[PDF.88wt] An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)
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An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)
Bertrand Mercier
[PDF.ns11] An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)
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| 2014-09-12 | 2014-09-12 | Original language:English | PDF # 1 | 9.61 x.37 x6.69l,.60 | File type: PDF | 154 pages|
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 stud...
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