Title: An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)
Publisher: Springer
Publication Date: 2014
Language: English
ISBN 10: 3662137577
ISBN 13: 9783662137574
Binding: Soft cover
Condition: New

About this title

Synopsis

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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