Grid-Free Monte Carlo for PDEs with Spatially Varying Coefficients

31 January 2022

Papers citing "Grid-Free Monte Carlo for PDEs with Spatially Varying Coefficients"

7 / 7 papers shown

Title
Solving Poisson Equations using Neural Walk-on-Spheres Hong Chul Nam Julius Berner Anima Anandkumar 29 3 0 05 Jun 2024
Robust Biharmonic Skinning Using Geometric Fields Ana Dodik Vincent Sitzmann Justin Solomon Oded Stein 3DH 42 2 0 01 Jun 2024
A Practical Walk-on-Boundary Method for Boundary Value Problems Ryusuke Sugimoto T. Chen Yi Jiang Christopher Batty T. Hachisuka 23 23 0 08 May 2023
On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods Artur P. Toshev Ludger Paehler A. Panizza Nikolaus A. Adams AI4CE PINN 11 5 0 31 Mar 2023
Boundary Value Caching for Walk on Spheres Bailey Miller Rohan Sawhney Keenan Crane Ioannis Gkioulekas 6 23 0 23 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 49 4 0 10 Feb 2023
Solving Inverse PDE Problems using Grid-Free Monte Carlo Estimators Ekrem Fatih Yilmazer Delio Vicini Wenzel Jakob 27 11 0 03 Aug 2022