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Python 23 1 Updated Aug 24, 2023

Code for Lie Symmetries SSL paper

Python 22 2 Updated Mar 19, 2024

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

Python 746 95 Updated Jul 2, 2025

This repository is to prepare for Machine Learning interviews.

1,563 393 Updated May 19, 2019

Julia package for Gaussian quadrature

Julia 317 43 Updated Jan 13, 2024

Must-read Papers on Physics-Informed Neural Networks.

Python 1,208 182 Updated Dec 8, 2023

A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

Julia 28 5 Updated Jul 31, 2024

18.065/18.0651: Matrix Methods in Data Analysis, Signal Processing, and Machine Learning

Jupyter Notebook 167 45 Updated Nov 1, 2024

Differentiable ODE solvers with full GPU support and O(1)-memory backpropagation.

Python 6,034 970 Updated Apr 4, 2025

High-level model-order reduction to automate the acceleration of large-scale simulations

Julia 39 6 Updated Jul 1, 2025

Black-box optimization for Julia

Julia 446 57 Updated Dec 10, 2024

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

Julia 1,089 221 Updated Jul 1, 2025

Optimization functions for Julia

Julia 1,164 231 Updated Jun 12, 2025

Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

Julia 1 Updated May 3, 2022

Learning in infinite dimension with neural operators.

Python 2,749 685 Updated Jul 2, 2025

🏔️Optimization on Riemannian Manifolds in Julia

Julia 363 41 Updated Jul 2, 2025

MATLAB codes for physics-informed dynamic mode decomposition (piDMD)

MATLAB 151 35 Updated Feb 21, 2024

Learning Green's functions of partial differential equations with deep learning.

Python 70 14 Updated Jan 8, 2024

Tutorials and information on the Julia language for MIT numerical-computation courses.

Jupyter Notebook 772 109 Updated Feb 5, 2025

18.337 - Parallel Computing and Scientific Machine Learning

Jupyter Notebook 240 44 Updated Apr 24, 2023

Chemical equilibrium for electrolytes system in pure python.

Python 26 5 Updated Mar 29, 2022

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

Julia 888 159 Updated Apr 28, 2025

Repository for the Universal Differential Equations for Scientific Machine Learning paper, describing a computational basis for high performance SciML

Julia 226 60 Updated Dec 5, 2022

18.S096 - Applications of Scientific Machine Learning

HTML 312 49 Updated Apr 26, 2022

Course 18.S191 at MIT, Fall 2022 - Introduction to computational thinking with Julia

Julia 2,699 490 Updated Mar 21, 2025

Large Eddy Simulation with dedalus

Jupyter Notebook 37 11 Updated Apr 1, 2019

A flexible framework for solving PDEs with modern spectral methods.

Python 581 131 Updated May 28, 2025

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

HTML 1,916 351 Updated Jul 1, 2025

18.335 - Introduction to Numerical Methods course

Jupyter Notebook 538 131 Updated May 3, 2025

18.336 - Fast Methods for Partial Differential and Integral Equations

185 18 Updated May 13, 2024
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