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.

Surrogate modeling and optimization for scientific machine learning (SciML)

Evolutionary & genetic algorithms for Julia

Modeling and simulation of multidomain engineering systems

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

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

Types and utility functions for summarizing Markov chain Monte Carlo simulations

DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

Julia package for automated Bayesian inference on a factor graph with reactive message passing

Markov chain Monte Carlo (MCMC) for Bayesian analysis in julia

A toolbox for satellite analysis written in julia language.

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

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

Simple chains

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

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

Utility package for accessing common Machine Learning datasets in Julia

Grid-based simulations in Julia

A Julia wrapper for libpq

Tidier data visualization in Julia, modeled after the ggplot2 R package.

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

Raster manipulation for the Julia language

Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains

A Bayesian Analysis Toolkit in Julia

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

Causal inference, graphical models and structure learning in Julia

This library uses the LaTeX package pgfplots to produce plots.

Tools for the exploration of chaos and nonlinear dynamics

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

A Julia package for solving systems of polynomials via homotopy continuation.

A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.

Kernel density estimators for Julia

Fast, general-purpose interactive applications for complex systems

Julia hybrid constraint programming solver enhanced by a reinforcement learning driven search.

Enabling StaticCompiler.jl-based compilation of (some) Julia code to standalone native binaries by avoiding GC allocations and llvmcall-ing all the things!

Geographical plotting utilities for Makie.jl

Graph-related recipes to be used with Plots.jl

Implementations of the models from the Statistical Rethinking book with Turing.jl

Automatic Finite Difference PDE solving with Julia SciML

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