Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping. An improved quadrature rule for the flux-computation. A continuous dependence result for nonlinear degenerate parabolic equations with spatially dependent flux function. On the spreading of characteristics for nonconvex conservation laws. Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics.
Error estimates for approximate solutions for nonlinear scalar conservation laws.
On the convergence rate of operator splitting for weakly coupled systems of Hamilton-Jacobi equations. A difference scheme for conservation laws with a discontinuous flux - the nonconvex case. Numerical solution of reservoir flow models based on large time step operator splitting algorithms. Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems. A wave front tracking algorithm for NxN non genuinely nonlinear conservation laws.