Spectral methods for time-dependent problems (Record no. 35125)

000 -LEADER
fixed length control field 02256 a2200229 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241016152339.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 241016b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521792110
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC20.7.S64
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Jan S. Hesthaven
245 ## - TITLE STATEMENT
Title Spectral methods for time-dependent problems
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Cambridge University Press,
Place of publication, distribution, etc. New York:
Date of publication, distribution, etc. [c2007]
300 ## - Physical Description
Pages: 273 p.
490 ## - SERIES STATEMENT
Series statement Cambridge Monographs on Applied and Computational Mathematics
Volume/sequential designation 21
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1 - From local to global approximation <br/>2 - Trigonometric polynomial approximation<br/>3 - Fourier spectral methods<br/>4 - Orthogonal polynomials <br/>5 - Polynomial expansions <br/>6 - Polynomial approximation theory for smooth functions <br/>7 - Polynomial spectral methods <br/>8 - Stability of polynomial spectral methods <br/>9 - Spectral methods for nonsmooth problems <br/>10 - Discrete stability and time integration <br/>11 - Computational aspects <br/>12 - Spectral methods on general grids <br/>
520 ## - SUMMARY, ETC.
Summary, etc. 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. --- summary provided by publisher
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Sigal Gottlieb
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name David Gottlieb
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Inventory number Full call number Accession No. Koha item type
        Physics ICTS Rack No 9 10/16/2024 IN346 dt.14th October 2024 QC20.7.S64 02864 Book