Spectral Methods for Time-Dependent Problems

Name: Spectral Methods for Time-Dependent Problems
SKU: 2491618
Price: 298.00 NZD
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Hardback

Series:

Cambridge Monographs on Applied and Computational Mathematics

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Description

Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.

Author Biography:

Jan Hesthaven is a Professor of Applied Mathematics at Brown University. Sigal Gottlieb is an Associate Professor at the Department of Mathematics, University of Massachusetts, Dartmouth. David Gottlieb is a Professor in the Division of Applied Mathematics, Brown University.

Release date NZ

January 11th, 2007

Author

Audience

Professional & Vocational

Illustrations

50 Line drawings, unspecified

Pages

284

Series

Cambridge Monographs on Applied and Computational Mathematics

Dimensions

152x229x19

ISBN-13

9780521792110

Product ID

2491618

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