Parallel and Sequential Methods for Ordinary Differential Equations

by Kevin Burrage

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
Publication date:	09/14/1995
Series:	Numerical Mathematics and Scientific Computation
Pages:	462
Product dimensions:	9.00(w) x 6.00(h) x 1.19(d)

About the Author

University of Queensland, Brisbane

Table of Contents

1. Aspects of parallel computing2. An introduction to sequential ODE methods3. Order and stability - a general framework4. Parallel linear algebra5. Direct methods for ODEs6. Diverse approaches to parallelism7. Waveform relaxation techniques8. Discrete waveform methods9. Implementation of waveform algorithmsList of symbolsReferences

Editorial Reviews

"This excellent reference book is the first to attempt to survey the full range of methods for the parallel solution of ordinary differential equations....a must for all researchers in the numerical ODE community and for all scientists and engineers involved in the parallel solution of evolutionary problems modeled by differential equations. I recommend it highly."—Computing Reviews

"Useful for many scientists working with large-scale problems arising after the discretization of different mathematical models as well as for numerical analysts working in the area of numerical solution of systems of ordinary differential equations."—Mathematical Reviews

From the Publisher