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

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

by Kevin Burrage
     
 

ISBN-10: 0198534329

ISBN-13: 9780198534327

Pub. Date: 04/28/1997

Publisher: Oxford University Press, USA

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.

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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.

Product Details

ISBN-13:
9780198534327
Publisher:
Oxford University Press, USA
Publication date:
04/28/1997
Series:
Numerical Mathematics and Scientific Computation Series
Pages:
464
Product dimensions:
6.38(w) x 9.50(h) x 1.16(d)

Table of Contents

1. Aspects of parallel computing
2. An introduction to sequential ODE methods
3. Order and stability - a general framework
4. Parallel linear algebra
5. Direct methods for ODEs
6. Diverse approaches to parallelism
7. Waveform relaxation techniques
8. Discrete waveform methods
9. Implementation of waveform algorithms
List of symbols
References

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