IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

On convergence of minmod-type schemes

A 2002 Preprint by S. Konyagin, B. Popov, and O. Trifonov

  • 2002:22
  • A class of nonoscillatory numerical methods for solving nonlinear scalar conservation laws in one space dimension is considered. This class of methods contains the classical Lax-Friedrichs and the second-order Nessyahu-Tadmor schemes. In the case of linear flux, new l2 stability results and error estimates for the methods are proved. Numerical experiments confirm that these methods are one-sided l2 stable for convex flux instead of the usual Lip+ stability.

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