Now showing items 1-9 of 9

    • CENTRAL DISCONTINUOUS GALERKIN METHODS ON OVERLAPPING CELLS WITH A NONOSCILLATORY HIERARCHICAL RECONSTRUCTION 

      LIU, YINGJIE; SHU, CHI-WANG; TADMOR, EITAN; ZHANG, MENGPING (Copyright: Society for Industrial and Applied Mathematics, 2007)
      The central scheme of Nessyahu and Tadmor [J. Comput. Phys., 87 (1990), pp. 408–463] solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann problems across cell boundaries. To overcome the ...
    • CRITICAL THRESHOLDS IN 2D RESTRICTED EULER–POISSON EQUATIONS 

      LIU, HAILIANG; TADMOR, EITAN (Copyright: Society for Industrial and Applied Mathematics, 2003)
      We provide a complete description of the critical threshold phenomenon for the twodimensional localized Euler–Poisson equations, introduced by the authors in [Comm. Math. Phys., 228 (2002), pp. 435–466]. Here, the questions ...
    • CRITICAL THRESHOLDS IN A CONVOLUTION MODEL FOR NONLINEAR CONSERVATION LAWS 

      LIU, HAILIANG; TADMOR, EITAN (Copyright: Society for Industrial and Applied Mathematics, 2001)
      In this work we consider a convolution model for nonlinear conservation laws.Due to the delicate balance between the nonlinear convection and the nonlocal forcing, this model allows for narrower shock layers than those ...
    • Pointwise error estimates for relaxation approximations to conservation laws 

      TADMOR, EITAN; TANG, TAO (Copyright: Society for Industrial and Applied Mathematics, 2000)
      We obtain sharp pointwise error estimates for relaxation approximation to scalar conservation laws with piecewise smooth solutions. We first prove that the first-order partial derivatives for the perturbation solutions ...
    • SPECTRAL VANISHING VISCOSITY METHOD FOR NONLINEAR CONSERVATION LAWS 

      GUO, BEN-YU; MA, HE-PING; TADMOR, EITAN (Copyright: Society for Industrial and Applied Mathematics, 2001)
      We propose a new spectral viscosity(SV) scheme for the accurate solution of nonlinear conservation laws. It is proved that the SV solution converges to the unique entropysolution under appropriate reasonable conditions. ...