Time Dependent Problems and Difference Methods (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) | 
 enlarge | Authors: Bertil Gustafsson, Heinz-otto Kreiss, Joseph Oliger
Publisher: Wiley-Interscience
Category: Book
List Price: $165.00
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Rating:  1 reviews
Sales Rank: 1289172
Media: Hardcover
Pages: 656
Number Of Items: 1
Shipping Weight (lbs): 2.5
Dimensions (in): 9.5 x 6.5 x 1.5
ISBN: 0471507342
Dewey Decimal Number: 515.353
EAN: 9780471507345
Publication Date: February 16, 1996
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Product Description
Time dependent problems frequently pose challenges in areas of science and engineering dealing with numerical analysis, scientific computation, mathematical models, and most importantly--numerical experiments intended to analyze physical behavior and test design. Time Dependent Problems and Difference Methods addresses these various industrial considerations in a pragmatic and detailed manner, giving special attention to time dependent problems in its coverage of the derivation and analysis of numerical methods for computational approximations to Partial Differential Equations (PDEs).
The book is written in two parts. Part I discusses problems with periodic solutions; Part II proceeds to discuss initial boundary value problems for partial differential equations and numerical methods for them. The problems with periodic solutions have been chosen because they allow the application of Fourier analysis without the complication that arises from the infinite domain for the corresponding Cauchy problem. Furthermore, the analysis of periodic problems provides necessary conditions when constructing methods for initial boundary value problems. Much of the material included in Part II appears for the first time in this book.
The authors draw on their own interests and combined extensive experience in applied mathematics and computer science to bring about this practical and useful guide. They provide complete discussions of the pertinent theorems and back them up with examples and illustrations.
For physical scientists, engineers, or anyone who uses numerical experiments to test designs or to predict and investigate physical phenomena, this invaluable guide is destined to become a constant companion. Time Dependent Problems and Difference Methods is also extremely useful to numerical analysts, mathematical modelers, and graduate students of applied mathematics and scientific computations.
What Every Physical Scientist and Engineer Needs to Know About Time Dependent Problems . . .
Time Dependent Problems and Difference Methods covers the analysis of numerical methods for computing approximate solutions to partial differential equations for time dependent problems. This original book includes for the first time a concrete discussion of initial boundary value problems for partial differential equations. The authors have redone many of these results especially for this volume, including theorems, examples, and over one hundred illustrations.
The book takes some less-than-obvious approaches to developing its material:
* Treats differential equations and numerical methods with a parallel development, thus achieving a more useful analysis of numerical methods
* Covers hyperbolic equations in particularly great detail
* Emphasizes error bounds and estimates, as well as the sufficient results needed to justify the methods used for applications
Time Dependent Problems and Difference Methods is written for physical scientists and engineers who use numerical experiments to test designs or to predict and investigate physical phenomena. It is also extremely useful to numerical analysts, mathematical modelers, and graduate students of applied mathematics and scientific computations.
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| Customer Reviews:
An essential for any numerical analyst June 26, 2007
R. Behboudi (US)
0 out of 1 found this review helpful
This book must be placed at the eye-level in the bookshelf of any scientist, mathematician, and practitioner who uses numerical techniques in his/her work. I was introduced to this book a few years ago when I was working on my Ph.D. dissertation, and I have kept it handy and close by ever since. The chapters are well written and well ordered, and the techniques are universal. The methods presented can be utilized to apply not only to finite difference schemes, which was the intention of the authors, but also to other numerical techniques such as finite elements, finite volumes, or spectral. I highly recommend this book.
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