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Methods for the numerical solution of partial differential equations

Author: Dale U Von Rosenberg
Publisher: New York : American Elsevier Pub. Co., 1969.
Series: Modern analytic and computational methods in science and mathematics, v. 16.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This postgraduate text describes methods which can be used to solve physical and chemical problems on a digital computer. The methods are described on simple, physical problems with which the student is familiar, and then extended to more complex ones. Emphasis is placed on the use of discrete grid points, the representation of derivatives by finite difference ratios, and the consequent replacement of the  Read more...
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Additional Physical Format: Online version:
Von Rosenberg, Dale U., 1928-
Methods for the numerical solution of partial differential equations.
New York, American Elsevier Pub. Co., 1969
(OCoLC)707687520
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Dale U Von Rosenberg
ISBN: 0444000496 9780444000491
OCLC Number: 528158
Notes: Includes indexes.
Description: xii, 128 pages : illustrations ; 24 cm.
Contents: Linear ordinary differential equations --
Linear parabolic partial differential equations --
Linear hyperbolic partial differential equations --
Alternate forms of coefficient matrices --
Nonlinear parabolic equations --
Nonlinear hyperbolic equations --
Nonlinear boundary conditions --
Elliptic equations and parabolic equations in two and three space dimensions --
Other types of equations --
Appendix A: Thomas algorithm for tridiagonal matrix --
Appendix B: Algorithm for pentadiagonal matrix --
Appendix C: Algorithm for bi-tridiagonal matrix --
Appendix D: Algorithm for tri-tridiagonal matrix --
Appendix E: General band algorithm --
Appendix F: Conversion between general tridiagonal and band forms.
Series Title: Modern analytic and computational methods in science and mathematics, v. 16.
Responsibility: by Dale U. von Rosenberg.

Abstract:

This postgraduate text describes methods which can be used to solve physical and chemical problems on a digital computer. The methods are described on simple, physical problems with which the student is familiar, and then extended to more complex ones. Emphasis is placed on the use of discrete grid points, the representation of derivatives by finite difference ratios, and the consequent replacement of the differential equations by a set of finite difference equations. Efficient methods for the solution of the resulting set of equations are given, and five solution algorithms are presented in the book.

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