22 citations · 202 across the 36 of their papers we have counts for
5 papers · 1 filter
Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence
Yuan Gao, Jian-Guo Liu
Irreversible drift-diffusion processes are very common in biochemical reactions. They have a non-equilibrium stationary state (invariant measure) which does not satisfy detailed ba…
Inbetweening auto-animation via Fokker-Planck dynamics and thresholding
Yuan Gao, Guangzhen Jin, Jian-Guo Liu
We propose an equilibrium-driven deformation algorithm (EDDA) to simulate the inbetweening transformations starting from an initial image to an equilibrium image, which covers imag…
Data-driven Efficient Solvers for Langevin Dynamics on Manifold in High Dimensions
Yuan Gao, Jian-Guo Liu, Nan Wu
We study the Langevin dynamics of a physical system with manifold structure based on collected sample points $\{\mathsf{x}_i\}_{i=1}^n \subset \mat…
Projection method for droplet dynamics on groove-textured surface with merging and splitting
Yuan Gao, Jian-Guo Liu
The geometric motion of small droplets placed on an impermeable textured substrate is mainly driven by the capillary effect, the competition among surface tensions of three phases…
Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface
Yuan Gao, Jian-Guo Liu
We study the dynamics of a droplet moving on an inclined rough surface in the absence of inertial and viscous stress effects. In this case, the dynamics of the droplet is a purely…