About one choice of essentially non-oscillatory high accuracy order difference scheme for systems of conservation laws. (Russian. English summary) Zbl 1212.65322

Ladonkina, M. E.; Neklyudova, O. A.; Tishkin, V. F.; Chevanin, V. S.

Mat. Model. 21, No. 11, 19-32 (2009).

A new method of interpolation based on a minimization of the deviations norm for an interpolation polynomial and the integral averaged inside of the mesh. This approach can provide a more monotone solution in comparison to traditional methods.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65	Hyperbolic conservation laws

Keywords:

finite difference methods; essentially non-oscillatory high accuracy order difference scheme; systems of conservation laws