Browsing Waterloo Research by Subject "mathematics of computing"
Now showing items 1-3 of 3
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A Monte Carlo Method for Fluid Simulation
(Association for Computing Machinery, 2022-12)We present a novel Monte Carlo-based fluid simulation approach capable of pointwise and stochastic estimation of fluid motion. Drawing on the Feynman-Kac representation of the vorticity transport equation, we propose a ... -
A Monte Carlo Method for Fluid Simulation
(Association for Computing Machinery, 2022-12)We present a novel Monte Carlo-based fluid simulation approach capable of pointwise and stochastic estimation of fluid motion. Drawing on the Feynman-Kac representation of the vorticity transport equation, we propose a ... -
A Practical Walk-on-Boundary Method for Boundary Value Problems
(Association for Computing Machinery, 2023-08)We introduce the walk-on-boundary (WoB) method for solving boundary value problems to computer graphics. WoB is a grid-free Monte Carlo solver for certain classes of second order partial differential equations. A similar ...