High-Order Methods for Computational Physics (Lecture Notes in Computational Science and Engineering) | 
 enlarge | Creators: Timothy J. Barth, Herman Deconinck
Publisher: Springer
Category: EBooks
List Price: $108.00
Buy New: $86.40
You Save: $21.60 (20%)
Rating:  2 reviews
Sales Rank: 67656
Format: Kindle Book
Media: Kindle Edition
Pages: 582
Number Of Items: 1
Shipping Weight (lbs): 2.1
Dimensions (in): 9.8 x 6.8 x 0.8
Dewey Decimal Number: 532.00151
Publication Date: June 1, 2003
Availability: Usually ships in 24 hours
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| Editorial Reviews:
Product Description
This book considers recent developments in very high-order accurate numerical discretization techniques for partial differential equations. Primary attention is given to the equations of computational fluid dynamics with additional consideration given to the Hamilton-Jacobi, Helmholtz, and elasticity equations. This book should be of particular relevance to those readers with an interest in numerical discretization techniques which generalize to very high- order accuracy. The volume consists of five articles prepared by leading specialists covering the following specific topics: high-order finite volume discretization via essentially non-oscillatory (ENO) and weighted essentially non-oscillatory (WENO) reconstruction,the discontinuous Galerkin method, the Galerkin least-squares method, spectral and $hp$-finite element methods, and the mortar finite element method. Implementational and efficiency issues associated with each method are discussed throughout the book.
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| Customer Reviews:
 a reference ! February 17, 2000
jean-francois (usa)
1 out of 4 found this review helpful
This book constitues an universal reference for people working on higher order methods. The chapter from Bernardo Cockburn is really great.
 Great compilation but proof-read badly October 9, 2001
Sergei Morozov (Stanford, CA United States)
0 out of 1 found this review helpful
This book contains comprehensive collection of high-order methods for PDE, and is of great value as a reference for any one concerned with delicate features of CFD solutions, discontinuities and such. Chapter on ENO and WENO schemes is really good, although obsessed too much with finite volume as opposed to finite difference schemes. First chapter (by Abgral et al) reveals quite obviously that authors are not native speakers of English, and leaves an impression of job in progress and in need of editorial input. Chapters by Henderson and Schwab are good, if somewhat more esoteric. I disagree with previous reviewer regarding chapter by Cockburn. Having seen his published papers, it appears that the chapter is unedited compilation of those works. As a result, equations, figures, and tables are numbered inconsistently, and referrences in the text are given to wrong places. There are more typos than in other chapters. Finally, while the rest of the book is typeset in 12pt font size, most (but not all!!!) of this chapter is in 10pt. Substance is great, but the editorial polish is not there.
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