Dependency Packages
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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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NonlinearSolve.jl112High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
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FunctionalModels.jl111Equation-based modeling and simulations in Julia
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DiffEqJump.jl109Build 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)
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JumpProcesses.jl109Build 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)
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ControlSystemIdentification.jl108System Identification toolbox for LTI systems, compatible with ControlSystems.jl
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CausalityTools.jl104Algorithms for detecting associations, dynamical influences and causal inference from data.
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NetworkDynamics.jl103Julia package for working with Dynamics on Networks.
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Causal.jl102Causal.jl - A modeling and simulation framework adopting causal modeling approach.
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ODE.jl101Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.
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ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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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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Mads.jl94MADS: Model Analysis & Decision Support
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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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SciMLBase.jl90The Base interface of the SciML ecosystem
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LowLevelParticleFilters.jl90State estimation, smoothing and parameter estimation using Kalman and particle filters.
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PowerDynamics.jl88Package for dynamical modeling of power grids
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TaylorIntegration.jl84ODE integration using Taylor's method, and more, in Julia
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ViscousFlow.jl84A framework for simulating viscous incompressible flows about arbitrary body shapes.
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ValidatedNumerics.jl81Rigorous floating-point calculations with interval arithmetic in Julia
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SemanticModels.jl76A julia package for representing and manipulating model semantics
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ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond
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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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RigidBodySim.jl68Simulation and visualization of articulated rigid body systems in Julia
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Pathfinder.jl66Preheat your MCMC
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Turkie.jl65Turing + Makie = Turkie
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Modia3D.jl64Modeling and Simulation of 3D systems
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MultiScaleArrays.jl64A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
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StructuralIdentifiability.jl63Fast and automatic structural identifiability software for ODE systems
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IonSim.jl62A simple tool for simulating trapped ion systems
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HighDimPDE.jl60A Julia package that breaks down the curse of dimensionality in solving PDEs.
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FundamentalsNumericalComputation.jl60Core functions for the Julia (2nd) edition of the text Fundamentals of Numerical Computation, by Driscoll and Braun.
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IntervalConstraintProgramming.jl60Calculate rigorously the feasible region for a set of real-valued inequalities with Julia
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ClimaCore.jl59CliMA model dycore
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DiffEqUncertainty.jl59Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
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FMI.jl59FMI.jl is a free-to-use software library for the Julia programming language which integrates FMI (fmi-standard.org): load or create, parameterize, differentiate and simulate FMUs seamlessly inside the Julia programming language!
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