Dependency Packages

NBodySimulator.jl115A differentiable simulator for scientific machine learning (SciML) with Nbody problems, including astrophysical and molecular dynamics

NonlinearSolve.jl112Highperformance and differentiationenabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and NewtonKrylov support.

FunctionalModels.jl111Equationbased modeling and simulations in Julia

DiffEqJump.jl109Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and statedependent rates and mix with differential equations and scientific machine learning (SciML)

JumpProcesses.jl109Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and statedependent rates and mix with differential equations and scientific machine learning (SciML)

ControlSystemIdentification.jl108System Identification toolbox for LTI systems, compatible with ControlSystems.jl

CausalityTools.jl104Algorithms for detecting associations, dynamical influences and causal inference from data.

NetworkDynamics.jl103Julia package for working with Dynamics on Networks.

Causal.jl102Causal.jl  A modeling and simulation framework adopting causal modeling approach.

ODE.jl101Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.

ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Kinetic.jl96Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

Mads.jl94MADS: Model Analysis & Decision Support

SymbolicNumericIntegration.jl93SymbolicNumericIntegration.jl: SymbolicNumerics for Solving Integrals

Nonconvex.jl91Toolbox for nonconvex constrained optimization.

SciMLBase.jl90The Base interface of the SciML ecosystem

LowLevelParticleFilters.jl90State estimation, smoothing and parameter estimation using Kalman and particle filters.

PowerDynamics.jl88Package for dynamical modeling of power grids

TaylorIntegration.jl84ODE integration using Taylor's method, and more, in Julia

ViscousFlow.jl84A framework for simulating viscous incompressible flows about arbitrary body shapes.

ValidatedNumerics.jl81Rigorous floatingpoint calculations with interval arithmetic in Julia

SemanticModels.jl76A julia package for representing and manipulating model semantics

ModelingToolkitStandardLibrary.jl76A standard library of components to model the world and beyond

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 highperformance simulations of astrodynamical models.

EasyModelAnalysis.jl74High level functions for analyzing the output of simulations

ParameterizedFunctions.jl72A simple domainspecific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

RigidBodySim.jl68Simulation and visualization of articulated rigid body systems in Julia

Pathfinder.jl66Preheat your MCMC

Turkie.jl65Turing + Makie = Turkie

Modia3D.jl64Modeling and Simulation of 3D systems

MultiScaleArrays.jl64A framework for developing multiscale arrays for use in scientific machine learning (SciML) simulations

StructuralIdentifiability.jl63Fast and automatic structural identifiability software for ODE systems

IonSim.jl62A simple tool for simulating trapped ion systems

HighDimPDE.jl60A Julia package that breaks down the curse of dimensionality in solving PDEs.

FundamentalsNumericalComputation.jl60Core functions for the Julia (2nd) edition of the text Fundamentals of Numerical Computation, by Driscoll and Braun.

IntervalConstraintProgramming.jl60Calculate rigorously the feasible region for a set of realvalued inequalities with Julia

ClimaCore.jl59CliMA model dycore

DiffEqUncertainty.jl59Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

FMI.jl59FMI.jl is a freetouse software library for the Julia programming language which integrates FMI (fmistandard.org): load or create, parameterize, differentiate and simulate FMUs seamlessly inside the Julia programming language!
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