ordinary-differential-equations

There are 190 repositories under ordinary-differential-equations topic.

  • 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

    Language:Julia1.4k291.2k195

  • Zymrael/awesome-neural-ode

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

    1.2k535140

  • SciML/NeuralPDE.jl

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

    Language:Julia91937334195

  • mpmath/mpmath

    Python library for arbitrary-precision floating-point arithmetic

    Language:Python91740536176

  • SciML/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

    Language:Julia84532391151

  • SciML/SciMLTutorials.jl

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

    Language:CSS7092576129

  • 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)

    Language:Julia51319788195

  • SciML/diffeqpy

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

    Language:Python500238639

  • SciML/DiffEqBase.jl

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

    Language:Julia29920219106

  • shervinea/stanford-cme-102-ordinary-differential-equations

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

    2247074

  • titu1994/tfdiffeq

    Tensorflow implementation of Ordinary Differential Equation Solvers with full GPU support

    Language:Python215131252

  • 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

    Language:Julia2051119278
  • p4pdes

    bueler/p4pdes

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

    Language:C178215767

  • SciML/diffeqr

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

    Language:R136122914
  • Numerical-Analysis-Python

    john-s-butler-dit/Numerical-Analysis-Python

    Python notebooks for Numerical Analysis

    Language:Jupyter Notebook1204030

  • SciML/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

    Language:Julia120136929

  • SciML/SciMLBase.jl

    The Base interface of the SciML ecosystem

    Language:Julia1171213390

  • auto-07p/auto-07p

    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.

    Language:Fortran114193647

  • SciML/ModelingToolkitStandardLibrary.jl

    A standard library of components to model the world and beyond

    Language:Julia103136435

  • pymc-devs/sunode

    Solve ODEs fast, with support for PyMC

    Language:Jupyter Notebook98221810

  • bjodah/pyodesys

    ∫ Straightforward numerical integration of systems of ordinary differential equations

    Language:Python919227

  • planelles20/numerical-methods-fortran

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

    Language:Fortran907218

  • patrick-kidger/FasterNeuralDiffEq

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

    Language:Python85719

  • clegaard/deep_learning_for_dynamical_systems

    Language:Python656019

  • SciML/DiffEqParamEstim.jl

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

    Language:Julia6178034

  • srenevey/ode-solvers

    Numerical methods to solve ordinary differential equations in Rust.

    Language:Rust5641124

  • SciML/GlobalSensitivity.jl

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

    Language:Julia4964421

  • SciML/DiffEqPhysics.jl

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

    Language:Julia48132619

  • JuliaGNI/GeometricIntegrators.jl

    Geometric Numerical Integration in Julia

    Language:Julia464258

  • Parallel-in-Time/pySDC

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

    Language:Jupyter Notebook33139833

  • SciML/DASSL.jl

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

    Language:Julia3261517

  • woodward/integrator

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

    Language:Elixir32410

  • markmbaum/libode

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

    Language:C++29627

  • iliailmer/ParameterEstimation.jl

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

    Language:Julia26668

  • juliagusak/neural-ode-metasolver

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

    Language:Python25401
  • biomass

    biomass-dev/biomass

    A Python Framework for Modeling and Analysis of Signaling Systems

    Language:Python2428012