Bicompact schemes for the multidimensional convection-diffusion equation

DOI10.1134/S0965542521040023zbMath1476.65213OpenAlexW3169265764MaRDI QIDQ2030120

Boris V. Rogov, Michael D. Bragin

Publication date: 7 June 2021

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

Full work available at URL: https://doi.org/10.1134/s0965542521040023

zbMATH Keywords

convection-diffusion equationbicompact schemescompact schemeshigh-order accurate schemesimplicit schemes

Mathematics Subject Classification ID

Diffusion (76R50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical interpolation (65D05) 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) Direct numerical methods for linear systems and matrix inversion (65F05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

High-order bicompact schemes for the quasilinear multidimensional diffusion equation ⋮ Combined numerical schemes ⋮ Numerical simulation of haline-convective flows with viscosity contrast in a porous medium

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Minimal dissipation hybrid bicompact schemes for hyperbolic equations
• Iterative approximate factorization of difference operators of high-order accurate bicompact schemes for multidimensional nonhomogeneous quasilinear hyperbolic systems
• Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system
• High-order bicompact schemes for shock-capturing computations of detonation waves
• Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
• Conservative limiting method for high-order bicompact schemes as applied to systems of hyperbolic equations
• Family of central bicompact schemes with spectral resolution property for hyperbolic equations
• On hyperbolic method for diffusion with discontinuous coefficients
• Dispersive and dissipative properties of the fully discrete bicompact schemes of the fourth order of spatial approximation for hyperbolic equations
• Monotone compact running schemes for systems of hyperbolic equations
• Advection-Diffusion-Reaction Equations: Hyperbolization and High-Order ADER Discretizations
• Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• О сходимости и точности метода итерируемой приближенной факторизации операторов многомерных высокоточных бикомпактных схем
• Высокоточные бикомпактные схемы для численного моделирования течений многокомпонентных газов с несколькими химическими реакциями
• Solving Ordinary Differential Equations II
• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
• Approximate factorization for time-dependent partial differential equations