Well-Balanced and Asymptotic Preserving IMEX-Peer Methods

DOI10.1007/978-3-030-55874-1_85zbMath1475.65052arXiv2010.13479OpenAlexW3164879157MaRDI QIDQ5152885

Moritz Schneider, Jens Lang

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13479

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Partitioned and implicit-explicit general linear methods for ordinary differential equations
• Superconvergent IMEX peer methods
• Super-convergent implicit-explicit peer methods with variable step sizes
• IMEX peer methods for fast-wave-slow-wave problems
• Superconvergent explicit two-step peer methods
• On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws
• A class of implicit peer methods for stiff systems
• Extrapolation-based implicit-explicit Peer methods with optimised stability regions
• Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part
• Extrapolation-based implicit-explicit general linear methods
• A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Parallel Two-Step W-Methods with Peer Variables
• Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations
• General linear methods

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