Timedependent problems and difference methods
 Author/Creator
 Gustafsson, Bertil, 1930
 Language
 English.
 Edition
 Second edition.
 Publication
 Hoboken, New Jersey : Wiley, [2013]
 Physical description
 xiii, 509 pages : illustrations ; 25 cm.
 Series
 Pure and applied mathematics (John Wiley & Sons : Unnumbered)
Access
Available online

Stacks

Unknown
QA374 .G974 2013

Unknown
QA374 .G974 2013
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Contributors
 Contributor
 Kreiss, H. (HeinzOtto)
 Oliger, Joseph, 1941
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 499505) and index.
 Contents

 Part 1: Problems with periodic solutions. Model Equations ; Higher order accuracy ; Wellposed problems ; Stability and convergence for difference methods ; Hyperbolic equations and numerical methods ; Parabolic equations and numerical methods ; Problems with discontinuous solutions.
 Part 2: Initialboundary value problems. The energy method for initialboundary value problems ; The laplace transform method for firstorder hyperbolic systems ; Secondorder wave equations ; The energy method for difference approximations ; The laplace transform method for difference approximations ; The laplace transform method for fully discrete approximations.
 Summary
 "TimeDependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for timedependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on secondorder systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to firstorder hyperbolic systems, initialboundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations, TimeDependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids ; Extended treatment of Summation By Parts operators and their application to secondorder derivatives ; Simplified presentation of certain parts and proofs. TimeDependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduatelevel courses in applied mathematics and scientific computations."Publisher's website.
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Bertil Gustafsson, HeinzOtto Kreiss, Joseph Oliger.
 Series
 Pure and applied mathematics
 Note
 "Published simultaneously in Canada"Title page verso.
 ISBN
 9780470900567
 0470900563