An Introduction to the Numerical Analysis of Spectral Methods

Name: An Introduction to the Numerical Analysis of Spectral Methods
Brand: Springer Nature
SKU: 9783540461586
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Springer Nature

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9783540461586

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Product Description

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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