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Cover of 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(C.I.M.E. Foundation Subseries)

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(C.I.M.E. Foundation Subseries)

(Paperback)

C. Johnson, Alfio Quarteroni, B. Cockburn, E. Tadmor, C.-W. Shu,

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (Publisher)

Published

1998

Reviews

Mathematics and Science Mathematics Calculus and mathematical analysis Numerical analysis

By: C. Johnson, Alfio Quarteroni, B. Cockburn, E. Tadmor, C.-W. Shu | Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG | Released: 18 Nov 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.