High-order accurate difference schemes for the Hodgkin-Huxley equations
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Publication:348078
DOI10.1016/j.jcp.2013.06.035zbMath1349.92037arXiv1209.5687OpenAlexW2168299999MaRDI QIDQ348078
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.5687
Neural biology (92C20) Dynamical systems in biology (37N25) Computational methods for problems pertaining to biology (92-08)
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Cites Work
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- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- Interface procedures for finite difference approximations of the advection-diffusion equation
- Stable Robin solid wall boundary conditions for the Navier-Stokes equations
- Stable and accurate artificial dissipation
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions
- A stable and high-order accurate conjugate heat transfer problem
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
- Summation by parts operators for finite difference approximations of second derivatives
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
- Mathematical physiology. I: Cellular physiology
- A maximum principle for an explicit finite difference scheme approximating the Hodgkin-Huxley model
- The Backward Euler Method for Numerical Solution of the Hodgkin–Huxley Equations of Nerve Conduction
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
- High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
