Advanced Numerical Approximation of Nonlinear Hyperbolic Equations von B. Cockburn | Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997 | ISBN 9783540498049

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

von B. Cockburn, C. Johnson, C.-W. Shu und E. Tadmor, herausgegeben von Alfio Quarteroni
Mitwirkende
Autor / AutorinB. Cockburn
Herausgegeben vonAlfio Quarteroni
Autor / AutorinC. Johnson
Autor / AutorinC.-W. Shu
Autor / AutorinE. Tadmor
Buchcover Advanced Numerical Approximation of Nonlinear Hyperbolic Equations | B. Cockburn | EAN 9783540498049 | ISBN 3-540-49804-4 | ISBN 978-3-540-49804-9

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

von B. Cockburn, C. Johnson, C.-W. Shu und E. Tadmor, herausgegeben von Alfio Quarteroni
Mitwirkende
Autor / AutorinB. Cockburn
Herausgegeben vonAlfio Quarteroni
Autor / AutorinC. Johnson
Autor / AutorinC.-W. Shu
Autor / AutorinE. Tadmor
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.