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61 search results found

Modelingtoolkit.jl ⭐ 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

Awesome Neural Ode ⭐ 1,145

A collection of resources regarding the interplay between differential equations, deep learning, dynamical systems, control and numerical methods.

Python library for arbitrary-precision floating-point arithmetic

Neuralpde.jl ⭐ 864

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

Diffeqflux.jl ⭐ 810

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

Scimltutorials.jl ⭐ 698

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

Ordinarydiffeq.jl ⭐ 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 ⭐ 456

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

Diffeqbase.jl ⭐ 282

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

Sundials.jl ⭐ 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

C and Python examples from my book on using PETSc and Firedrake to solve PDEs

Diffeqr ⭐ 127

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

Diffeqbayes.jl ⭐ 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

Tfdiffeq ⭐ 118

Tensorflow implementation of Ordinary Differential Equation Solvers with full GPU support

Scimlbase.jl ⭐ 111

The Base interface of the SciML ecosystem

Auto 07p ⭐ 110

AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community.

Numerical Analysis Python ⭐ 103

Python notebooks for Numerical Analysis

Solve ODEs fast, with support for PyMC

Modelingtoolkitstandardlibrary.jl ⭐ 89

A standard library of components to model the world and beyond

Pyodesys ⭐ 84

∫ Straightforward numerical integration of systems of ordinary differential equations

Stanford Cme 102 Ordinary Differential Equations ⭐ 77

VIP cheatsheets for Stanford's CME 102 Ordinary Differential Equations for Engineers

Diffeqparamestim.jl ⭐ 60

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

Numerical Methods Fortran ⭐ 54

Solving linear, nonlinear equations, ordinary differential equations, ... using numerical methods in fortran

Fasterneuraldiffeq ⭐ 52

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

Ode Solvers ⭐ 48

Numerical methods to solve ordinary differential equations in Rust.

Diffeqphysics.jl ⭐ 47

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

Geometricintegrators.jl ⭐ 46

Geometric Numerical Integration in Julia

Globalsensitivity.jl ⭐ 41

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

Deep_learning_for_dynamical_systems ⭐ 31

Dassl.jl ⭐ 31

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

pySDC is a Python implementation of the spectral deferred correction (SDC) approach and its flavors, esp. the multilevel extension MLSDC and PFASST.

Neural Ode Metasolver ⭐ 24

Supplementary code for the paper "Meta-Solver for Neural Ordinary Differential Equations" https://arxiv.org/abs/2103.08561

Parameterestimation.jl ⭐ 24

ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

A Python Framework for Modeling and Analysis of Signaling Systems

Integrator ⭐ 23

A numerical integrator written in Elixir for the solution of sets of non-stiff ordinary differential equations (ODEs).

The Systems Biology Simulation Core Library (SBSCL) provides an efficient and exhaustive Java implementation of methods to interpret the content of models encoded in the Systems Biology Markup Language (SBML) and its numerical solution.

Easy-to-compile, high-order ODE solvers as C++ classes

Pyodeint ⭐ 17

Python wrapper around odeint (from the boost C++ library)

Numerical Analysis ⭐ 15

MATLAB/Octave Codes for Numerical analysis techniques

Integral ⭐ 14

The INTEGRAL library provides routines for the integration of functions of various types. Additionally, the INTEGRAL library provides routines for the integration of systems of ordinary differential equations (ODEs).

Numerical Methods (NM) for BE Electrical II Year / II Part, Email: [email protected]

Porthamiltoniannn ⭐ 11

Port-Hamiltonian Approach to Neural Network Training

A package for the Go programming language to solve ordinary differential equations.

Desolver ⭐ 10

A Python library for solving Initial Value Problems using various numerical integration methods.

🦋 hundun is a python library for the exploration of chaos.

Anti Symmetricdgn ⭐ 10

Official code repository for the papers "Anti-Symmetric DGN: a stable architecture for Deep Graph Networks" accepted at ICLR 2023; "Non-Dissipative Propagation by Anti-Symmetric Deep Graph Networks"; and "Non-Dissipative Propagation by Randomized Anti-Symmetric Deep Graph Networks"

Numerical Methods in SciPy

Pseudo Hamiltonian Neural Networks ⭐ 10

The package phlearn for modelling pseudo-Hamiltonian systems by pseudo-Hamiltonian neural networks (PHNN), for ODEs and PDEs

Control_neuralode ⭐ 9

On the use of NeuralODEs as optimal control policies: I.O. Sandoval, P. Petsagkourakis, E. A. del Rio-Chanona, “Neural ODEs as Feedback Policies for Nonlinear Optimal Control” The 22nd World Congress of the International Federation of Automatic Control (IFAC 2023)

Conceptual Design And Application Of Insect Bioinspired Fwmav ⭐ 8

Bio-insect flapping wing micro aerial vehicle (FWMAV) is a kind of centimeter-scale air-flying robot which imitates the flapping-wing motion pattern of flying insects in order to realize flying ability and agile maneuverability similar to flapping-winged flying insects. Because of its future broad application prospects in the field of military and civilian, at present, the development of bio-insect FWMAV has become a hot research topic of some important scientific research institutions and units

Neural Ode Norm ⭐ 8

Models and code for the ICLR 2020 workshop paper "Towards Understanding Normalization in Neural ODEs"

Simulating and Optimising Dynamical Models in Python 3

ODE system solver using dG(q), time-discontinuous Galerkin with Lobatto basis.

Diffeqzoo ⭐ 7

A zoo of implementations of differential equation problems in NumPy and JAX. Oscillators, chemical reactions, n-body problems, epidemiological models, IVPs, BVPs, and more.

SODECL is a library of ordinary differential equation (ODE) and stochastic differential equation (SDE) solvers in OpenCL.

Adv Optimization Physics Py ⭐ 6

🌌🛩 𝗻𝘂𝗺𝗲𝗿𝗶𝗰𝗮𝗹 𝗺𝗲𝘁𝗵𝗼𝗱𝘀 𝗳𝗼𝗿 𝗽𝗵𝘆𝘀𝗶𝗰𝘀: 𝗱𝗶𝗳𝗳𝗲𝗿𝗲𝗻𝘁𝗶𝗮𝘁𝗶𝗼𝗻, 𝗼𝗿𝗱𝗶𝗻𝗮𝗿𝘆, 𝗮𝗱𝘃𝗲𝗰𝘁𝗶𝗼𝗻 𝗮𝗻𝗱 𝗵𝘆𝗽𝗲𝗿𝗯𝗼𝗹𝗶𝗰 𝗽𝗮𝗿𝘁𝗶𝗮𝗹 𝗱𝗶𝗳𝗳𝗲𝗿𝗲𝗻𝘁𝗶𝗮𝗹 𝗲𝗾𝘀

Phase Space ⭐ 6

Realtime 3-dimensional phase portraits in phase space

Spring Interpolator ⭐ 6

An Animation-Interpolator, "reverse-engineered" from facebook/rebound

Diffeq Js ⭐ 5

Javascript library for defining and solving DAE equations efficiently using WebAssembly

Sbmlinterface.jl ⭐ 5

Interface between the Systems Biology Markup Language and Julia

Sbml2julia ⭐ 5

A tool to for optimizing parameters of ordinary differential equation (ODE) models. SBML2Julia translates a model from SBML/PEtab format into Julia for Mathematical Programming (JuMP), performs the optimization task and returns the results.

1-61 of 61 search results

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