Abstract
The Cauchy problem for a two-dimensional transport equation is considered. Two-layer certainly monotonous explicit second-order scheme, steady at large values of the difference Courant number, and an implicit two-layered certainly monotonous second-order scheme are developed based on the maximum principle for multilayered nonlinear difference schemes.
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Akimenko, V.V. Simulation of Two-Dimensional Transport Processes Using Nonlinear Monotone Second-Order Schemes. Cybernetics and Systems Analysis 39, 839–853 (2003). https://doi.org/10.1023/B:CASA.0000020226.13800.28
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DOI: https://doi.org/10.1023/B:CASA.0000020226.13800.28