boundary element method 1finite element method 1membrane dynamics 1multiscale coupling 1stokes flow 1
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math.PR2026
Error analysis of an acceleration corrected diffusion approximation of Langevin dynamics with background flow
Yoichiro Mori, Chanoknun Sintavanuruk, Truong-Son P. Van
We consider the problem of approximating the Langevin dynamics of inertial particles being transported by a background flow. In particular, we study an acceleration corrected advec…
math.PR2025
Strong convergence with error estimates for a stochastic compartmental model of electrophysiology
Wai-Tong Louis Fan, Joshua A. McGinnis, Yoichiro Mori
This paper presents a rigorous mathematical analysis, alongside simulation studies, of a spatially extended stochastic electrophysiology model, the Hodgkin-Huxley model of the squi…