An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)

Mercier, Bertrand

ISBN 10: 3662137577 ISBN 13: 9783662137574

Editorial: Springer, 2014

Idioma: Ingl�s

Condici�n: Nuevo Encuadernaci�n de tapa blanda

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Detalles bibliogr�ficos

T�tulo: An Introduction to the Numerical Analysis of Spectral Methods (Lecture Notes in Physics)
Editor: Springer
Fecha de publicaci�n: 2014
Idioma: Ingl�s
ISBN 10: 3662137577
ISBN 13: 9783662137574
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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Sinopsis

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.

Rese�a del editor

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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