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math.NA2026
Weighted Laplacian Flow: A Deterministic Particle Flow with Exponential Convergence
Weiye Gan, Tangjun Wang, Zuoqiang Shi
We introduce weighted Laplacian flow (WLF), a deterministic particle-flow framework for sampling from a target distribution known only up to normalization. The proposed method evol…
math.AP2026
A Nonlocal -Laplacian Interface Model with Sharp Interface
Kehan Shi, Zuoqiang Shi, Tangjun Wang
We propose an energy-based nonlocal -Laplacian interface problem. Neumann interface conditions are naturally formulated via the energy, while Dirichlet conditions are enforced t…