Research Overview

Focus Areas

  • Numerical Methods for PDEs: Time integration methods (temporally adaptive Multirate Infinitesimal (MRI) methods, Strong Stability Preserving (SSP) methods) Matched Interface and Boundary (MIB) method, Ray-Casting MIB scheme.
  • Scientific Computing: SUNDIALS/ARKODE development, biomolecular simulations, and electrostatic analysis.
  • Mathematical Biology: Poisson-Boltzmann Equation.

Software Contributions

GX

GPU-based nonlinear gyrokinetic code for low-frequency plasma turbulence

SUNDIALS

SUite of Nonlinear and DIfferential/ALgebraic Equation Solvers

GitHub Project Website Documentation

Nonlinear electrostatic free energy solver for Kirkwood sphere

A MATLAB code that solves the nonlinear Poisson-Boltzmann Equation for a Kirkwood sphere with a charge at its center to calculate electrostatic free energy.

Download Code (.m)

Please cite the following when using the Kirkwood Sphere code:

S. Amihere, W. Geng, and S. Zhao,Benchmarking electrostatic free energy of the nonlinear Poisson–Boltzmann model for the Kirkwood sphere. Journal of Communications in Information and Systems, 22(3), 305-315, (2022).