Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions

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  • Опубликовано: 1 окт 2024

Комментарии • 9

  • @Kram1032
    @Kram1032 Год назад +3

    Dang, you've come so far in such a short time!
    And all those Recent Works at the end are amazing too.
    Y'all really seem to have opened up a rabbit hole by rediscovering, modernizing, and extending this walk-on-spheres algorithm

  • @jurajfulir1232
    @jurajfulir1232 Год назад +2

    Amazing work on the method, but also on its presentation! It was a real delight learning about all the different connections with similar methods and the demonstrations of the wide and important applications it enables. Really inspiring work!

  • @thouys9069
    @thouys9069 Год назад

    Love it, thank you! Also thank you and Crane for the BFF repo, great software!

  • @matterwave2331
    @matterwave2331 Год назад

    I fall in love with MC method coding effusion simulation in molecular flow (for R&D purposes). This is beyond my reach but still very interesting.
    Thanks for the nice talk

  • @srinathisweary
    @srinathisweary Год назад

    This is so interesting, I'd love to compare it with our codes for distributed boundary element methods (BEMPP) for general 3D problems. Do you guys have a reference implementation?

    • @rohansawhney1583
      @rohansawhney1583  Год назад +3

      Hi, you can find the reference C++ implementation here: github.com/rohan-sawhney/zombie, GPU impl to follow

  • @andresross1537
    @andresross1537 10 месяцев назад

    Hi, so I'm confused by something. How are you storing the representation of a piece of toast or some other random shape if not with a mesh?

    • @rohansawhney1583
      @rohansawhney1583  10 месяцев назад +1

      A lot of the examples in the talk use triangle meshes to represent the boundary of the domain. Unlike standard grid-based PDE solvers, they do not however use e.g., tetrahedral meshes for the interior of the domain---with MC solvers, the interior does not have to be meshed.

    • @andresross1537
      @andresross1537 10 месяцев назад

      @@rohansawhney1583 ok understood, thank you!