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An Introduction to the Numerical Analysis of Spectral Methods

An Introduction to the Numerical Analysis of Spectral Methods

Paperback

Series: Lecture Notes in Physics, Book 318

General MathematicsPhysics

ISBN10: 3662137577
ISBN13: 9783662137574
Publisher: Springer Nature
Published: Aug 23 2014
Pages: 154
Weight: 0.60
Height: 0.35 Width: 6.69 Depth: 9.61
Language: English
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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General Mathematics