О сходимости и точности метода итерируемой приближенной факторизации операторов многомерных высокоточных бикомпактных схем

DOI10.1134/S0234087919120098zbMath1451.65159OpenAlexW2991196194MaRDI QIDQ5112143

A. V. Chikitkin, Boris V. Rogov

Publication date: 28 May 2020

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

Full work available at URL: http://mathnet.ru/eng/mm4143

zbMATH Keywords

parallel algorithmsiterative approximate factorization methodbicompact schemesmultidimensional inhomogeneous advection equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems ⋮ Bicompact schemes for the multidimensional convection-diffusion equation ⋮ Comparison of dissipation and dispersion properties of compact difference schemes for the numerical solution of the advection equation

Uses Software

• QuDiff

Cites Work

• Minimal dissipation hybrid bicompact schemes for hyperbolic equations
• Optimal monotonization of a high-order accurate bicompact scheme for the nonstationary multidimensional transport equation
• High-order accurate bicompact schemes for solving the multidimensional inhomogeneous transport equation and their efficient parallel implementation
• Fourth-order accurate bicompact schemes for hyperbolic equations
• Iterative approximate factorization of difference operators of high-order accurate bicompact schemes for multidimensional nonhomogeneous quasilinear hyperbolic systems
• 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
• Dispersive and dissipative properties of the fully discrete bicompact schemes of the fourth order of spatial approximation for hyperbolic equations
• Monotonic bicompact schemes for linear transport equations
• High-order accurate monotone compact running scheme for multidimensional hyperbolic equations
• High-order accurate monotone compact running scheme for multidimensional hyperbolic equations
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