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Top Pkgs Packages

1

DifferentialEquations

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components

2

DiffEqFlux

Universal 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

3

ModelingToolkit

A 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

4

OrdinaryDiffEq

High performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

5

DiffEqBiological

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software

6

Sundials

Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

7

DiffEqOperators

Linear operators for discretizations of differential equations and scientific machine learning (SciML)

8

StochasticDiffEq

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

9

ODE

Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML)

10

DiffEqBayes

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

11

RecursiveArrayTools

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

12

DiffEqBase

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

13

NBodySimulator

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

14

ParameterizedFunctions

A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

15

LabelledArrays

Arrays which also have a label for each element for easy scientific machine learning (SciML)

16

DiffEqSensitivity

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, and more for ODEs, SDEs, DDEs, DAEs, etc.

17

FEniCS

A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language

18

MultiScaleArrays

A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

19

DiffEqPhysics

A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

20

ArrayInterface

Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

21

DiffEqUncertainty

Uncertainty quantification for scientific machine learning (SciML) and differential equations

22

DiffEqParamEstim

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

23

DiffEqDevTools

Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

24

DiffEqJump

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)

25

DiffEqCallbacks

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

26

DASSL

Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization

27

DiffEqNoiseProcess

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

28

DelayDiffEq

Delay differential equation solvers for the SciML scientific machine learning ecosystem

29

ExponentialUtilities

Utility functions for exponential integrators for the SciML scientific machine learning ecosystem

30

DiffEqProblemLibrary

A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools