Skip to main content
SpringerLink
Log in

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

Authors:
  1. Bernardo Cockburn
    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Chi-Wang Shu
    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Claes Johnson
    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Eitan Tadmor
    View author publications

    You can also search for this author in PubMed   Google Scholar

Editors:
  1. Alfio Quarteroni
    View editor publications

    You can also search for this editor in PubMed   Google Scholar

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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages I-VI
    Download chapter PDF

  2. Approximate solutions of nonlinear conservation laws

    • Eitan Tadmor
    Pages 1-149

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

    • Bernardo Cockburn
    Pages 150-268

  4. Adaptive finite element methods for conservation laws

    • Claes Johnson
    Pages 269-323

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

    • Chi-Wang Shu
    Pages 325-432

  6. Back Matter

    Pages 433-452
    Download chapter PDF
Back to top

Keywords

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.

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

Publish with us

Policies and ethics

Back to top

Search

Navigation