Advanced Numerical Approximation of Nonlinear Hyperbolic Equations 1

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Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

B Cockburn • C Johnson • C-W Shu • E Tadmor • Alfio Quarteroni

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454 sidor
1998

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.

Författare: B Cockburn, C Johnson, C-W Shu, E Tadmor, Alfio Quarteroni
Format: Pocket/Paperback
ISBN: 9783540649779
Språk: Engelska
Antal sidor: 454
Utgivningsdatum: 1998-11-01
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K