Advanced Numerical Approximation of Nonlinear Hyperbolic Equations: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo ... in Cetraro, Italy, June 23-28, 1997: 1697 - Brossura

Cockburn, Bernardo

 
9783540649779: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo ... in Cetraro, Italy, June 23-28, 1997: 1697

Sinossi

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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Contenuti

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.

Product Description

Book by Cockburn B Johnson C Shu CW Tadmor E

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Altre edizioni note dello stesso titolo

9783662164082: 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

Edizione in evidenza

ISBN 10:  3662164086 ISBN 13:  9783662164082
Casa editrice: Springer, 2014
Brossura