| 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 |
|
| 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. 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. |
| Place Published |
New York, |
| Title Ser Add Ent |
Modern analytic and computational methods in science and mathematics ; |
| PUB Date Free Form |
1969. |
| Series Title Untraced |
Modern analytic and computational methods in science and mathematics, |
| BIB Level |
m |
| Cataloging Source |
OCLC/T |
| LCCN |
69013069 //r882 |
| Merged OCLC records |
4310493; 8145716 |
| OCLC Time Stamp |
19950119151801 |
| Language |
ENG |
| Origin |
OCLC |
| Type |
CAT |
| OCLC Rec Leader |
00942cam 22002531 45010 |
