О монотонных разностных схемах

DOI10.1134/S0234087919080021zbMath1440.65098OpenAlexW2957102088MaRDI QIDQ5112096

I. V. Popov

Publication date: 28 May 2020

Published in: Математическое моделирование (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm4101

zbMATH Keywords

finite difference schememonotone schemesadaptive artificial viscosity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Grid approximation of singularly perturbed parabolic equations with piecewise continuous initial-boundary conditions
• The computation of boundary flow with uniform accuracy with respect to a small parameter
• The uniform convergence with respect to a small parameter of A. A. Samarskij's monotone scheme and its modification
• Difference schemes on a nine-point “cross” pattern for solving the Navier-Stokes equations
• Homogeneous difference schemes on non-uniform nets
• Monotonic difference schemes for elliptic and parabolic equations in the case of a non-selfadjoint elliptic operator

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