Time-Dependent Problems and Difference Methods

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Synopsis
Praise for the First Edition". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations."--SIAM ReviewTime-Dependent 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 time-dependent 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 second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary 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,Time-Dependent Problems and Difference Methods, Second Edition also includes:High order methods on staggered gridsExtended treatment of Summation By Parts operators and their application to second-order derivativesSimplified presentation of certain parts and proofsTime-Dependent 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 graduate-level courses in applied mathematics and scientific computations.
Copyright:
2013

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9781118548523
Related ISBNs:
9780470900567
Publisher:
Wiley
Date of Addition:
Copyrighted By:
John Wiley & Sons
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Technology, Mathematics and Statistics
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

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