Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations

Julienne Kabre

Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations

Julienne Kabre

Department of Mathematics

Research output: Contribution to conference › Presentation

Abstract

Preliminary report.The Poisson-Nernst-Planck equations are a system of nonlinear partial differential equations that describe flow of charged particles in solution. In particular, we are interested in the transport of ions in the biological membrane proteins (ion channels). This work is about the design of numerical schemes that preserve exactly (up to roundoff error) a discretized form of the energy dynamics of the system. We will present a scheme that achieves the goal of preserving the energy dissipation law and some preliminary numerical results.

Original language	American English
State	Published - Jan 1 2016
Event	Joint Mathematics Meetings - Washington State Convention Center, Seattle, United States Duration: Jan 6 2016 → Jan 9 2016

Conference

Conference	Joint Mathematics Meetings
Country/Territory	United States
City	Seattle
Period	1/6/16 → 1/9/16

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Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Eq

http://nsuworks.nova.edu/cnso_math_facpres/428

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title = "Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations",

abstract = "Preliminary report.The Poisson-Nernst-Planck equations are a system of nonlinear partial differential equations that describe flow of charged particles in solution. In particular, we are interested in the transport of ions in the biological membrane proteins (ion channels). This work is about the design of numerical schemes that preserve exactly (up to roundoff error) a discretized form of the energy dynamics of the system. We will present a scheme that achieves the goal of preserving the energy dissipation law and some preliminary numerical results.",

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AU - Kabre, Julienne

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N2 - Preliminary report.The Poisson-Nernst-Planck equations are a system of nonlinear partial differential equations that describe flow of charged particles in solution. In particular, we are interested in the transport of ions in the biological membrane proteins (ion channels). This work is about the design of numerical schemes that preserve exactly (up to roundoff error) a discretized form of the energy dynamics of the system. We will present a scheme that achieves the goal of preserving the energy dissipation law and some preliminary numerical results.

AB - Preliminary report.The Poisson-Nernst-Planck equations are a system of nonlinear partial differential equations that describe flow of charged particles in solution. In particular, we are interested in the transport of ions in the biological membrane proteins (ion channels). This work is about the design of numerical schemes that preserve exactly (up to roundoff error) a discretized form of the energy dynamics of the system. We will present a scheme that achieves the goal of preserving the energy dissipation law and some preliminary numerical results.

M3 - Presentation

T2 - Joint Mathematics Meetings

Y2 - 6 January 2016 through 9 January 2016

ER -

Energy-Conserving Numerical Scheme for the Poisson-Nerst-Plank Equations

Abstract

Conference

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