Monte Carlo physical simulation

Abstract: Accurately analyzing large amounts of geometric data is critical for many scientific and engineering applications. Techniques based onpartial differential equations (PDEs)provide powerful tools for analyzing physical systems, but conventional solvers are not at a stage where they “just work” on problems of real-world complexity. A constant challenge is spatial discretization, which divides the domain into a high-quality volumetric mesh or background grid for PDE-based analysis. Unfortunately, this approach does not scale well to modern computer architectures, and as such, there remains a large divide between our ability tovisualizeandanalyzethe natural world.