4 papers
Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions
Anchang Bao, Enya Shen, Yongjun Zhang +2
Monte Carlo methods have proven highly effective for elliptic partial differential equations through algorithms such as Walk on Spheres and Walk on Stars, which evaluate solutions…
Monte Carlo PDE Solvers for Nonlinear Radiative Boundary Conditions
Anchang Bao, Enya Shen, Jianmin Wang
Monte Carlo PDE solvers have become increasingly popular for solving heat-related partial differential equations in geometry processing and computer graphics due to their robustnes…
Fast and Robust Point Containment Queries on Trimmed Surface
Anchang Bao, Enya Shen, Jianmin Wang
Point containment queries on trimmed surfaces are fundamental to CAD modeling, solid geometry processing, and surface tessellation. Existing approaches such as ray casting and gene…
Off-Centered WoS-Type Solvers with Statistical Weighting
Anchang Bao, Jie Xu, Enya Shen +1
Stochastic PDE solvers have emerged as a powerful alternative to traditional discretization-based methods for solving partial differential equations (PDEs), especially in geometry…