#Differential-equations

Showing 27 of 27 repositories tagged #differential-equations, ranked by stars

SciML
SciML
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.

Score
100
★ 3.1k ⑂ 249 +2/day
Julia
patrick-kidger
patrick-kidger
diffrax

Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/

Score
100
★ 2.1k ⑂ 186 +3/day
Python
google-research
google-research
torchsde

Differentiable SDE solvers with GPU support and efficient sensitivity analysis.

Score
62
★ 1.7k ⑂ 227 +1/day
Python
SciML
SciML
NeuralPDE.jl

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

Score
92
★ 1.2k ⑂ 243 +1/day
Julia
NeuroDiffGym
NeuroDiffGym
neurodiffeq

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

Score
85
★ 788 ⑂ 104
Python
mathLab
mathLab
PINA

Physics-Informed Neural networks for Advanced modeling

Score
80
★ 773 ⑂ 107 +2/day
Python
SciML
SciML
SciMLTutorials.jl

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

Score
60
★ 740 ⑂ 127
CSS
patrick-kidger
patrick-kidger
NeuralCDE

Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)

Score
38
★ 712 ⑂ 76 +1/day
Python
patrick-kidger
patrick-kidger
torchcde

Differentiable controlled differential equation solvers for PyTorch with GPU support and memory-efficient adjoint backpropagation.

Score
46
★ 484 ⑂ 50
Python
SciML
SciML
ComponentArrays.jl

Arrays with arbitrarily nested named components.

Score
77
★ 366 ⑂ 40 +2/day
Julia
SciML
SciML
ReservoirComputing.jl

Reservoir computing utilities for scientific machine learning (SciML)

Score
69
★ 228 ⑂ 49
Julia
cpmech
cpmech
russell

Rust Scientific Library. ODE, DAE (Runge-Kutta), and PDE solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers (MUMPS, UMFPACK). Probability distributions. Tensor calculus. Numerical continuation.

Score
0
★ 189 ⑂ 15 +2/day
Rust
skoohy
skoohy
GPT-PINN

Generative Pre-Trained Physics-Informed Neural Networks Implementation

Score
23
★ 122 ⑂ 25 +1/day
Python
pyrates-neuroscience
pyrates-neuroscience
PyRates

Open-source, graph-based Python code generator and analysis toolbox for dynamical systems (pre-implemented and custom models). Most pre-implemented models belong to the family of neural population models.

Score
20
★ 92 ⑂ 14
Python
patrick-kidger
patrick-kidger
FasterNeuralDiffEq

Code for "'Hey, that's not an ODE:' Faster ODE Adjoints via Seminorms" (ICML 2021)

Score
15
★ 92 ⑂ 10
Python
bluescarni
bluescarni
heyoka.py

Python library for ODE integration via Taylor's method and LLVM

Score
40
★ 89 ⑂ 14 +1/day
Python
samholt
samholt
NeuralLaplace

Neural Laplace: Differentiable Laplace Reconstructions for modelling any time observation with O(1) complexity.

Score
8
★ 84 ⑂ 12 +1/day
Python
SciML
SciML
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

Score
54
★ 84 ⑂ 10
Julia
Eric-Bradford
Eric-Bradford
SDD-GP-MPC

This repository contains the source code for "Stochastic data-driven model predictive control using Gaussian processes" (SDD-GP-MPC).

Score
0
★ 69 ⑂ 8
Python
fsprojects
fsprojects
Furnace

Production-grade ML - F# power & precision guiding Torch performance

Score
50
★ 59 ⑂ 5
F#
SciML
SciML
DiffEqDevTools.jl

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

Score
0
★ 53 ⑂ 36
Julia
MachineLearningJournalClub
MachineLearningJournalClub
MLJC-UniTo-ProjectX-2020-public

Public repository for the proposal “Physics-Informed Machine Learning Simulator for Wildfire Propagation” - MLJC University of Turin - ProjectX2020 Competition (UofT AI)

Score
0
★ 48 ⑂ 10
Jupyter Notebook
JuliaReach
JuliaReach
ClosedLoopReachability.jl

Reachability analysis for closed-loop control systems in Julia

Score
31
★ 47 ⑂ 4
Polar
Nesador95
Nesador95
Computational-Physics-Solutions

This project's aim is to provide a sample of my abilities in the form of a challange. The challange is to provide a solution to all exercises in the book Computational Physics by Mark Newman

Score
25
★ 45 ⑂ 9
Python
bjpcjp
bjpcjp
Numeric-Python

Covers a variety of computational topics including integration, differential equations, statistical analysis and signal processing.

Score
75
★ 15 ⑂ 6 +15/day
Jupyter Notebook
engineersCode
engineersCode
EngComp3_tourdynamics

Tour of the dynamics of change and motion using computational thinking with Python

Score
100
★ 14 ⑂ 10
Jupyter Notebook
speediedan
speediedan
covid19

A set of "real-time" covid19 county-level dashboards w/ national and state choropleths for monitoring localized infection resurgences as distancing, testing and tracing measures evolve.

Score
0
★ 10 ⑂ 1
Python
Related Topics
#machine-learning#deep-learning#neural-networks#dynamical-systems#neural-differential-equations#pytorch#ode#python#scientific-machine-learning#julia#sciml#deep-neural-networks

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