Analysis of time-stepping methods for the monodomain model

DOI10.1007/s40314-020-01254-zzbMath1463.65243arXiv1710.01106OpenAlexW3045314316MaRDI QIDQ2204153

Charles Pierre, Yves Bourgault, Thomas Roy

Publication date: 15 October 2020

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01106

zbMATH Keywords

absolute stabilitystiff problemscardiac electrophysiologytime-stepping methodsmonodomain model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (5)

An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology ⋮ Arbitrary high-order unconditionally stable methods for reaction-diffusion equations with inhomogeneous boundary condition via deferred correction ⋮ High-Order Operator Splitting for the Bidomain and Monodomain Models ⋮ A curvilinear isogeometric framework for the electromechanical activation of thin muscular tissues ⋮ Moving-habitat models: a numerical approach

Uses Software

• RODAS

Cites Work

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• Solving Ordinary Differential Equations I
• High-Order Time Stepping for the Incompressible Navier--Stokes Equations
• On the accuracy of operator splitting for the monodomain model of electrophysiology
• Semi-Implicit Time-Discretization Schemes for the Bidomain Model
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Computing the Electrical Activity in the Heart
• On the Construction and Comparison of Difference Schemes
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