Introduction to partial differential equations
a computational approach
Corr. 2nd print.
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Author
Contributions
- Winther, Ragnar. - Contributor
Publication
2005 - Springer, Berlin, Germany
Language
English
Word Count
98,000 words, Guess
Page Count
392 pages
Identifiers
- Internet Archiveintroductiontopa00tvei_399
- Internet Archiveintroductiontopa00tvei_430
- Internet Archiveintroductiontopa00tvei_757
- ISBN-10354022551X
- ISBN-139783540225515
and 5 more
- Goodreads3916235
- Library of Congress Control Number2004111961
- OCLC Control Number57402667
- Better World Books9783540225515
- Open LibraryOL3316017M
Classifications
- DDC515/.353
- LCCQA377 .T9 2005
- LCCQA299.6-433
Description
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.
Subjects
Series Statement
- Texts in applied mathematics ;
- 29
Other Editions
- Introduction to partial differential equations
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