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The fastest open-source C++17 optimization library for unconstrained nonlinear problems. Header-only, single dependency. Highest reliability, composable function expressions, unconstrained and constrained solvers.

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

Numerical simulations using flexible Lattice Boltzmann solvers

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

Official development repository for SUNDIALS - a SUite of Nonlinear and DIfferential/ALgebraic equation Solvers. Pull requests are welcome for bug fixes and minor changes.

An automatic code generator for nonlinear model predictive control (NMPC) and the continuation/GMRES method (C/GMRES) based numerical solvers for NMPC

Geophysical fluid dynamics pseudospectral solvers with Julia and FourierFlows.jl.

Parallel solvers for sparse linear systems featuring multigrid methods.

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

Linear Programming for Rust, with a user-friendly API. This crate allows modeling LP problems, and lets you solve them with various solvers.

Rust Scientific Library. ODE, DAE, and PDE solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers. Probability distributions. Tensor analysis. Numerical continuation.

Benchmark for quadratic programming solvers available in Python

A library for human kinematic motion and numerical optimization solvers to apply human motion