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• W3200094192 abstract "We provide a framework for high-order discretizations of nonlinear scalar convection-diffusion equations that satisfy a discrete maximum principle. The resulting schemes can have arbitrarily high order accuracy in time and space, and can be stable and maximum-principle-preserving (MPP) with no step size restriction. The schemes are based on a two-tiered limiting strategy, starting with a high-order limiter-based method that may have small oscillations or maximum-principle violations, followed by an additional limiting step that removes these violations while preserving high order accuracy. The desirable properties of the resulting schemes are demonstrated through several numerical examples." @default.
• W3200094192 created "2021-09-27" @default.
• W3200094192 creator A5033821749 @default.
• W3200094192 creator A5034837846 @default.
• W3200094192 date "2022-08-01" @default.
• W3200094192 modified "2023-10-03" @default.
• W3200094192 title "Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge–Kutta Discretizations of Scalar Convection-diffusion Equations" @default.
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• W3200094192 doi "https://doi.org/10.1007/s10915-022-01922-8" @default.
• W3200094192 hasPublicationYear "2022" @default.
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