differentialequations
There are 1 repository under differentialequations topic.
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.
Language:Julia 3025Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Language:Julia 1135Pre-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
neural-odeneural-sdeneural-pdeneural-ddeneural-differential-equationsstiff-odeordinary-differential-equationsstochastic-differential-equationsdelay-differential-equationspartial-differential-equationsneural-networksdifferentialequationsdifferential-equationsscientific-mlscientific-aineural-jump-diffusionsneural-sdesscientific-machine-learningpinnphysics-informed-learningLanguage:Julia 901Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
Language:CSS 736High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
Language:Julia 608Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
Language:Python 583A 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.
Language:Julia 369The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
Language:Julia 347- ComponentArrays.jl
Arrays with arbitrarily nested named components.
Language:Julia 337 Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
Language:MATLAB 334GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
Language:Julia 310Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
Language:Julia 304Linear operators for discretizations of differential equations and scientific machine learning (SciML)
Language:Julia 283Julia interface to Sundials, including a nonlinear solver (KINSOL), ODEs (CVODE and ARKODE), and DAEs (IDA)
Language:Julia 210The Base interface of the SciML ecosystem
Language:Julia 168- AMICI
AMICI-dev / AMICI
High-performance sensitivity analysis for large ordinary differential equation models
Language:C++ 127 Fast and automatic structural identifiability software for ODE systems
Language:Julia 125A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
Language:Julia 106A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools
Language:Julia 85A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations
Language:Julia 77Fast uncertainty quantification for scientific machine learning (SciML) and differential equations
Language:Julia 69Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions
Language:Julia 62Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.
Language:Julia 61Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine learning (SciML)
Language:Julia 58Boundary value problem (BVP) solvers for scientific machine learning (SciML)
Language:Julia 52A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)
Language:Julia 51Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization
Language:Julia 36Differential equation problem specifications and scientific machine learning for common financial models
Language:Julia 30JinraeKim / FlightSims.jl
A general purpose numerical simulator supporting nested dynamical systems and a convenient macro-based data logger.
Language:Julia 20Interface to DASKR, a differential algebraic system solver for the SciML scientific machine learning ecosystem
Language:Julia 11Monte Carlo simulation routines for high-performance parallelization of differential equation solvers and scientific machine learning
Language:Julia 11Solvers for finite element discretizations of PDEs in the SciML scientific machine learning ecosystem
Language:Julia 5jakubowiczish / FEM
Simple program that solves specified differential equation using finite element method, written in Python
Language:Python 1JigarDPrajapati / Eulers-Method
Euler's Method in Python to approximate solution of IVPs (differential equations)
Language:Python 1Theme-Maths / MultipleDegree-DifferentialEquationsSolver
Provides a solution for any resolvable differential equation with a degree n>1, using Euler or RK4 methods.
Language:Python 1matsunagalab / lecture_ode
Lecuture notes on practical methods for ordinary differential equations
Language:Jupyter Notebook