High-Order Methods for Computational Physics
By: edited by Timothy J. Barth, Herman Deconinck
Contributors: Deconinck, Herman
Series: Lecture Notes in Computational Science and Engineering -- 9; Lecture Notes in Computational Science and Engineering -- 9
Publisher: Springer Berlin Heidelberg
Published: 1999
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 587
ISBN-13: 9783662038840; 9783662038826
Subjects: Mathematics; Engineering; Mathematical physics; Physics; Computer science
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.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.
Table of contents: title: R. Abgrall, T. Sonar, O. Friedrich, G. Billet: High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes; title: B. Cockburn: Discontinuous Galerkin Methods for Convection-Dominated Problems; title: R.D. Henderson: Adaptive Spectral Element Methods for Turbulence and Transition; title: C. Schwab: $hp$-FEM for Fluid Flow Simulation; title: C.-W. Shu: High Order ENO and WENO Schemes for Computational Fluid Dynamics.