Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part

DOI10.1016/j.jcp.2018.04.006zbMath1415.65164arXiv1711.09231OpenAlexW2768710037WikidataQ130020573 ScholiaQ130020573MaRDI QIDQ2424509

Jens Lang, Moritz Schneider, Willem H. Hundsdorfer

Publication date: 25 June 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09231

zbMATH Keywords

A-stabilitysuperconvergenceextrapolationimplicit-explicit Peer methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (11)

A unified formulation of splitting-based implicit time integration schemes ⋮ Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ Two-step peer methods with equation-dependent coefficients ⋮ Convergence results for implicit-explicit general linear methods ⋮ Time-accurate and highly-stable explicit peer methods for stiff differential problems ⋮ Super-convergent implicit-explicit peer methods with variable step sizes ⋮ Alternating directions implicit integration in a general linear method framework ⋮ An asymptotic preserving semi-implicit multiderivative solver ⋮ Well-Balanced and Asymptotic Preserving IMEX-Peer Methods ⋮ Unnamed Item ⋮ Parallel implicit-explicit general linear methods

Cites Work

• Unnamed Item
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• High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs
• On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
• Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
• Superconvergent IMEX peer methods
• Implicit parallel peer methods for stiff initial value problems
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• IMEX peer methods for fast-wave-slow-wave problems
• Superconvergent explicit two-step peer methods
• IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
• Efficient A-stable peer two-step methods
• A class of implicit peer methods for stiff systems
• Extrapolation-based implicit-explicit Peer methods with optimised stability regions
• Extrapolation-based implicit-explicit general linear methods
• Implicit peer methods for large stiff ODE systems
• Adaptive Two-Step Peer Methods for Incompressible Navier–Stokes Equations
• Solving Ordinary Differential Equations I
• Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
• Analysis of Fixed-Stepsize Methods
• On the error of general linear methods for stiff dissipative differential equations
• Parallel Two-Step W-Methods with Peer Variables
• Numerik gewöhnlicher Differentialgleichungen
• General linear methods

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