An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)

Mercier, Bertrand

ISBN 10: 3662137577 ISBN 13: 9783662137574

Published by Springer, 2014

Language: English

Condition: New Soft cover

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Bibliographic Details

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

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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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