An Introduction to the Numerical Analysis of Spectral Methods [electronic resource] / by Bertrand Mercier.
Material type: TextSeries: Lecture Notes in Physics ; 318Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1989Description: V, 154 p. 1 illus. online resourceContent type:- text
- computer
- online resource
- 9783540461586
- 530.15 23
- QC5.53
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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