Overview

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.

Full Product Details

Author:   B. Cockburn ,  Alfio Quarteroni ,  C. Johnson ,  C.-W. Shu
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1998 ed.
Volume:   1697
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   1.410kg
ISBN:  

9783540649779

ISBN 10:   3540649778
Pages:   454
Publication Date:   18 November 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
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Table of Contents

Approximate solutions of nonlinear conservation laws.- An introduction to the Discontinuous Galerkin method for convection-dominated problems.- Adaptive finite element methods for conservation laws.- Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws.

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