High-order accurate bicompact schemes for solving the multidimensional inhomogeneous transport equation and their efficient parallel implementation

DOI10.1134/S1064562416040189zbMath1359.65175OpenAlexW2550612623MaRDI QIDQ512496

A. V. Chikitkin, E. N. Aristova, Boris V. Rogov

Publication date: 27 February 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562416040189

zbMATH Keywords

numerical examplesmethod of linesRunge-Kutta methodssemidiscrete equationslinear transport equationnonuniform gridbicompact scheme

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) First-order hyperbolic equations (35L02)

Related Items (3)

Постановка граничных условий в бикомпактных схемах для HOLO алгоритмов решения уравнения переноса ⋮ О сходимости и точности метода итерируемой приближенной факторизации операторов многомерных высокоточных бикомпактных схем ⋮ Бикомпактные схемы для численного решения модельной задачи нестационарного переноса нейтронов HOLO алгоритмами

Uses Software

• RODAS

Cites Work

• Fourth-order accurate bicompact schemes for hyperbolic equations
• Monotone bicompact scheme for quasilinear hyperbolic equations
• Bicompact scheme for the multidimensional stationary linear transport equation
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Bicompact Rogov schemes for the multidimensional inhomogeneous linear transport equation at large optical depths
• Diagonally implicit Runge-Kutta methods for stiff problems
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