Introduction to partial differential equations
a computational approach
by Aslak Tveito
This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles, and energy estimates are included. Numerical methods are introduced in parallel to the classical theory.
The numerical experiments are used to illustrate properties of differential equations, and a theory for finite difference approximations is developed. The text would be suitable for advanced undergraduate and graduate courses in mathematics and engineering. Necessary prerequisites for this text are basic calculus and linear algebra. Some elementary knowledge of ordinary differential equations is also preferable.
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| Edition | Availability |
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1
Introduction to partial differential equations: a computational approach
2005, Springer
in English
- Corr. 2nd print.
354022551X 9783540225515
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Introduction to partial differential equations: a computational approach
1998, Springer
in English
0387983279 9780387983271
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Book Details
Edition Notes
Includes bibliographical references (p. [385]-387) and index.
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