Buch, Englisch, Band 22, 181 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 318 g
Reihe: Lecture Notes in Computational Science and Engineering
Problem Adapted Construction and Applications
Buch, Englisch, Band 22, 181 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 318 g
Reihe: Lecture Notes in Computational Science and Engineering
ISBN: 978-3-540-43055-1
Verlag: Springer Berlin Heidelberg
Sapere aude! Immanuel Kant (1724-1804) Numerical simulations playa key role in many areas of modern science and technology. They are necessary in particular when experiments for the underlying problem are too dangerous, too expensive or not even possible. The latter situation appears for example when relevant length scales are below the observation level. Moreover, numerical simulations are needed to control complex processes and systems. In all these cases the relevant problems may become highly complex. Hence the following issues are of vital importance for a numerical simulation: - Efficiency of the numerical solvers: Efficient and fast numerical schemes are the basis for a simulation of 'real world' problems. This becomes even more important for realtime problems where the runtime of the numerical simulation has to be of the order of the time span required by the simulated process. Without efficient solution methods the simulation of many problems is not feasible. 'Efficient' means here that the overall cost of the numerical scheme remains proportional to the degrees of freedom, i. e., the numerical approximation is determined in linear time when the problem size grows e. g. to upgrade accuracy. Of course, as soon as the solution of large systems of equations is involved this requirement is very demanding.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
- Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
- Technische Wissenschaften Technik Allgemein Modellierung & Simulation
Weitere Infos & Material
1 Wavelet Bases.- 1.1 Wavelet Bases in L2(?).- 1.2 Wavelets on the Real Line.- 1.4 Tensor Product Wavelets.- 1.5 Wavelets on General Domains.- 1.6 Vector Wavelets.- 2 Wavelet Bases for H(div) and H(curl).- 2.1 Differentiation and Integration.- 2.2 The Spaces H(div) and H (curl).- 2.3 Wavelet Systems for H (curl).- 2.4 Wavelet Bases for H(div).- 2.5 Helmholtz and Hodge Decompositions.- 2.6 General Domains.- 2.7 Examples.- 3 Applications.- 3.1 Robust and Optimal Preconditioning.- 3.2 Analysis and Simulation of Turbulent Flows.- 3.3 Hardening of an Elastoplastic Rod.- References.- List of Figures.- List of Tables.- List of Symbols.
