An Introduction to the Numerical Analysis of Spectral Methods [electronic resource] / by Bertrand Mercier.
Material type:
TextSeries: Lecture Notes in Physics ; 318Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1989Description: V, 154 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540461586Subject(s): Physics | Numerical analysis | Mathematical physics | Fluids | Engineering mathematics | Physics | Mathematical Methods in Physics | Numerical and Computational Methods | Fluids | Appl.Mathematics/Computational Methods of Engineering | Numerical AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 530.15 LOC classification: QC5.53Online resources: Click here to access online
In:
Springer eBooksSummary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK2524 |
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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