Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software

Density-functional toolkit

Geometric Deep Learning for Flux

A Julia/JuMP Package for Power Network Optimization

An abstraction layer for mathematical optimization solvers.

Reverse Mode Automatic Differentiation for Julia

A Julia package for Gaussian Processes

Modeling and simulation of multidomain engineering systems

Computer vision models for Flux

Molecular simulation in Julia

Evolutionary & genetic algorithms for Julia

Surrogate modeling and optimization for scientific machine learning (SciML)

Linear operators for discretizations of differential equations and scientific machine learning (SciML)

Julia solvers for systems of nonlinear equations and mixed complementarity problems

Simple curve fitting in Julia

A fast trajectory optimization library written in Julia

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

COSMO: Accelerated ADMM-based solver for convex conic optimisation problems (LP, QP, SOCP, SDP, ExpCP, PowCP). Automatic chordal decomposition of sparse semidefinite programs.

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

Propagation of distributions by Monte-Carlo sampling: Real number types with uncertainty represented by samples.

A Julia package to perform Bifurcation Analysis

Finite element toolbox for Julia

StateSpaceModels.jl is a Julia package for time-series analysis using state-space models.

Arrays with arbitrarily nested named components.

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.

Package to call the NLopt nonlinear-optimization library from the Julia language

A differentiable physics engine for robotics

Stochastic Dual Dynamic Programming in Julia

Julia for optimization simulation and modeling of PowerSystems. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.

A Julia/JuMP-based Global Optimization Solver for Non-convex Programs

Scalable Symbolic-Numeric Set Computations

GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

Fast jacobian computation through sparsity exploitation and matrix coloring

Multi-threaded BLAS-like library that provides pure Julia matrix multiplication

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

Stan.jl illustrates the usage of the 'single method' packages, e.g. StanSample, StanOptimize, etc.

Simple chains

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