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.

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

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

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

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

Automatic Finite Difference PDE solving with Julia SciML

Differentiable RayTracing in Julia

Finite Element tools in Julia

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Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

Fermi quantum chemistry program

System Identification toolbox, compatible with ControlSystems.jl

Algorithms from circuit theory to predict connectivity in heterogeneous landscapes

A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics

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

Algorithms and data structures for game theory in Julia

Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Algebraic Multigrid in Julia

Perceptually Uniform Colour Maps for Julia

Divide and Conquer Linear Algebra

Climate science package for Julia

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Roll a window over data; apply a function over the window.

Hydrological modeling

Causal.jl - A modeling and simulation framework adopting causal modeling approach.

State estimation, smoothing and parameter estimation using Kalman and particle filters.

A standard library of components to model the world and beyond

Equation-based modeling and simulations in Julia

Koma is a Pulseq-compatible framework to efficiently simulate Magnetic Resonance Imaging (MRI) acquisitions. The main focus of this package is to simulate general scenarios that could arise in pulse sequence development.

Koma is a Pulseq-compatible framework to efficiently simulate Magnetic Resonance Imaging (MRI) acquisitions. The main focus of this package is to simulate general scenarios that could arise in pulse sequence development.

Starter kit for legendary models

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

Package for dynamical modeling of power grids

MADS: Model Analysis & Decision Support

High-performance reactive message-passing based Bayesian inference engine

Dynamic Time Warping (DTW) and related algorithms in Julia, at Julia speeds