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

Mercier, Bertrand

 
9783662137574: An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)

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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9783540511069: An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)

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ISBN 10:  3540511067 ISBN 13:  9783540511069
Publisher: Springer, 1989
Hardcover