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

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

          
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About the Book

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.

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


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Product Details
  • ISBN-13: 9783540658931
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 230 mm
  • No of Pages: 587
  • Series Title: v. 9 Lecture Notes in Computational Science and Engineering
  • ISBN-10: 3540658939
  • Publisher Date: /07/1999
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Weight: 929.86 gr


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