Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

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90,94 

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28,1997, Lecture Notes in Mathematics 1697 – C.I.M.E. Foundation Subseries

ISBN: 3540649778
ISBN 13: 9783540649779
Herausgeber: Alfio Quarteroni
Verlag: Springer Verlag GmbH
Umfang: vi, 454 S.
Erscheinungsdatum: 18.11.1998
Weitere Autoren: Cockburn, B/Johnson, C/Shu, C -W et al
Auflage: 1/1998
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 5023354 Kategorie:

Beschreibung

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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