On the accuracy of operator splitting for the monodomain model of electrophysiology

DOI10.1080/00207160701458724zbMath1115.92006OpenAlexW2092915009MaRDI QIDQ3595055

Aslak Tveito, Glenn Terje Lines, H. Joachim Schroll

Publication date: 10 August 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701458724

zbMATH Keywords

error boundoperator splittingbidomain equationsmonodomain modelBeeler-Reuter equationselectrophysiology of the heart

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biophysics (92C05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (4)

Computing optimal properties of drugs using mathematical models of single channel dynamics ⋮ Analysis of time-stepping methods for the monodomain model ⋮ Existence of excitation waves for a collection of cardiomyocytes electrically coupled to fibroblasts ⋮ A note on a method for determining advantageous properties of an anti-arrhythmic drug based on a mathematical model of cardiac cells

Cites Work

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• Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
• Nth-Order Operator Splitting Schemes and Nonreversible Systems
• Computing the Electrical Activity in the Heart
• On the Construction and Comparison of Difference Schemes
• Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation

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