Awesome GitHub RepositoriesPhysics and PDE Solvers

Warp is a Python framework that JIT-compiles Python functions into CUDA kernels for GPU-accelerated parallel computation, with built-in automatic differentiation and multi-framework array interoperability. At its core, it provides a GPU kernel compilation system that enables writing and executing custom GPU kernels directly from Python, while supporting automatic gradient computation through those kernels for integration with machine learning pipelines. The framework also includes tile-based cooperative computing, where thread blocks partition into tiles for shared-memory and tensor-core opera

DeepXDE is a scientific machine learning library and deep learning PDE solver used to compute solutions for forward and inverse ordinary, partial, and integro-differential equations. It functions as a physics-informed neural network library that embeds physical laws and boundary conditions directly into the neural network loss function. The project provides a deep operator network framework for learning operator mappings that approximate relationships between functions in multiphysics problems. It is implemented as a multi-backend tensor library, allowing the system to switch between differen

This repository serves as an educational resource and framework for scientific computing, focusing on the intersection of machine learning and physical system simulation. It provides a collection of instructional materials, including handwritten notes and code examples, designed to explain the mathematical foundations of probabilistic modeling and algorithmic implementation. The project functions as a physics simulation framework, utilizing finite element discretization and automatic differentiation to model fluid and structural mechanics. By integrating these numerical methods with iterative

Implicit Geometric Regularization for Learning Shapes