C.I.M.E. Foundation Subseries

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

Authors: Cockburn, B., Johnson, C., Shu, C.-W., Tadmor, E.

Editors: Quarteroni, Alfio Maria (Ed.)

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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.

Table of contents (4 chapters)

Table of contents (4 chapters)
  • Approximate solutions of nonlinear conservation laws

    Pages 1-149

    Tadmor, Eitan

  • An introduction to the Discontinuous Galerkin method for convection-dominated problems

    Pages 150-268

    Cockburn, Bernardo

  • Adaptive finite element methods for conservation laws

    Pages 269-323

    Johnson, Claes

  • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws

    Pages 325-432

    Shu, Chi-Wang

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-3-540-49804-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.99
price for USA in USD
  • ISBN 978-3-540-64977-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

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
Editors
  • Alfio Maria Quarteroni
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1697
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-49804-9
DOI
10.1007/BFb0096351
Softcover ISBN
978-3-540-64977-9
Edition Number
1
Number of Pages
VI, 454
Topics