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, PartialNumerical solutions. ;
Numerisches Verfahren.(DE588)41281305 ;
Partielle Differentialgleichung.(DE588)40447790

Internet Access 

Holdings 
Library 
Call Number 
Additional Info 
Location 
Last Modified 
Checkout Status 
EJDM 
QA377.V65 

Env Science Center Library/Ft Meade,MD 
07/08/1994 

Collation 
xii, 128 p. illus. 24 cm. 
Notes 
Bibliography: p. 111112. 
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 bitridiagonal matrix  Appendix D: Algorithm for tritridiagonal matrix  Appendix E: General band algorithm  Appendix F: Conversion between general tridiagonal and band forms. 