An introduction to the numerical analysis of spectral methods
著者
書誌事項
An introduction to the numerical analysis of spectral methods
（Lecture notes in physics, 318）
Springer-Verlag, c1989
- : Berlin
- : New York
- タイトル別名
-
Analyse numérique des méthodes spectrales
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注記
Bibliography: p. [153]-154
内容説明・目次
内容説明
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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