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" High-Order Methods for Computational Physics "
edited by Timothy J. Barth, Herman Deconinck.
Document Type
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BL
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Record Number
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578598
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Doc. No
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b407817
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Main Entry
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Barth, Timothy J.
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Title & Author
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High-Order Methods for Computational Physics\ edited by Timothy J. Barth, Herman Deconinck.
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Publication Statement
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Berlin, Heidelberg :: Springer Berlin Heidelberg :: Imprint: Springer,, 1999.
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Series Statement
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Lecture Notes in Computational Science and Engineering,; 9
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ISBN
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9783662038826
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: 9783662038840
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Contents
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High Order Approximations for Compressible Fluid Dynamics on Un structured and Cartesian Meshes -- Discontinuous Galerkin Methods for Convection-Dominated Problems -- Adaptive Spectral Element Methods for Turbulence and Transition -- hp-FEM for Fluid Flow Simulation -- High Order ENO and WENO Schemes for Computational Fluid Dynamics.
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Abstract
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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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Subject
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Mathematics.
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Subject
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Computer science-- Mathematics.
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Subject
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Mathematical physics.
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Subject
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Physics.
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Subject
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Engineering.
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Added Entry
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Deconinck, Herman.
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Added Entry
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SpringerLink (Online service)
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