Iterative approximate factorization of difference operators of high-order accurate bicompact schemes for multidimensional nonhomogeneous quasilinear hyperbolic systems

DOI10.1134/S096554251803003XzbMath1457.65042OpenAlexW2796909852MaRDI QIDQ722391

Boris V. Rogov, Michael D. Bragin

Publication date: 23 July 2018

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

Full work available at URL: https://doi.org/10.1134/s096554251803003x

zbMATH Keywords

iterative methodsfactorizationhyperbolic equationsbicompact and compact schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (8)

Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems ⋮ Неявно-явные бикомпактные схемы для гиперболических систем законов сохранения ⋮ High-order bicompact schemes for the quasilinear multidimensional diffusion equation ⋮ О сходимости и точности метода итерируемой приближенной факторизации операторов многомерных высокоточных бикомпактных схем ⋮ High-order bicompact schemes for shock-capturing computations of detonation waves ⋮ Bicompact schemes for the multidimensional convection-diffusion equation ⋮ Accuracy of bicompact schemes in the problem of Taylor-Green vortex decay ⋮ Family of central bicompact schemes with spectral resolution property for hyperbolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal dissipation hybrid bicompact schemes for hyperbolic equations
• Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
• The Boltzmann equation and its applications
• High-order accurate running compact scheme for multidimensional hyperbolic equations
• On the necessity of negative coefficients for operator splitting schemes of order higher than two
• A Concise Introduction to Geometric Numerical Integration
• Monotone compact running schemes for systems of hyperbolic equations
• Iterative Splitting Methods for Differential Equations
• Introduction to Reactive Gas Dynamics
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Solving Linear Partial Differential Equations by Exponential Splitting
• High-order accurate monotone compact running scheme for multidimensional hyperbolic equations
• Approximate factorization for time-dependent partial differential equations

This page was built for publication: Iterative approximate factorization of difference operators of high-order accurate bicompact schemes for multidimensional nonhomogeneous quasilinear hyperbolic systems