Popular GitHub Repositories for Parabolic Equations

pix2tex: Using a ViT to convert images of equations into LaTeX code.

Learning in infinite dimension with neural operators.

PyTorch implementation for Score-Based Generative Modeling through Stochastic Differential Equations (ICLR 2021, Oral)

Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

Official code for Score-Based Generative Modeling through Stochastic Differential Equations (ICLR 2021, Oral)

Differentiable SDE solvers with GPU support and efficient sensitivity analysis.

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

A PyTorch library entirely dedicated to neural differential equations, implicit models and related numerical methods

translate scientific papers in latex, especially arxiv papers

PyTorch implementation for SDEdit: Image Synthesis and Editing with Stochastic Differential Equations

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Brian is a free, open source simulator for spiking neural networks.

PDEBench: An Extensive Benchmark for Scientific Machine Learning

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

Physics-Informed Neural networks for Advanced modeling