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This study presents a Feynman-Kac path-integral implementation for solving the Dirichlet problem for Poisson's equation. The algorithm is a modified ''walk on spheres'' (WOS) that includes the Feynman-Kac path-integral contribution for the source term. In our approach, we use an h-conditioned Green's function instead of simulating Brownian trajectories in detail to implement this path-integral computation...
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