Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology
DOI10.1553/ETNA_VOL52S342zbMath1451.65081arXiv1712.02260OpenAlexW3039254883MaRDI QIDQ2208926
Yves Coudière, Charles Pierre, Charlie Douanla-Lontsi
Publication date: 28 October 2020
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.02260
stiff equationsstability and convergenceexponential integratorDahlquist stabilityexplicit high-order multistep methods
Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new class of split exponential propagation iterative methods of Runge-Kutta type (sEPIRK) for semilinear systems of odes
- Exponential multistep methods of Adams-type
- Exponential time differencing for stiff systems
- A second-order Magnus-type integrator for nonautonomous parabolic problems
- An efficient generalization of the Rush--Larsen method for solving electro-physiology membrane equations
- An automatic multistep method for solving stiff initial value problems
- A class of nonlinear multistep a-stable numerical methods for solving stiff differential equations
- Exponential Adams-Bashforth integrators for stiff ODEs, application to cardiac electrophysiology
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
- Exponential integrators
- Solving Ordinary Differential Equations I
- A Short Course on Exponential Integrators
- Exponential Integrators for Large Systems of Differential Equations
- On Magnus Integrators for Time-Dependent Schrödinger Equations
- New Adaptive Exponential Propagation Iterative Methods of Runge--Kutta Type
- Exponential Rosenbrock-Type Methods
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
This page was built for publication: Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology
