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Spectral methods for time-dependent problems /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Spectral methods for time-dependent problems // Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb.
Author:	Hesthaven, Jan S.,
other author:	Gottlieb, Sigal,
Description:	1 online resource (ix, 273 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Spectral theory (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9780511618352
ISBN:	9780511618352 (ebook)

Spectral methods for time-dependent problems /
Hesthaven, Jan S.,

Spectral methods for time-dependent problems /Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb. - 1 online resource (ix, 273 pages) :digital, PDF file(s). - Cambridge monographs on applied and computational mathematics ;21. - Cambridge monographs on applied and computational mathematics ;16..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511618352 (ebook)Subjects--Topical Terms:

527757
Spectral theory (Mathematics)

LC Class. No.: QC20.7.S64 / H47 2007

Dewey Class. No.: 515.3535

Spectral methods for time-dependent problems /
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520 $a 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.
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