An introduction to the numerical analysis of spectral methods
Author(s)
Bibliographic Information
An introduction to the numerical analysis of spectral methods
（Lecture notes in physics, 318）
Springer-Verlag, c1989
- : Berlin
- : New York
- Other Title
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Analyse numérique des méthodes spectrales
Available at / 42 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNP||31891025970
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:530.1/M5362070137610
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Note
Bibliography: p. [153]-154
Description and Table of Contents
Description
This is a very lucid introduction to spectral methods emphasizing the mathematical aspects of the theory rather than the many applications in numerical analysis and the engineering sciences. The first part is a fairly complete introduction to Fourier series while the second emphasizes polynomial expansion methods like Chebyshev's. The author gives rigorous proofs of fundamental results related to one-dimensional advection and diffusions equations. The book addresses students as well as practitioners of numerical analysis.
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