Record Display for the EPA National Library Catalog


Main Title Methods for the numerical solution of partial differential equations /
Author Von Rosenberg, Dale U.,
Publisher American Elsevier Pub. Co.,
Year Published 1969
OCLC Number 00528158
ISBN 0444000496; 9780444000491
Subjects Differential equations, Partial--Numerical solutions ; Numerisches Verfahren--(DE-588)4128130-5 ; Partielle Differentialgleichung--(DE-588)4044779-0
Internet Access
Description Access URL
Table of contents
Library Call Number Additional Info Location Last
EJDM  QA377.V65 Env Science Center Library/Ft Meade,MD 07/08/1994
Collation xii, 128 p. illus. 24 cm.
Bibliography: p. 111-112.
Contents Notes
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. 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.