3 papers
math.NA2026
A Convergent Reaction-Drift-Diffusion Master Equation with Interaction Potentials
Max Heldman, Samuel A. Isaacson
We extend the convergent reaction-diffusion master equation (CRDME) framework on unstructured grids to include two-body interaction potentials between particles. Such interactions…
math.NA2024
A monotone finite element method for reaction-drift-diffusion equations with discontinuous reaction coefficients
Max Heldman
We prove an abstract convergence result for a family of dual-mesh based quadrature rules on tensor products of simplical meshes. In the context of the multilinear tensor-product fi…
math.PR2023
Mean field limits of particle-based stochastic reaction-drift-diffusion models
Max Heldman, Samuel A. Isaacson, Qianhan Liu +1
We consider particle-based stochastic reaction-drift-diffusion models where particles move via diffusion and drift induced by one- and two-body potential interactions. The dynamics…