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Search results for differential equations sciml
differential-equations
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73 search results found
Differentialequations.jl
⭐
2,689
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.
Scimlbook
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1,722
Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)
Modelingtoolkit.jl
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1,292
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
Neuralpde.jl
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864
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Scimltutorials.jl
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698
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
Ordinarydiffeq.jl
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479
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
Diffeqpy
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456
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
Catalyst.jl
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402
Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
Datadrivendiffeq.jl
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393
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
Surrogates.jl
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302
Surrogate modeling and optimization for scientific machine learning (SciML)
Scimlsensitivity.jl
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291
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.
Diffeqbase.jl
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282
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
Diffeqoperators.jl
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279
Linear operators for discretizations of differential equations and scientific machine learning (SciML)
Scimlbenchmarks.jl
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279
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
18s096sciml
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268
18.S096 - Applications of Scientific Machine Learning
Diffeqgpu.jl
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261
GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
Diffeqdocs.jl
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251
Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem
Stochasticdiffeq.jl
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229
Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
Linearsolve.jl
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211
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.
Sundials.jl
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200
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
Reservoircomputing.jl
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192
Reservoir computing utilities for scientific machine learning (SciML)
Nonlinearsolve.jl
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154
High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
Diffeqr
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127
Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
Jumpprocesses.jl
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127
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)
Diffeqbayes.jl
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119
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
Scimlbase.jl
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111
The Base interface of the SciML ecosystem
Kinetic.jl
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110
Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
Ode.jl
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106
Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.
Modelingtoolkitstandardlibrary.jl
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89
A standard library of components to model the world and beyond
Fenics.jl
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86
A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
Exponentialutilities.jl
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85
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.
Diffeqcallbacks.jl
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77
A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers
Parameterizedfunctions.jl
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75
A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
Multiscalearrays.jl
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69
A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
Diffeqnoiseprocess.jl
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61
A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)
Highdimpde.jl
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61
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
Scimlexpectations.jl
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61
Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
Simplenonlinearsolve.jl
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57
Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.
Delaydiffeq.jl
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53
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.
Sparsitydetection.jl
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53
Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine learning (SciML)
Cellmltoolkit.jl
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53
CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
Diffeqproblemlibrary.jl
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51
A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools
Odinn.jl
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49
Global glacier model using Universal Differential Equations for climate-glacier interactions
Sciml.ai
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48
The SciML Scientific Machine Learning Software Organization Website
Diffeqphysics.jl
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47
A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)
Diffeqdevtools.jl
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46
Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)
Scimloperators.jl
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41
SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia
Globalsensitivity.jl
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41
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
Boundaryvaluediffeq.jl
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39
Boundary value problem (BVP) solvers for scientific machine learning (SciML)
Helicoptersciml.jl
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37
Helicopter Scientific Machine Learning (SciML) Challenge Problem
Rootedtrees.jl
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36
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)
Sbmltoolkit.jl
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35
SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit
Scimlworkshop.jl
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34
Workshop materials for training in scientific computing and scientific machine learning
Latentdiffeq.jl
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33
Latent Differential Equations models in Julia.
Dassl.jl
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31
Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization
Modelorderreduction.jl
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30
High-level model-order reduction to automate the acceleration of large-scale simulations
Mljc Unito Projectx 2020 Public
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29
Public repository for the proposal “Physics-Informed Machine Learning Simulator for Wildfire Propagation” - MLJC University of Turin - ProjectX2020 Competition (UofT AI)
Autooffload.jl
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29
Automatic GPU, TPU, FPGA, Xeon Phi, Multithreaded, Distributed, etc. offloading for scientific machine learning (SciML) and differential equations
Diffeqonline
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26
It's Angular2 business in the front, and a Julia party in the back! It's scientific machine learning (SciML) for the web
Regneuralde.jl
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25
Official Implementation of "Opening the Blackbox: Accelerating Neural Differential Equations by Regularizing Internal Solver Heuristics" (ICML 2021)
Steadystatediffeq.jl
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25
Solvers for steady states in scientific machine learning (SciML)
Diffeqfinancial.jl
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23
Differential equation problem specifications and scientific machine learning for common financial models
Stochasticdelaydiffeq.jl
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22
Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ecosystem
Diffeqonlineserver
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22
Backend for DiffEqOnline, a webapp for scientific machine learning (SciML)
Simplediffeq.jl
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21
Simple differential equation solvers in native Julia for scientific machine learning (SciML)
Scipydiffeq.jl
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20
Wrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning organization
Scimltutorialsoutput
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18
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
Awesome Scientific Machine Learning
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15
A curated list of awesome Scientific Machine Learning (SciML) papers, resources and software
Tensorflowdiffeq.jl
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14
Using TensorFlow for physics-informed neural networks for scientific machine learning (SciML)
Scimlbenchmarksoutput
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13
SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance
Daskr.jl
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12
Interface to DASKR, a differential algebraic system solver for the SciML scientific machine learning ecosystem
Diffeqmontecarlo.jl
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10
Monte Carlo simulation routines for high-performance parallelization of differential equation solvers and scientific machine learning
Geometricintegratorsdiffeq.jl
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9
Wrappers for GeometricIntegrators.jl into the SciML common interface for scientific machine learning (SciML)
Odeinterfacediffeq.jl
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9
Adds the common API onto ODEInterface classic Fortran methods for the SciML Scientific Machine Learning organization
Diffeqdevdocs.jl
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8
Developer documentation for the SciML scientific machine learning ecosystem's differential equation solvers
Finiteelementdiffeq.jl
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5
Solvers for finite element discretizations of PDEs in the SciML scientific machine learning ecosystem
Bridgediffeq.jl
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5
A thin wrapper over Bridge.jl for the SciML scientific machine learning common interface, enabling new methods for neural stochastic differential equations (neural SDEs)
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