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9789056990190

Group Explicit Methods for the Numerical Solution of Partial Differential Equations

by ;
  • ISBN13:

    9789056990190

  • ISBN10:

    9056990195

  • Format: Hardcover
  • Copyright: 1997-05-22
  • Publisher: CRC Press

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Summary

A new class of methods, termed "group explicit methods," is introduced in this text. Their applications to solve parabolic, hyperbolic and elliptic equations are outlined, and the advantages for their implementation on parallel computers clearly portrayed. Also included are the introductory and fundamental concepts from which the new methods are derived, and on which they are dependent. With the increasing advent of parallel computing into all aspects of computational mathematics, there is no doubt that the new methods will be widely used.

Table of Contents

Numerical Solution of Partial Differential Equations by Finite Difference Methods
Group Explicit Methods for Parabolic Equations
The Alternating Group Explicit (AGE) Method for Parabolic Equations
The AGE Method for Multidimensional Partial Differential Equations
Parallel Implementation of the Alternating Group Explicit (AGE) Method
Group Explicit Methods for Hyperbolic Equations
The Alternating Group Explicit (AGE) Method for Elliptic Boundary Value Problems
Table of Contents provided by Publisher. All Rights Reserved.

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