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Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997

  • Book
  • © 1998

Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1697)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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About this book

This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.

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Table of contents (4 chapters)

Bibliographic Information

  • Book Title: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

  • Book Subtitle: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997

  • Authors: Bernardo Cockburn, Chi-Wang Shu, Claes Johnson, Eitan Tadmor

  • Editors: Alfio Quarteroni

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0096351

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-64977-9Published: 18 November 1998

  • eBook ISBN: 978-3-540-49804-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 454

  • Topics: Partial Differential Equations, Numerical Analysis, Thermodynamics, Computational Intelligence

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