Overview
- Authors:
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Gerhard Zumbusch
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TU München, Deutschland
Konrad-Zuse-Zentrum für Informationstechnik Berlin, Deutschland
FU Berlin, Deutschland
SINTEF Anvendt Matematikk Oslo, Norway
Universität Bonn, Deutschland
Wissenschaftliches Rechnen/Numerische Mathematik, Friedrich-Schiller-Universität Jena, Deutschland
Instituts für Angewandte Mathematik, Deutschland
- Paralleles Rechnen - Mehrgitterverfahren und Adaptive Gitterverfeinerung
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Table of contents (7 chapters)
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Back Matter
Pages 197-216
About this book
Numerical simulation promises new insight in science and engineering. In ad dition to the traditional ways to perform research in science, that is laboratory experiments and theoretical work, a third way is being established: numerical simulation. It is based on both mathematical models and experiments con ducted on a computer. The discipline of scientific computing combines all aspects of numerical simulation. The typical approach in scientific computing includes modelling, numerics and simulation, see Figure l. Quite a lot of phenomena in science and engineering can be modelled by partial differential equations (PDEs). In order to produce accurate results, complex models and high resolution simulations are needed. While it is easy to increase the precision of a simulation, the computational cost of doing so is often prohibitive. Highly efficient simulation methods are needed to overcome this problem. This includes three building blocks for computational efficiency, discretisation, solver and computer. Adaptive mesh refinement, high order and sparse grid methods lead to discretisations of partial differential equations with a low number of degrees of freedom. Multilevel iterative solvers decrease the amount of work per degree of freedom for the solution of discretised equation systems. Massively parallel computers increase the computational power available for a single simulation.
Authors and Affiliations
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TU München, Deutschland
Gerhard Zumbusch
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Konrad-Zuse-Zentrum für Informationstechnik Berlin, Deutschland
Gerhard Zumbusch
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FU Berlin, Deutschland
Gerhard Zumbusch
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SINTEF Anvendt Matematikk Oslo, Norway
Gerhard Zumbusch
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Universität Bonn, Deutschland
Gerhard Zumbusch
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Wissenschaftliches Rechnen/Numerische Mathematik, Friedrich-Schiller-Universität Jena, Deutschland
Gerhard Zumbusch
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Instituts für Angewandte Mathematik, Deutschland
Gerhard Zumbusch
About the author
Prof. Dr. Gerhard Zumbusch, Universität Jena