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Top Pkgs Packages

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DifferentialEquations

Multi-language suite for high-performance solvers of differential equations

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DiffEqFlux

DifferentialEquations.jl + Flux.jl = Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers

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ModelingToolkit

A toolkit for modeling and creating DSLs for Scientific Computing in Julia

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OrdinaryDiffEq

DiffEq solvers for ordinary differential equations

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Sundials

Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA).

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ODE

Assorted basic Ordinary Differential Equation solvers

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DiffEqBiological

DiffEq related functionality for defining biological models

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DiffEqOperators

Linear operators for discretizations of differential equations

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StochasticDiffEq

DiffEq solvers for stochastic differential equations

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DiffEqBayes

Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations

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DiffEqBase

The lightweight Base library for shared types and functionality.

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ParameterizedFunctions

Functions with parameters for differential equations

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RecursiveArrayTools

Tools for easily handling objects like arrays of arrays and deeper nestings

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LabelledArrays

Arrays which also have a label for each element

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FEniCS

A wrapper for the FEniCS Finite Element library

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MultiScaleArrays

A framework for developing multi-scale arrays for use in scientific computing packages

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DiffEqPhysics

A library for building differential equations arising from physical problems

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DiffEqParamEstim

A component of the DiffEq ecosystem for parameter estimation

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DiffEqDevTools

Benchmarking, testing, and development tools for differential equations

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DiffEqSensitivity

A component of the DiffEq ecosystem for sensitivity analysis

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DASSL

Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF)

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NBodySimulator

A simulator for N-body problems, including astrophysical and molecular dynamics

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DiffEqJump

Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates

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BoundaryValueDiffEq

Boundary value problem (BVP) solvers for the DifferentialEquations.jl ecosystem

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ExponentialUtilities

Utility functions for exponential integrators

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ArrayInterface

Designs for new Base array interface primitives

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DelayDiffEq

DiffEq solvers for delay differential equations

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DiffEqCallbacks

A library of useful callbacks for DiffEq solvers

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DiffEqFinancial

Differential equation problem specifications for common financial models

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DiffEqMonteCarlo

Monte Carlo simulation routines for JuliaDiffEq solvers