Spectral Methods for Time-Dependent Problems (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Monographs on Applied and Computational Mathematics
Release date:	2007
First published:	2007
Authors:	Jan S. Hesthaven • Sigal Gottlieb • David Gottlieb
Dimensions:	229 x 152 x 19mm (L x W x T)
Format:	Hardcover
Pages:	284
ISBN-13:	978-0-521-79211-0
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Promotions
LSN:	0-521-79211-8
Barcode:	9780521792110

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