1.

Record Nr.

UNISA996466803703316

Autore

Mercier Bertrand

Titolo

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

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1989

ISBN

3-540-46158-2

Edizione

[1st ed. 1989.]

Descrizione fisica

1 online resource (V, 154 p. 1 illus.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 318

Disciplina

530.15

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Sommario/riassunto

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.