An Introduction to the Numerical Analysis of Spectral Methods [electronic resource] / by Bertrand Mercier.

By:

Mercier, Bertrand [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Physics ; 318Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1989Description: V, 154 p. 1 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540461586

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:

530.15 23

LOC classification:

QC5.53

Online 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.

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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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