Dependency Packages
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DifferentialEquations.jl2503Multi-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.
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DSGE.jl798Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)
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DiffEqFlux.jl771Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
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Javis.jl769Julia Animations and Visualizations
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NeuralNetDiffEq.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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NeuralPDE.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DynamicalSystems.jl725Award winning software library for nonlinear dynamics and nonlinear timeseries analysis
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DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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QuantumOptics.jl459Library for the numerical simulation of closed as well as open quantum systems.
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ControlSystems.jl430A Control Systems Toolbox for Julia
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OrdinaryDiffEq.jl425High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
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StaticCompiler.jl395Compiles Julia code to a standalone library (experimental)
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SymbolicRegression.jl377Distributed High-Performance symbolic regression in Julia
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Trixi.jl363Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia
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DiffEqBiological.jl342Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software
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Modia.jl298Modeling and simulation of multidomain engineering systems
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DiffEqOperators.jl279Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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DiffEqSensitivity.jl248A 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.
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SciMLSensitivity.jl248A 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.
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DiffEqGPU.jl202GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
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Octavian.jl201Multi-threaded BLAS-like library that provides pure Julia matrix multiplication
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StochasticDiffEq.jl200Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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SimpleChains.jl195Simple chains
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ChaosTools.jl183Tools for the exploration of chaos and nonlinear dynamics
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PGFPlots.jl182This library uses the LaTeX package pgfplots to produce plots.
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LinearSolve.jl178LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.
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ReachabilityAnalysis.jl170Methods to compute sets of states reachable by dynamical systems
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HomotopyContinuation.jl159A Julia package for solving systems of polynomials via homotopy continuation.
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TuringModels.jl153Implementations of the models from the Statistical Rethinking book with Turing.jl
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EvoTrees.jl143Boosted trees in Julia
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SeaPearl.jl141Julia hybrid constraint programming solver enhanced by a reinforcement learning driven search.
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RayTracer.jl141Differentiable RayTracing in Julia
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StaticTools.jl134Enabling StaticCompiler.jl-based compilation of (some) Julia code to standalone native binaries by avoiding GC allocations and llvmcall-ing all the things!
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VoronoiFVM.jl134Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method
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FinEtools.jl133Finite Element tools in Julia
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MethodOfLines.jl118Automatic Finite Difference PDE solving with Julia SciML
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Fermi.jl116Fermi quantum chemistry program
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NBodySimulator.jl115A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics
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ImplicitGlobalGrid.jl115Almost trivial distributed parallelization of stencil-based GPU and CPU applications on a regular staggered grid
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Gaius.jl113Divide and Conquer Linear Algebra
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