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Projects in Awesome Lists tagged with ode

A curated list of projects in awesome lists tagged with ode .

https://github.com/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.

dae dde delay-differential-equations differential-algebraic-equations differential-equations differentialequations dynamical-systems julia neural-differential-equations numerical ode python r scientific scientific-machine-learning sciml sde spde stochastic-differential-equations stochastic-processes

Last synced: 13 May 2025

https://github.com/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.

dae dde delay-differential-equations differential-algebraic-equations differential-equations differentialequations dynamical-systems julia neural-differential-equations numerical ode python r scientific scientific-machine-learning sciml sde spde stochastic-differential-equations stochastic-processes

Last synced: 04 Apr 2025

https://github.com/sciml/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

acausal computer-algebra dae dde delay-differential-equations differential-equations equation-based julia nonlinear-programming ode optimization ordinary-differential-equations pde scientific-machine-learning sciml sde stochastic-differential-equations symbolic symbolic-computation symbolic-numerics

Last synced: 12 Dec 2025

https://github.com/SciML/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

acausal computer-algebra dae dde delay-differential-equations differential-equations equation-based julia nonlinear-programming ode optimization ordinary-differential-equations pde scientific-machine-learning sciml sde stochastic-differential-equations symbolic symbolic-computation symbolic-numerics

Last synced: 27 Mar 2025

https://github.com/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.

artificial-intelligence boundary-value-problem deep-learning differential-equations initial-value-problem mathematical-modelling neural-networks ode odes pde-solver physics-informed-neural-networks pinn pypi pytorch scientific-computing time-series

Last synced: 08 Jul 2025

https://github.com/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.

artificial-intelligence boundary-value-problem deep-learning differential-equations initial-value-problem mathematical-modelling neural-networks ode odes pde-solver physics-informed-neural-networks pinn pypi pytorch scientific-computing time-series

Last synced: 04 May 2025

https://github.com/SciML/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)

adaptive differential-equations differentialequations event-handling hacktoberfest high-performance julia ode ordinary-differential-equations scientific-machine-learning sciml

Last synced: 22 Jul 2025

https://github.com/sciml/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)

adaptive differential-equations differentialequations event-handling hacktoberfest high-performance julia ode ordinary-differential-equations scientific-machine-learning sciml

Last synced: 14 May 2025

https://github.com/korsbo/latexify.jl

Convert julia objects to LaTeX equations, arrays or other environments.

equation julia julia-library latex latex-maths ode

Last synced: 14 May 2025

https://github.com/korsbo/Latexify.jl

Convert julia objects to LaTeX equations, arrays or other environments.

equation julia julia-library latex latex-maths ode

Last synced: 22 Jul 2025

https://github.com/sciml/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.

biology chemical-reactions differential-equations dsl gillespie-algorithm julia ode rate-laws reaction-network scientific-machine-learning sciml sde simulation systems-biology systems-biology-simulation

Last synced: 14 May 2025

https://github.com/SciML/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.

biology chemical-reactions differential-equations dsl gillespie-algorithm julia ode rate-laws reaction-network scientific-machine-learning sciml sde simulation systems-biology systems-biology-simulation

Last synced: 30 Mar 2025

https://github.com/sciml/datadrivendiffeq.jl

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

differential-equations julia ode scientific-machine-learning sciml

Last synced: 15 May 2025

https://github.com/SciML/DataDrivenDiffEq.jl

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

differential-equations julia ode scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/sciml/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.

adjoint backpropogation dae dde differential-equations differentialequations hacktoberfest neural-ode neural-sde ode scientific-machine-learning sciml sde sensitivity-analysis

Last synced: 11 Dec 2025

https://github.com/sciml/scimlbenchmarks.jl

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

ai ai-for-science benchmark dae differential-equations differentialequations jax julia matlab nerual-differential-equations neural-ode ode partial-differential-equations pde python pytorch scientific-machine-learning sciml sde

Last synced: 08 Oct 2025

https://github.com/SciML/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.

adjoint backpropogation dae dde differential-equations differentialequations hacktoberfest neural-ode neural-sde ode scientific-machine-learning sciml sde sensitivity-analysis

Last synced: 04 May 2025

https://github.com/analysiscenter/pydens

PyDEns is a framework for solving Ordinary and Partial Differential Equations (ODEs & PDEs) using neural networks

deep-learning differential-equations neural-networks numerical-methods ode ode-solver partial-differential-equations pde-solver solving-pdes

Last synced: 15 Dec 2025

https://github.com/sciml/diffeqdocs.jl

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

dae dde differential-equations hacktoberfest neural-ode ode physics-informed-learning scientific-machine-learning sciml sde

Last synced: 04 Sep 2025

https://github.com/sciml/diffeqgpu.jl

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

dae dde differential-equations differentialequations gpu gpu-parallelism neural-differential-equations neural-ode ode scientific-machine-learning sciml sde

Last synced: 04 Sep 2025

https://github.com/SciML/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

arkode clang cvode dae differential-algebraic-equations differential-equations differentialequations hacktoberfest hybrid-differential-equation ida idas julia kinsol ode ordinary-differential-equations scientific-machine-learning sciml sensitivity-analysis sundials sundials-libraries

Last synced: 22 Jul 2025

https://github.com/tzaeschke/ode4j

Java 3D Physics Engine & Library

3d 3d-game-engine java java-ports ode physics stepper turbulenz-engine

Last synced: 12 Apr 2025

https://github.com/metrumresearchgroup/mrgsolve

Simulate from ODE-based population PK/PD and QSP models in R

mrgsolve ode r rstats

Last synced: 21 Oct 2025

https://github.com/nathanaelbosch/ProbNumDiffEq.jl

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

differential-equations hacktoberfest julia ode ode-solver probabilistic-models probabilistic-numerics

Last synced: 04 May 2025

https://github.com/nathanaelbosch/probnumdiffeq.jl

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

differential-equations hacktoberfest julia ode ode-solver probabilistic-models probabilistic-numerics

Last synced: 11 Dec 2025

https://github.com/sciml/diffeqcallbacks.jl

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

callback dae dde differential-equations julia neural-ode ode scientific-machine-learning sciml sde

Last synced: 27 Jul 2025

https://github.com/sciml/scimlexpectations.jl

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

differential-equations differentialequations integration julia ode scientific-machine-learning sciml uncertainty-quantification uq

Last synced: 09 Sep 2025

https://github.com/sciml/cellmltoolkit.jl

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

cellml differential-equations julia ode physiology scientific-machine-learning sciml systems-biology

Last synced: 06 Apr 2025

https://github.com/sciml/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.

adaptive dde delay-differential-equations differential-equations differentialequations julia ode scientific-machine-learning sciml solvers stiff

Last synced: 04 Sep 2025

https://github.com/littleredcomputer/odex-js

Bulirsch-Stoer integration of systems of ordinary differential equations in JavaScript

differential-equations ode ode-solver odex solver

Last synced: 16 Mar 2025

https://github.com/jacobwilliams/dop853

Modern Fortran Edition of Hairer's DOP853 ODE Solver. An explicit Runge-Kutta method of order 8(5,3) for problems y'=f(x,y); with dense output of order 7

dop853 fortran fortran-package-manager ode runge-kutta

Last synced: 01 Aug 2025

https://github.com/apache/ode

Mirror of Apache ODE

java network-server ode xml

Last synced: 08 Oct 2025

https://github.com/jacobwilliams/odepack

Work in Progress to refactor and modernize the ODEPACK Library

fortran ode ode-solver odepack

Last synced: 20 Feb 2025

https://github.com/sciml/sbmltoolkit.jl

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

chemical-reaction-networks differential-equations gillespie-algorithm julia ode quantitative-systems-pharmacology sbml sciml systems-biology

Last synced: 06 May 2025

https://github.com/williamdsw/saroo-configuration-list

Multiple configurations files for Sega Saturn Games to working with SAROO

configuration everdrive mod ode saroo saturn sega sega-saturn

Last synced: 05 Apr 2025

https://github.com/warrenweckesser/odeintw

odeintw provides a wrapper of scipy.integrate.odeint that allows it to handle complex and matrix differential equations.

differential-equations ode python scipy

Last synced: 09 Apr 2025

https://github.com/auralius/LuGre

A full reconstruction of the paper: A new model for control systems with friction (Canudas de Wit et al., 1995, IEEE Transactions on Automatic Control)

friction lugre matlab modeling ode paper-reproduction pid-control

Last synced: 14 Apr 2025

https://github.com/jacobwilliams/ddeabm

Modern Fortran implementation of the DDEABM Adams-Bashforth algorithm

adams-bashforth fortran fortran-package-manager ode root-finding slatec

Last synced: 06 Oct 2025

https://github.com/auralius/lugre

A full reconstruction of the paper: A new model for control systems with friction (Canudas de Wit et al., 1995, IEEE Transactions on Automatic Control)

friction lugre matlab modeling ode paper-reproduction pid-control

Last synced: 01 Aug 2025

https://github.com/sbmlteam/sbml-test-suite

The SBML Test Suite is a conformance testing system. It allows developers and users to test the degree and correctness of the SBML support provided in a software package.

ode sbml sbml-models simulation stochastic systems-biology test-automation testing testing-framework testing-tools

Last synced: 25 Dec 2025

https://github.com/jonasbreuling/scipy_dae

Python implementation of solvers for differential algebraic equation's (DAE's) that should be added to scipy one day.

bdf constraints dae differential-algebraic-equations differential-equations ida implicit implicit-differential-equations navier-stokes-equations ode python radau scipy step-size sundials

Last synced: 12 Apr 2025

https://github.com/prs-eth/odecrop

[TGRS21] Crop Classification under Varying Cloud Cover with Neural Ordinary Differential Equations

differential-equations gru lstm node ode ode-model rnn

Last synced: 10 Apr 2025

https://github.com/williamdsw/saroo-backgrounds

Background images and songs for SAROO (>= firmware v0.5)

background flashdrive gif image ode pcm saroo saturn sega sega-saturn segasaturn

Last synced: 05 Apr 2025

https://github.com/fedebotu/optimal-control-exercises

Exercise solutions for Daniel Liberzon's "Calculus of Variations and Optimal Control Theory: A Concise Introduction" book and other optimal control problems

coursework exercise-solutions hamiltonian inverted-pendulum kaist lagrangian lqr ode optimal-control optimal-control-exercises

Last synced: 09 Apr 2025

https://github.com/ivan-pi/stiff3

Adaptive solver for stiff systems of ODEs using semi-implicit Runge-Kutta method of third order

adaptive differential equation fortran ode solver stiff

Last synced: 06 Jan 2026

https://github.com/ChristopherRabotin/ode

An ordinary differential equation solving library in golang.

differential-equations golang multivariate ode solving-library

Last synced: 14 Mar 2025

https://github.com/christopherrabotin/ode

An ordinary differential equation solving library in golang.

differential-equations golang multivariate ode solving-library

Last synced: 23 Mar 2025

https://github.com/switwu/ode-dingtongren-solutions

常微分方程(丁同仁、李承治著)习题解

latex maths ode

Last synced: 29 Oct 2025

https://github.com/microno95/desolver

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

initial-value-problem numerical-integrators numerical-methods numpy ode ordinary-differential-equations python pytorch

Last synced: 08 Oct 2025

https://github.com/dilawar/libsoda-cxx

LSODA solver in C++

cpp11 lsoda numerical-methods ode solver

Last synced: 12 May 2025

https://github.com/auralius/phase_plot

Phase portrait plot for SECOND and THIRD order ODE

matlab ode phase-plane phase-plot phase-portrait

Last synced: 01 Aug 2025

https://github.com/x3042/exactodereduction.jl

Exact reduction of ODE models via linear transformations

differential-equations dimensionality-reduction julia ode ode-model

Last synced: 10 Apr 2025

https://github.com/sbmlteam/moccasin

MOCCASIN translates basic ODE-based MATLAB models of biological processes into SBML format.

conversion differential-equations matlab ode ode-model python sbml systems-biology

Last synced: 17 Dec 2025

https://github.com/sj14/ode

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

go ode ordinary-differential-equations

Last synced: 27 Mar 2025

https://github.com/finsberg/gotranx

Next generation ODE translator

code-generation gotran ode parser parsing

Last synced: 01 May 2025

https://github.com/osanj/spring-interpolator

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

animation dynamic-systems ode ordinary-differential-equations runge-kutta-4

Last synced: 25 Sep 2025

https://github.com/sciml/basemodelica.jl

Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem

dae differential-equations julia modelica ode sciml symbolic-numeric-computing

Last synced: 13 Apr 2025

https://github.com/jacobwilliams/rksuite

Unofficial mirror of RKSUITE http://www.netlib.org/ode/rksuite/

fortran ode runge-kutta

Last synced: 05 Jul 2025

https://github.com/fjebaker/zigode

⚡️ Ordinary differential equations in Zig.

differential-equations ode ode-solver ordinary-differential-equations solvers tsit5 zig

Last synced: 07 Apr 2025

https://github.com/paulflang/sbml2julia

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.

julia modelling ode optimization ordinary-differential-equations sbml sbml-model systems-biology

Last synced: 15 Apr 2025