✦ LIBER ✦

Advanced numerical approximation of nonlinear hyperbolic equations: lectures given at the 2nd session of the Centro Internazionale Matematico Estivo

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

Book ID: 127422741
Publisher: Springer
Year: 1998
Tongue: English
Weight: 3 MB
Series: Lecture notes in mathematics 1697
Edition: 1
Category: Library
City: Berlin; New York
ISBN: 3540649778
ISSN: 0075-8434

No coin nor oath required. For personal study only.

✦ Synopsis

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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