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Computational Methods for Hyperbolic Conservation Laws
"... These notes concern hyperbolic conservation laws. Conservation laws are PDEs with a ..."
Abstract
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These notes concern hyperbolic conservation laws. Conservation laws are PDEs with a
Non-oscillatory central differencing for hyperbolic conservation laws
- J. COMPUT. PHYS
, 1990
"... Many of the recently developed high-resolution schemes for hyperbolic conservation laws are based on upwind differencing. The building block of these schemes is the averaging of an approximate Godunov solver; its time consuming part involves the field-by-field decomposition which is required in orde ..."
Abstract
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Cited by 298 (25 self)
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Many of the recently developed high-resolution schemes for hyperbolic conservation laws are based on upwind differencing. The building block of these schemes is the averaging of an approximate Godunov solver; its time consuming part involves the field-by-field decomposition which is required
APPROXIMATION OF HYPERBOLIC CONSERVATION LAWS
, 2007
"... ii Abstract. In a first part, we study the zero diffusion-dispersion limit for a class of nonlinear hyperbolic and multi-dimensional conservation laws re-gularized in a fashion similar to to the Benjamin-Bona-Mahony-Burgers (BBMB) and Korteweg-deVries-Burgers (KdVB) equations. We establish the stron ..."
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ii Abstract. In a first part, we study the zero diffusion-dispersion limit for a class of nonlinear hyperbolic and multi-dimensional conservation laws re-gularized in a fashion similar to to the Benjamin-Bona-Mahony-Burgers (BBMB) and Korteweg-deVries-Burgers (KdVB) equations. We establish
Hyperbolic Conservation Laws
, 2000
"... The main purpose of the conference was to bring together different research groups working on theoretical and numerical aspects of conservation laws. In eighteen main lectures during the morning sessions important new results have been presented. Progress has been obtained in many fields of research ..."
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The main purpose of the conference was to bring together different research groups working on theoretical and numerical aspects of conservation laws. In eighteen main lectures during the morning sessions important new results have been presented. Progress has been obtained in many fields
Hyperbolic Conservation Laws with Umbilic
"... In this paper a compactness framework for approximate solutions to nonlinear hyper-bolic systems with umbilic degeneracy is established by combining compensated compact-ness ideas with some classical methods, and by a detailed analysis of a highly singular Euler-Poisson-Darboux-type equation. Then t ..."
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In this paper a compactness framework for approximate solutions to nonlinear hyper-bolic systems with umbilic degeneracy is established by combining compensated compact-ness ideas with some classical methods, and by a detailed analysis of a highly singular Euler-Poisson-Darboux-type equation
Hyperbolic Conservation Laws∗
"... gemeinschaft getragenen Sonderforschungsbereiches 611 an der Univer- ..."
Hyperbolic Conservation Laws with Stiff Relaxation Terms and Entropy
- Comm. Pure Appl. Math
, 1992
"... We study the limiting behavior of systems of hyperbolic conservation laws with stiff relaxation terms. Reduced systems, inviscid and viscous local conservation laws, and weakly nonlinear limits are derived through asymptotic expansions. An entropy condition is introduced for N \Theta N systems that ..."
Abstract
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Cited by 192 (8 self)
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We study the limiting behavior of systems of hyperbolic conservation laws with stiff relaxation terms. Reduced systems, inviscid and viscous local conservation laws, and weakly nonlinear limits are derived through asymptotic expansions. An entropy condition is introduced for N \Theta N systems
An Inviscid Regularization of Hyperbolic Conservation Laws
"... Abstract This article examines the utilization of a spatial averaging technique that applies filtering to the nonlinear terms of the partial differential equations as an inviscid shock-regularization of hyperbolic conservation laws. A central motivation is to promote a recently developed filtering ..."
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Abstract This article examines the utilization of a spatial averaging technique that applies filtering to the nonlinear terms of the partial differential equations as an inviscid shock-regularization of hyperbolic conservation laws. A central motivation is to promote a recently developed filtering
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