Parallel and Sequential Methods for Ordinary Differential Equations

ISBN-13: 9780198534327 / Angielski / Twarda / 1995 / 464 str.

Kevin Burrage

Opis

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.

Recenzje

...written at a level that should be accessible to most engineers and scientists familiar with numerical methods for ODEs and graduate, or senior undergraduate, students specializing in numerical computing. ... it is an ideal starting point for anyone interested in learning about parallel numerical methods for IVPs for ODEs as well as a valuable reference for established researchers in the area . . . Although several excellent books on numerical methods for IVPs for ODEs have appeared in the last few years, Burrage's monograph is unique in its breadth and depth of discussion of parallel methods for this class of problems. Ken Jackson, SIAM Review, Vol. 39 No. 2, June 1997