Monotone schemes of conditional approximation and arbitrary order of accuracy for the transport equation

DOI10.1134/S0965542522030101OpenAlexW4224126791MaRDI QIDQ2131356

B. D. Utebaev, Piotr P. Matus

Publication date: 26 April 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542522030101

zbMATH Keywords

monotone schemeexact difference schemeconditional approximationschemes of arbitrary orderSteklov averaging

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

• The piecewise parabolic method (PPM) for gas-dynamical simulations
• On exact finite-difference schemes for hyperbolic and elliptic equations
• High resolution schemes for hyperbolic conservation laws
• Convergence of an eighth-order compact difference scheme for the nonlinear Schrödinger equation
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators
• Two-level finite difference scheme of improved accuracy order for time-dependent problems of mathematical physics
• On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms
• Exact Finite-Difference Schemes
• The Maximum Principle and Some of Its Applications
• Properties of Difference Schemes with Oblique Stencils for Hyperbolic Equations
• Exact Difference Schemes for Time-dependent Problems
• Nonlinear regularized finite-difference schemes for the multidimensional transport equation
• Arbitrary-order difference schemes for solving linear advection equations with constant coefficients by the Godunov method with antidiffusion
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