in its own right, maybe even a key technology. Technology may be defined as the application of science to the problems of commerce and industry. And science? Science maybe defined as developing, testing and improving models for the prediction of system behavior; the language used to describe these models is mathematics and mathematics provides methods to evaluate these models. Here we are! Why has mathematics become a technology only recently? Since it got a tool, a tool to evaluate complex, "near to reality" models: Computer! The model may be quite old - Navier-Stokes equations describe flow behavior rather well, but to solve these equations for realistic geometry and higher Reynolds numbers with sufficient precision is even for powerful parallel computing a real challenge. Make the models as simple as possible, as complex as necessary - and then evaluate them with the help of efficient and reliable algorithms: These are genuine mathematical tasks.
T3 - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 68
KW - applied mathematics
KW - technology
KW - modelling
KW - simulation
KW - visualization
KW - optimization
KW - glass processing
KW - spinning processes
KW - fiber-fluid interaction
KW - tr
Y1 - 2004
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1588
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-13559
ER -