On convergence of minmod-type schemes Academic Article

abstract

• 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 l 2 stability results and error estimates for the methods are proved. Numerical experiments confirm that these methods are one-sided l 2 stable for convex flux instead of the usual Lip+ stability. 2005 Society for Industrial and Applied Mathematics.

authors

• Popov, Bojan

published proceedings

• SIAM JOURNAL ON NUMERICAL ANALYSIS

author list (cited authors)

• Konyagin, S., Popov, B., & Trifonov, O.

citation count

• 4

complete list of authors

• Konyagin, S||Popov, B||Trifonov, O

publication date

• January 2005

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Numerical Analysis  Journal

keywords

• Conservation Laws
• Convergence
• Minmod-type Schemes

Digital Object Identifier (DOI)

• 10.1137/S0036142903423861

start page

• 1978

end page

• 1997

volume

• 42

issue

• 5

URL

• http://dx.doi.org/10.1137/s0036142903423861