Parallel and Sequential Methods for Ordinary Differential Equations (Numerical Mathematics and Scientific and Computation Series)

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Overview

As scientific technology becomes increasingly more sophisticated, numerical analysts, mathematicians, and engineers have to solve larger and larger problems, necessitating the use of parallel computers. This book presents an up-to-date exposition of the current state of the art of numerical methods for solving ordinary equations in a parallel computing environment. Although the main focus is on problems of initial value type, boundary value problems and partial differentiation equations are also covered. Other chapters are devoted to the parallel solution of linear systems of equation, existing sequential differential equation methods, and the behavior of a parallel code based on wave relaxation.

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Product Details

Meet the Author

University of Queensland, Brisbane
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Table of Contents

List of symbols
1 Aspects of parallel computing 1
2 An introduction to sequential ODE methods 28
3 Order and stability - a general framework 62
4 Parallel linear algebra 115
5 Direct methods for ODES 165
6 Diverse approaches to parallelism 231
7 Waveform relaxation techniques 276
8 Discrete waveform methods 336
9 Implementation of waveform algorithms 373
References 404
Index 440
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