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High-Order Methods for Computational Physics

  • Timothy J. Barth
  • Herman Deconinck

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 9)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Rémi Abgrall, Thomas Sonar, Oliver Friedrich, Germain Billet
    Pages 1-67
  3. Christoph Schwab
    Pages 325-438
  4. Back Matter
    Pages 583-587

About this book

Introduction

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.

Keywords

Approximation Course Galerkin method Galerkinmethode Notes Numerische Diskretierungstechniken RTO Special computational physics finale Elementenmethode finite element method finite volume method numerical discretization techniques simulation

Editors and affiliations

  • Timothy J. Barth
    • 1
  • Herman Deconinck
    • 2
  1. 1.Information Sciences DirectorateNASA Ames Research CenterMoffett FieldUSA
  2. 2.Karman Institute for Fluid DynamicsSint-Genesius-RodeBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03882-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-03884-0
  • Online ISBN 978-3-662-03882-6
  • Series Print ISSN 1439-7358
  • Buy this book on publisher's site