Dependency Packages
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ModelingToolkit.jl1212An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
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Symbolics.jl1169A fast and modern CAS for a fast and modern language.
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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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NeuralNetDiffEq.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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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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ApproxFun.jl486Julia package for function approximation
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DataDrivenDiffEq.jl372Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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Catalyst.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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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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TopOpt.jl141A beautifully Julian topology optimization package.
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VoronoiFVM.jl134Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method
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MethodOfLines.jl118Automatic Finite Difference PDE solving with Julia SciML
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DiffEqBayes.jl117Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning
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FunctionalModels.jl111Equation-based modeling and simulations in Julia
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ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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Kinetic.jl96Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
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SymbolicNumericIntegration.jl93SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
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Nonconvex.jl91Toolbox for non-convex constrained optimization.
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PowerDynamics.jl88Package for dynamical modeling of power grids
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ValidatedNumerics.jl81Rigorous floating-point calculations with interval arithmetic in Julia
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ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond
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ReactiveMP.jl74High-performance reactive message-passing based Bayesian inference engine
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OrbitalTrajectories.jl74OrbitalTrajectories.jl is a modern orbital trajectory design, optimisation, and analysis library for Julia, providing methods and tools for designing spacecraft orbits and transfers via high-performance simulations of astrodynamical models.
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EasyModelAnalysis.jl74High level functions for analyzing the output of simulations
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ParameterizedFunctions.jl72A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
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RxInfer.jl69Julia package for automated Bayesian inference on a factor graph with reactive message passing
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StructuralIdentifiability.jl63Fast and automatic structural identifiability software for ODE systems
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DomainSets.jl60A Julia package for describing domains in Euclidean space
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IntervalConstraintProgramming.jl60Calculate rigorously the feasible region for a set of real-valued inequalities with Julia
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AtomicGraphNets.jl58Atomic graph models for molecules and crystals in Julia
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SingularIntegralEquations.jl57Julia package for solving singular integral equations
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ContactImplicitMPC.jl55Fast contact-implicit model predictive control for robotic systems that make and break contact with their environments.
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ReactionMechanismSimulator.jl54The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms
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QuantumCumulants.jl52Generalized mean-field equations in open quantum systems
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CellMLToolkit.jl51CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
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ReversePropagation.jl48-
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Conductor.jl47Choo-choo
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PETLION.jl47High-performance simulations of the Porous Electrode Theory for Li-ion batteries
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CALIPSO.jl45Conic Augmented Lagrangian Interior-Point SOlver
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