Equation-based modeling and simulations in Julia

Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.

Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

Unitary and Lindbladian evolution in Julia

Julia package for tensor contractions and related operations

Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization

Julia AMPL Models Conforming to NLPModels.jl

Linear Operators for Julia

Fast image quilting simulation solver for the GeoStats.jl framework

XGBoost Julia Package

A Julia package for numerical computation in quantum information theory

Rigorous floating-point calculations with interval arithmetic in Julia

A Control Systems Toolbox for Julia

Julia's CUTEst Interface

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The JuliaFEM software library is a framework that allows for the distributed processing of large Finite Element Models across clusters of computers using simple programming models. It is designed to scale up from single servers to thousands of machines, each offering local computation and storage.

Data Structures for Optimization Models

Koç University deep learning framework.

A workbench for Quantum Chemistry and Quantum Physics in Julia

A Julia wrapper for TensorFlow

Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

Piecewise Deterministic Markov Processes in Julia

Programs modeled after "Numerical Methods for Engineers" by D.V. Griffiths and I.M. Smith

Library for the numerical simulation of closed as well as open quantum systems.

Entropic Cone approximation and optimization

The automatically differentiable and GPU-compatible toolkit for CMB analysis.

Tools for developing nonlinear optimization solvers.

Implementation of SDDP (Stochastic Dual Dynamic Programming) using the StructJuMP modeling interface

Simulate quantum systems consisting of many spins interacting via dipole-dipole interaction

Robot Motion Estimate: Tools, Variables, and Factors for SLAM in robotics; also see Caesar.jl.

Robust robotic localization and mapping, together with NavAbility(TM). Reach out to info@wherewhen.ai for help.

Clique recycling non-Gaussian (multi-modal) factor graph solver; also see Caesar.jl.

Bayesian inference with probabilistic programming.

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.

Learning Dynamic Movement Primitives in Julia

Julia support for native CUDA programming

Julia Library for Interatomic Potentials

Julia port of the Python autograd package.

ODE integration using Taylor's method, and more, in Julia

Solve non-linear HJB equations.