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math.NA2025
The Closest Point Method for Surface PDEs with General Boundary Conditions
Tony Wong, Colin B. Macdonald, Byungjoon Lee
We generalize the closest point method (CPM) to solve surface partial differential equations with general boundary conditions. The proposed extrapolation method provides a unified…
math.NA2019
Simulation and Optimization of Mean First Passage Time Problems in 2-D using Numerical Embedded Methods and Perturbation Theory
Sarafa Iyaniwura, Tony Wong, Michael J. Ward +1
We develop novel numerical methods and perturbation approaches to determine the mean first passage time (MFPT) for a Brownian particle to be captured by either small stationary or…