Time dependent problems and difference methods
Time dependent problems frequently pose challenges in areas of science and engineering dealing with numerical analysis, scientific computation, mathematical models, and most importantly - numerical experiments intended to analyze physical behavior and test design. Time Dependent Problems and Difference Methods addresses these various industrial considerations in a pragmatic and detailed manner, giving special attention to time dependent problems in its coverage of the derivation and analysis of…
Read More ↓Title Statements
- Full title :Time dependent problems and difference methods / Bertil Gustafsson, Heinz-Otto Kreiss, Joseph Oliger.
Summary
Time dependent problems frequently pose challenges in areas of science and engineering dealing with numerical analysis, scientific computation, mathematical models, and most importantly - numerical experiments intended to analyze physical behavior and test design. Time Dependent Problems and Difference Methods addresses these various industrial considerations in a pragmatic and detailed manner, giving special attention to time dependent problems in its coverage of the derivation and analysis of numerical methods for computational approximations to Partial Differential Equations (PDEs). The authors draw on their own interests and combined extensive experience in applied mathematics and computer science to bring about this practical and useful guide. They provide complete discussions of the pertinent theorems and back them up with examples and illustrations.
For physical scientists, engineers, or anyone who uses numerical experiments to test designs or to predict and investigate physical phenomena, this invaluable guide is destined to become a constant companion. Time Dependent Problems and Difference Methods is also extremely useful to numerical analysts, mathematical modelers, and graduate students of applied mathematics and scientific computations.
Edition Statements
- Publication Date:©1995.
Publication Statements
- Publisher(s):Wiley
- Place of Publication:New York
- Language:eng
- Publication Date:©1995.
Notes
"A Wiley-Interscience publication."
The Physical Object
- Description:xi, 642 pages : : illustrations ; : 25 cm
Edition Identifiers
- ISBN:0471507342, 9780471507345
- oclc:ocm31658915
- LC Classification:QA374
- Dewey Decimal:515/.353
Table of Contents
Part I. Problems with periodic solutions -- 1. Fourier series and trigonometric interpolation -- 2. Model equations -- 3. Higher order accuracy -- 4. Well-posed problems -- 5. Stability and convergence for numerical approximations of linear and nonlinear problems -- 6. Hyperbolic equations and numerical methods -- 7. Parabolic equations and numerical methods -- 8. Problems with discontinuous solutions -- Part II. Initial-boundary-value problems -- 9. The energy method for initial-boundary-value problems -- 10. The Laplace transform method for initial-boundary-value problems -- 11. The energy method for difference approximations -- 12. The Laplace transform method for difference approximations -- 13. The Laplace transform method for fully discrete approximations : normal mode analysis -- Appendix 1. Results from linear algebra -- Appendix 2. Laplace transform -- Appendix 3. Iterative methods.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Equations différentielles p-adiques: applications aux sommes exponentielles
Christol, Gilles
Computational methods in engineering and science: with applications to fluid dynamics and…
Nakamura, Shoichiro
Computational methods in engineering and science: with applications to fluid dynamics and…
Nakamura, Shoichiro
Methods for solving inverse problems in mathematical physics
Prilepko, Aleksey Ivanovich
Rate & Review