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    33
  • Rank 783,877 (Top 16 %)
  • Language
    Julia
  • License
    MIT License
  • Created 12 months ago
  • Updated 3 months ago

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Repository Details

A course on composable system modeling, differential-algebraic equations, acausal modeling, compilers for simulation, and building digital twins of real-world devices

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1

DifferentialEquations.jl

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
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ModelingToolkit.jl

An 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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NeuralPDE.jl

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DiffEqFlux.jl

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
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6

SciMLTutorials.jl

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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Optimization.jl

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.
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8

OrdinaryDiffEq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
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9

diffeqpy

Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
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10

Catalyst.jl

Chemical 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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11

DataDrivenDiffEq.jl

Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
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12

SciMLSensitivity.jl

A 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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330
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13

Surrogates.jl

Surrogate modeling and optimization for scientific machine learning (SciML)
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14

SciMLBenchmarks.jl

Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
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15

DiffEqOperators.jl

Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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16

DiffEqGPU.jl

GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
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17

FluxNeuralOperators.jl

DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
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18

DiffEqDocs.jl

Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem
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262
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19

DiffEqBase.jl

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
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254
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20

LinearSolve.jl

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.
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245
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21

Integrals.jl

A common interface for quadrature and numerical integration for the SciML scientific machine learning organization
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226
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22

NonlinearSolve.jl

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
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226
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23

DataInterpolations.jl

A library of data interpolation and smoothing functions
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24

SciMLStyle

A style guide for stylish Julia developers
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25

StochasticDiffEq.jl

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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26

ReservoirComputing.jl

Reservoir computing utilities for scientific machine learning (SciML)
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27

Sundials.jl

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
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195
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28

RecursiveArrayTools.jl

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications
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167
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29

MethodOfLines.jl

Automatic Finite Difference PDE solving with Julia SciML
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30

diffeqr

Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
R
140
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31

JumpProcesses.jl

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)
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140
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32

SciMLBase.jl

The Base interface of the SciML ecosystem
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129
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33

NBodySimulator.jl

A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics
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128
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34

ColPrac

Contributor's Guide on Collaborative Practices for Community Packages
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123
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35

DiffEqBayes.jl

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
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121
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36

LabelledArrays.jl

Arrays which also have a label for each element for easy scientific machine learning (SciML)
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120
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37

PolyChaos.jl

A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with polynomial chaos expansions.
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116
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38

SymbolicNumericIntegration.jl

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
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116
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39

ModelingToolkitStandardLibrary.jl

A standard library of components to model the world and beyond
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40

PreallocationTools.jl

Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes
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111
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41

StructuralIdentifiability.jl

Fast and automatic structural identifiability software for ODE systems
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110
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42

ODE.jl

Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.
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43

QuasiMonteCarlo.jl

Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)
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102
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44

RuntimeGeneratedFunctions.jl

Functions generated at runtime without world-age issues or overhead
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45

FEniCS.jl

A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
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46

DiffEqCallbacks.jl

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

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.
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48

EllipsisNotation.jl

Julia-based implementation of ellipsis array indexing notation `..`
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49

EasyModelAnalysis.jl

High level functions for analyzing the output of simulations
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50

AutoOptimize.jl

Automatic optimization and parallelization for Scientific Machine Learning (SciML)
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51

ParameterizedFunctions.jl

A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
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52

HighDimPDE.jl

A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality
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53

SciMLExpectations.jl

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
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54

MultiScaleArrays.jl

A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
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55

SimpleNonlinearSolve.jl

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.
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63
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56

DiffEqNoiseProcess.jl

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)
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63
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57

CellMLToolkit.jl

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
Julia
62
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58

SciMLDocs

Global documentation for the Julia SciML Scientific Machine Learning Organization
Julia
60
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59

SparsityDetection.jl

Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine learning (SciML)
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59
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60

DelayDiffEq.jl

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.
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58
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61

DiffEqProblemLibrary.jl

A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools
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62

sciml.ai

The SciML Scientific Machine Learning Software Organization Website
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63

DiffEqParamEstim.jl

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions
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64

Static.jl

Static types useful for dispatch and generated functions.
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52
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65

GlobalSensitivity.jl

Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
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51
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66

DeepEquilibriumNetworks.jl

Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.
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67

MinimallyDisruptiveCurves.jl

Finds relationships between the parameters of a mathematical model
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68

DiffEqPhysics.jl

A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)
Julia
48
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69

OperatorLearning.jl

No need to train, he's a smooth operator
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44
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70

MuladdMacro.jl

This package contains a macro for converting expressions to use muladd calls and fused-multiply-add (FMA) operations for high-performance in the SciML scientific machine learning ecosystem
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44
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71

DiffEqDevTools.jl

Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)
Julia
43
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72

BoundaryValueDiffEq.jl

Boundary value problem (BVP) solvers for scientific machine learning (SciML)
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42
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73

SciMLOperators.jl

SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia
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42
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74

SBMLToolkit.jl

SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit
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41
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75

HelicopterSciML.jl

Helicopter Scientific Machine Learning (SciML) Challenge Problem
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76

ADTypes.jl

Repository for automatic differentiation backend types
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77

RootedTrees.jl

A collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)
Julia
37
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78

SciMLWorkshop.jl

Workshop materials for training in scientific computing and scientific machine learning
Julia
36
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79

AutoOffload.jl

Automatic GPU, TPU, FPGA, Xeon Phi, Multithreaded, Distributed, etc. offloading for scientific machine learning (SciML) and differential equations
Julia
35
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80

ModelOrderReduction.jl

High-level model-order reduction to automate the acceleration of large-scale simulations
Julia
33
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81

DifferenceEquations.jl

Solving difference equations with DifferenceEquations.jl and the SciML ecosystem.
Julia
32
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82

DASSL.jl

Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization
Julia
31
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83

FiniteVolumeMethod.jl

Solver for two-dimensional conservation equations using the finite volume method in Julia.
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31
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84

SteadyStateDiffEq.jl

Solvers for steady states in scientific machine learning (SciML)
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30
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85

TruncatedStacktraces.jl

Simpler stacktraces for the Julia Programming Language
Julia
28
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86

PDESystemLibrary.jl

A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia
Julia
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87

DiffEqOnline

It's Angular2 business in the front, and a Julia party in the back! It's scientific machine learning (SciML) for the web
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88

ReactionNetworkImporters.jl

Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
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26
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89

StochasticDelayDiffEq.jl

Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ecosystem
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25
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90

DiffEqOnlineServer

Backend for DiffEqOnline, a webapp for scientific machine learning (SciML)
Julia
25
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91

MathML.jl

Julia MathML parser
Julia
23
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92

IRKGaussLegendre.jl

Implicit Runge-Kutta Gauss-Legendre 16th order (Julia)
Jupyter Notebook
23
star
93

SimpleDiffEq.jl

Simple differential equation solvers in native Julia for scientific machine learning (SciML)
Julia
22
star
94

DiffEqFinancial.jl

Differential equation problem specifications and scientific machine learning for common financial models
Julia
22
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95

ModelingToolkitNeuralNets.jl

Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)
Julia
22
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96

SciPyDiffEq.jl

Wrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning organization
Julia
21
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97

SciMLTutorialsOutput

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
HTML
20
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98

OptimalControl.jl

A component of the SciML scientific machine learning ecosystem for optimal control
Julia
20
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99

MATLABDiffEq.jl

Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem
Julia
20
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100

IfElse.jl

Under some conditions you may need this function
Julia
19
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