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On the Behavior of the Total Variation in CWENO Methods for Conservation Laws
Hyperbolic conservation laws Central difference schemes High-order accuracy Non-oscillatory schemes CWENO reconstruction TVB
2015/10/8
We consider a family of high-order, weighted essentially non-oscillatory central schemes (CWENO) for approximating solutions of one-dimensional hyperbolic systems of conservation laws. We are interest...
Accuracy of Classical Conservation Laws for Hamilton PDES Under Runge-Kutta Discretizations
Accuracy of Classical Conservation Laws Hamilton PDES Runge-Kutta Discretizations
2012/8/7
We investigate conservative properties of Runge-Kutta methods
for Hamiltonian PDEs. It is shown that multi-symplecitic Runge-Kutta meth-
ods preserve precisely norm square conservation law. Based on...
A NEW CLASS OF UNIFORMLY SECOND ORDER ACCURATE DIFFRENCE SCHEMES FOR 2D SCALAR CONSERVATION LAWS
2007/12/11
In this paper, concerned with the Cauchy problem for 2D nonlinear
hyperbolic conservation laws,we construct a class of uniformly second
order accurate finite difference schemes, which are based on t...
Construction of Solutions and L^1-error Estimates of Viscous Methods for Scalar Conservation Laws with Boundary
scalar conservation laws initial boundary value problem global weak entropy solution error estimate of viscous methods
2007/12/11
This paper is concerned with an initial boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many d...
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
DG for hyperbolic conservation laws Moving Mesh Method
2012/7/31
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 attention. One is abo...
