ENGLISH

Spectral Methods for Time-Dependent Problems

By Jan S. Hesthaven , David Gottlieb , Professor Sigal Gottlieb

Book information

Publisher
Cambridge University Press
Year
2007
ISBN
9780521792110, 0521792118
Language
english
Format
DJVU
Filesize
3 MB (2800782 bytes)
Series
Cambridge Monographs on Applied and Computational Mathematics
Pages
281\281
Time added
2014-10-05 02:30:00

Description

I bought this book to help me understand spectral methods enough to employ them for a nonlinear PDE problem that I have been working on. I sure am glad that I did! Here is a very complete and readable account of both the theoretical underpinnings and practical aspects of spectral methods. Spectral methods offer a fantastic alternative to classical approachs for numerical solutions of PDEs (such as finite-difference). In many ways, they are vastly superior - in terms of both accuracy and computational speed. What really makes this book so nice is that very little background is assumed (a little bit of mathematical analysis and some background in numerical analysis would help) and it is very straightforward to code up (I used Matlab) the examples sprinkled throughout the text. I also liked the fact that it is short and direct-at only 273 pages and cleanly partitioned into 12 chapters which expertly guide the reader from fundamentals up through advanced topics - it is quickly digestible and useable for practical applications! As an added bonus, an annotated bibliography is provided at the end of each chapter.

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