GitHub

zwicker-group/py-pde

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...
GitHub

Poisson PDE Solver with PETSc

This project solves the two-dimensional Poisson equation on a unit square using second-order finite differences. Two implementations are provided: A Python reference solver that relies on NumPy and ...
IEEE

PDE-Based Deployment of Multiagents Measuring Relative Position to One Neighbor

Abstract: We develop a PDE-based approach to multi-agent deployment where each agent measures its relative position to only one neighbor. First, we show that such systems can be modeled by a ...
IEEE

PDE-Based Deployment of Heterogeneous Nonlinear Multiagents: A Single-Point Control Scheme

Abstract: This article develops a methodology employing partial differential equations (PDEs) to facilitate the exponential deployment of large-scale heterogeneous nonlinear multiagent systems (MASs).
www.cs.cmu.edu

Monte Carlo Geometry Processing:

@article{Sawhney:2020:MCG, author = {Sawhney, Rohan and Crane, Keenan}, title = {Monte Carlo Geometry Processing: A Grid-Free Approach to PDE-Based Methods on ...