On High-Precision $$L^\infty $$-stable IMEX Schemes for Scalar Hyperbolic Multi-scale Equations

DOI10.1007/978-3-030-72850-2_4zbMath1482.65150OpenAlexW3111357018MaRDI QIDQ5020152

Andrea Thomann, Victor Michel-Dansac

Publication date: 4 January 2022

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-72850-2_4

zbMATH Keywords

MOOD\(L^\infty\) stabilityhyperbolic multi-scale equationsIMEX R-K schemes

Mathematics Subject Classification ID

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) A priori estimates in context of PDEs (35B45) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

TVD-MOOD schemes based on implicit-explicit time integration

Cites Work

• A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime
• Strong Stability-Preserving High-Order Time Discretization Methods
• Study of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number Limit
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