Json.NET is a popular high-performance JSON framework for .NET

An open-source, GPU-accelerated physics simulation engine built upon NVIDIA Warp, specifically targeting roboticists and simulation researchers.

Newton Dynamics is an integrated solution for real time simulation of physics environments.

a lightweight header-only C++17 library of numerical optimization methods for (un-)constrained nonlinear functions and expression templates

A playful, particle-based physics engine designed from the ground up for JavaScript.

OptimLib: a lightweight C++ library of numerical optimization methods for nonlinear functions

A virtual reality interaction system for unity based on physics.

RBDL is a C++ library that contains some essential and efficient rigid body dynamics algorithms such as the Articulated Body Algorithm (ABA) for forward dynamics, Recursive Newton-Euler Algorithm (RNEA) for inverse dynamics, the Composite Rigid Body Algorithm (CRBA) for the efficient computation of the joint space inertia matrix and is also able to compute forward dynamics with external contact constraints and collision impulses. Furthermore it has some basic support for forward and inverse kinematics.

➗ A really micro micro-service for advanced math.

Converters of common Unity types for Newtonsoft.Json. Goes hand in hand with jilleJr/Newtonsoft.Json-for-Unity

Newton and Quasi-Newton optimization with PyTorch

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An open source thermodynamic modeling package completed on behalf of NASA. The Toolbox for the Modeling and Analysis of Thermodynamic Systems (T-MATS) package offers a MATLAB/Simulink toolbox that gives a developer the ability to create simulations of such thermodynamic systems as turbomachinery and gas turbines. Keywords: TMATS, Control System, Numerical Methods, Newton-Raphson, Jacobian Calculation, Propulsion, Aircraft Engine, Jet, Turbofan, Turbojet, Compressor, Turbine, Nozzle, Inlet, open source

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

C# OpenGL Particle Simulation, GPU accelerated

Source code for the paper "Quasi-Newton Solver for Robust Non-Rigid Registration" (CVPR2020 Oral).

[CVPR'20] Fast-MVSNet: Sparse-to-Dense Multi-View Stereo With Learned Propagation and Gauss-Newton Refinement

Python machine learning applications in image processing, recommender system, matrix completion, netflix problem and algorithm implementations including Co-clustering, Funk SVD, SVD++, Non-negative Matrix Factorization, Koren Neighborhood Model, Koren Integrated Model, Dawid-Skene, Platt-Burges, Expectation Maximization, Factor Analysis, ISTA, FISTA, ADMM, Gaussian Mixture Model, OPTICS, DBSCAN, Random Forest, Decision Tree, Support Vector Machine, Independent Component Analysis, Latent Semantic Indexing, Principal Component Analysis, Singular Value Decomposition, K Nearest Neighbors, K Means, Naïve Bayes Mixture Model, Gaussian Discriminant Analysis, Newton Method, Coordinate Descent, Gradient Descent, Elastic Net Regression, Ridge Regression, Lasso Regression, Least Squares, Logistic Regression, Linear Regression

Python based dashboard for real-time Electrical Impedance Tomography including image reconstruction using Back Projection, Graz Consensus and Gauss Newton methods

Json.NET Schema is a powerful, complete and easy to use JSON Schema framework for .NET

Bayes-Newton—A Gaussian process library in JAX, with a unifying view of approximate Bayesian inference as variants of Newton's method.

SOMA BVH to humanoid robot motion retargeting library built with Newton and NVIDIA Warp

Apollo: An Adaptive Parameter-wise Diagonal Quasi-Newton Method for Nonconvex Stochastic Optimization

MATLAB implementations of a variety of nonlinear programming algorithms.

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[ICLR2026] NewtonBench: Benchmarking Generalizable Scientific Law Discovery in LLM Agents

This is a cross-platform, CUDA-based C++ library for general-purpose, unconstrained nonlinear optimization on the GPU. It implements the L-BFGS (“Limited-memory Broyden-Fletcher-Goldfarb-Shanno“) method, a popular Quasi-Newton variant with a low memory footprint.

[ICLR 2026] NewtonGen: Physics-Consistent and Controllable Text-to-Video Generation via Neural Newtonian Dynamics

Fast Polar Decomposition for Muon

A Full-Newton Finite Element Program for Free and Moving Boundary Problems with Coupled Fluid/Solid Momentum, Energy, Mass, and Chemical Species Transport