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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 (Paperback, 1998 ed.)
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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 (Paperback, 1998 ed.)
Series: Lecture Notes in Mathematics, 1697
Expected to ship within 10 - 15 working days
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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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