Nonlinear regularized finite-difference schemes for the multidimensional transport equation

zbMath0993.65095MaRDI QIDQ5954731

A. A. Samarskij, V. A. Pervichko, V. V. Chudanov, Petr N. Vabishchevich

Publication date: 13 September 2002

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

maximum principlenumerical examplestransport equationfinite-difference schemehigh order accuracynonlinear regularization

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Initial value problems for first-order hyperbolic systems (35L45)

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Monotone schemes of conditional approximation and arbitrary order of accuracy for the transport equation

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