ISBN-10:
0471276413
ISBN-13:
9780471276418
Pub. Date:
03/10/1980
Publisher:
Wiley
The Finite Difference Method in Partial Differential Equations / Edition 1

The Finite Difference Method in Partial Differential Equations / Edition 1

by A. R. Mitchell, D. F. Griffiths

Hardcover

Current price is , Original price is $205.0. You
Select a Purchase Option
  • purchase options

Overview

The Finite Difference Method in Partial Differential Equations / Edition 1

Extensively revised edition of Computational Methods in Partial Differential Equations. A more general approach has been adopted for the splitting of operators for parabolic and hyperbolic equations to include Richtmyer and Strang type splittings in addition to alternating direction implicit and locally one dimensional methods. A description of the now standard factorization and SOR/ADI iterative techniques for solving elliptic difference equations has been supplemented with an account or preconditioned conjugate gradient methods which are currently gaining in popularity. Prominence is also given to the Galerkin method using different test and trial functions as a means of constructing difference approximations to both elliptic and time dependent problems. The applications of finite difference methods have been revised and contain examples involving the treatment of singularities in elliptic equations, free and moving boundary problems, as well as modern developments in computational fluid dynamics. Emphasis throughout is on clear exposition of the construction and solution of difference equations. Material is reinforced with theoretical results when appropriate.

Product Details

ISBN-13: 9780471276418
Publisher: Wiley
Publication date: 03/10/1980
Pages: 284
Product dimensions: 6.20(w) x 9.32(h) x 0.86(d)

Table of Contents

Basic Linear Algebra.

Parobolic Equations.

Elliptic Equations.

Hyperbolic Equations.

The Galerkin Method.

Applications.

References.

Index.

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews