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» A numerical method for fractal conservation laws
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MOC
2010
12 years 11 months ago
A numerical method for fractal conservation laws
: We consider a fractal scalar conservation law, that is to say a conservation law modified by a fractional power of the Laplace operator, and we propose a numerical method to appr...
Jérôme Droniou
APPML
2010
103views more  APPML 2010»
13 years 5 months ago
A smoothness/shock indicator for the RKDG methods
A smoothness/shock indicator is proposed for the RKDG methods solving nonlinear conservation laws. A few numerical experiments are presented as evidence that the indicator helps in...
David Rumsey, Tong Sun
AMC
2006
105views more  AMC 2006»
13 years 4 months ago
Stable numerical methods for conservation laws with discontinuous flux function
We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, ...
Mohammed Seaïd
MOC
2002
100views more  MOC 2002»
13 years 4 months ago
Numerical computation of viscous profiles for hyperbolic conservation laws
Viscous profiles of shock waves in systems of conservation laws can be viewed as heteroclinic orbits in associated systems of ordinary differential equations (ODE). In the case of ...
Heinrich Freistühler, Christian Rohde
JSCIC
2006
92views more  JSCIC 2006»
13 years 4 months ago
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much a...
Ruo Li, Tao Tang