5 papers
Curvature Effects on Boundary Accumulation of Self-Propelled Particles: A Fokker-Planck Approach
Jingyi Fu, Jinqi Liu, Benoit Perthame +1
It is well known that self-propelled particles tend to accumulate near boundaries. Although the influence of boundary geometry on this accumulation has been extensively studied usi…
Random Source Iteration Method: Mitigating the Ray Effect in the Discrete Ordinates Method
Jingyi Fu, Lei Li, Min Tang
The commonly used velocity discretization for simulating the radiative transport equation (RTE) is the discrete ordinates method (DOM). One of the long-standing drawbacks of DOM is…
An Adaptive Angular Domain Compression Scheme For Solving Multiscale Radiative Transfer Equation
Qinchen Song, Jingyi Fu, Min Tang +1
When dealing with the steady-state multiscale radiative transfer equation (RTE) with heterogeneous coefficients, spatially localized low-rank structures are present in the angular…
Confined run-and-tumble model with boundary aggregation: long time behavior and convergence to the confined Fokker-Planck model
Jingyi Fu, Jiuyang Liang, Benoit Perthame +1
The motile micro-organisms such as E. coli, sperm, or some seaweed are usually modelled by self-propelled particles that move with the run-and-tumble process. Individual-based stoc…
A fast offline/online forward solver for stationary transport equation with multiple inflow boundary conditions and varying coefficients
Jingyi Fu, Min Tang
It is of great interest to solve the inverse problem of stationary radiative transport equation (RTE) in optical tomography. The standard way is to formulate the inverse problem in…