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An Introduction to the Numerical Analysis of Spectral Methods [electronic resource] / by Bertrand Mercier.
- Format:
- Book
- Author/Creator:
- Mercier, Bertrand., Author.
- Series:
- Lecture Notes in Physics, 0075-8450 ; 318
- Language:
- English
- Subjects (All):
- Physics.
- Fluids.
- Applied mathematics.
- Engineering mathematics.
- Numerical analysis.
- Mathematical Methods in Physics.
- Numerical and Computational Physics, Simulation.
- Fluid- and Aerodynamics.
- Mathematical and Computational Engineering.
- Numerical Analysis.
- Local Subjects:
- Mathematical Methods in Physics.
- Numerical and Computational Physics, Simulation.
- Fluid- and Aerodynamics.
- Mathematical and Computational Engineering.
- Numerical Analysis.
- Physical Description:
- 1 online resource (V, 154 p. 1 illus.)
- Edition:
- 1st ed. 1989.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989.
- Language Note:
- English
- Summary:
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- ISBN:
- 3-540-46158-2
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