ENGLISH

High-Order Methods for Computational Physics

By Timothy J. Barth , Thomas Sonar , Rémi Abgrall , Oliver Friedrich (auth.) , Herman Deconinck (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1999
ISBN
978-3-662-03884-0, 978-3-662-03882-6
DOI
10.1007/978-3-662-03882-6
Language
english
Format
PDF
Filesize
15 MB (15213575 bytes)
Series
Lecture Notes in Computational Science and Engineering 9
Edition
1
Pages
587\593
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Computational Mathematics and Numerical Analysis;M

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 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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