Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge--Kutta Schemes
DOI10.1137/21M145793XzbMath1501.65070OpenAlexW4285362429MaRDI QIDQ5043375
Alexandre Ern, Jean-Luc Guermond
Publication date: 21 October 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m145793x
hyperbolic systemstime integrationRunge-Kuttahigh-order methodstrong stability preservingconservation equationsinvariant domain preserving
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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