High-order Methods for Computational Physics: v. 9 (Lecture Notes in Computational Science and Engineering) - Hardcover

Hardcover

ISBN 10: 3540658939 ISBN 13: 9783540658931

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1999

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1999
• Language: English
• ISBN 10: 3540658939
• ISBN 13: 9783540658931
• Binding: Hardcover
• Edition number: 2
• Number of pages: 594
• Editor: Barth Timothy J., Deconinck H.