High-order accurate running compact scheme for multidimensional hyperbolic equations

DOI10.1134/S1064562412040448zbMath1255.65161OpenAlexW2089632910MaRDI QIDQ1761086

Boris V. Rogov

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412040448

zbMATH Keywords

initial-boundary value problemfinite difference methodcompact schemequasilinear first order hyperbolic equationmultidimensional hyperbolic equations

Mathematics Subject Classification ID

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

Related Items (8)

On exact dimensional splitting for a multidimensional scalar quasilinear hyperbolic conservation law ⋮ Iterative approximate factorization for difference operators of high-order bicompact schemes for multidimensional nonhomogeneous hyperbolic systems ⋮ On spectral-like resolution properties of fourth-order accurate symmetric bicompact schemes ⋮ Bicompact schemes for an inhomogeneous linear transport equation in the case of a large optical depth ⋮ Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves ⋮ Combined multidimensional bicompact scheme with higher order accuracy in domains of influence of nonstationary shock waves ⋮ Iterative approximate factorization of difference operators of high-order accurate bicompact schemes for multidimensional nonhomogeneous quasilinear hyperbolic systems ⋮ Bicompact scheme for the multidimensional stationary linear transport equation

Uses Software

• RODAS

Cites Work

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• Fourth-order accurate bicompact schemes for hyperbolic equations
• Monotone high-order accurate compact scheme for quasilinear hyperbolic equations
• Monotone compact running schemes for systems of hyperbolic equations
• Bicompact schemes and layered media

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