Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Event Name/Location

Joint Mathematics Meetings/ Seattle, WA

Event Name

Joint Mathematics Meetings

Event Location

Washington State Convention Center, Seattle WA

Document Type

Conference Presentation

Publication Date

2016

Date Range

January 6-9, 2016

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.

ORCID ID

0000-0001-7817-4308

Included in

Mathematics Commons

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