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Yu. I. Shokin, Yu. V. Sergeeva, G. S. Khakimzyanov

Construction of monotonic schemes by the differential approximation method

In this paper we propose a new approach to the construction of monotonic difference schemes of second-order approximation, which is based on the investigation of differential approximations of schemes. We give monotonic nonlinear schemes of second-order approximation for linear and nonlinear transport equations. A generalization for the case of moving nonuniform grids and the system of shallow water equations is made.

Russian Journal of Numerical Analysis and Mathematical Modelling, Walter de Gruyter

Print ISSN: 0927-6467
Volume: 20, 10/2005
Seiten: 463 - 481

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