Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (

By: B. Cockburn, Centro Internazionale Matematico Estivo, A. Quarteroni

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Paperback | 18 November 1998

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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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Non-Fiction Medicine Medicine in General Mathematics Calculus & Mathematical Analysis Numerical Analysis Science Physics Thermodynamics & Heat Science in General Maths for Scientists Statistical Physics

Differential Calculus & Equations Computing & I.T.Computer Science Artificial Intelligence Engineering & Technology Technology in General Engineering in General

Approximate Solutions of Nonlinear Conservation Laws	p. 1
An Introduction to the Discontinuous Galerkin Method for Convection-Dominated Problems	p. 151
Adaptive Finite Element Methods for Conservation Laws	p. 269
Essentially Non-oscillatory and Weighted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws	p. 325
Table of Contents provided by Blackwell. All Rights Reserved.

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (

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