Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations
DOI10.1007/s10915-022-01922-8zbMath1503.65198arXiv2109.08272OpenAlexW3200094192WikidataQ114225545 ScholiaQ114225545MaRDI QIDQ2162336
Manuel Quezada de Luna, David I. Ketcheson
Publication date: 5 August 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08272
flux-corrected transportscalar convection-diffusion equationsmonolithic convex limitingdiagonally implicit Runge-Kutta time steppingpositivity-preserving implicit schemes
Diffusion (76R50) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
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