On Convergence of Minmod-type Schemes

Abstract

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

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Document Details

Document Type
Technical Report
Publication Date
Jan 21, 2003
Accession Number
ADA639184

Entities

People

  • Bojan Popov
  • Ognian Trifonov
  • Sergei Konyagin

Organizations

  • University of South Carolina

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  • Mathematics

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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

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