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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.

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

High performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Boundary value problem (BVP) solvers for scientific machine learning (SciML)

Robust, modular and efficient implementation of advanced Hamiltonian Monte Carlo algorithms

Solve Fractional Differential Equations using high performance numerical methods

Almost block diagonal matrices factorization and solving in Julia

Complex Step Differentiation in Julia

Web-based model & policy editor for Casbin

My own blog

Harness Fortran BVP solvers for the SciML diffeq ecosystem

Surrogate modeling and optimization for scientific machine learning (SciML)

Julia package for function approximation

Julia workshop with a focus on understandable performance

A Control Systems Toolbox for Julia

🌊 Julia software for fast, friendly, flexible, data-driven, ocean-flavored fluid dynamics on CPUs and GPUs

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Manage your Julia dependencies from Python

A library for scientific machine learning and physics-informed learning

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The Base interface of the SciML ecosystem

Finite element toolbox for Julia

Extensible, Efficient Quantum Algorithm Design for Humans.

Basic statistics for Julia

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

System Identification toolbox for LTI systems, compatible with ControlSystems.jl

Let's focus on writing demos

Python and Julia in harmony.

A collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)

Special mathematical functions in Julia

Polynomial manipulations in Julia

Julia Project website

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

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This repo is to record the source code of my course design.

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A crawler based on Selenium to extract the comments in YouTube and make a wordcloud.

This is an app based on flutter

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Some code during the process in learing the openCV

A python implemented flow visualiation framework

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Coloring algorithms for sparse Jacobian and Hessian matrices

Next-generation forum software based on React + Golang, QQ group: 555019739, online demo: https://forum.casbin.com

The docs website for Casbin

Casbin static resources like js, css, img

An implementation of the VPMR algorithm, approximating decaying kernels by sum of exponentials.

Public development project of the LAMMPS MD software package

DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

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Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

Implementation of a robust, performant language-level autograd compiler for Julia

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SparseArrays.jl is a Julia stdlib

Base functionality library for QuantumOptics.jl

Common quantum objects, isomophisms, and indexing used across the Piccolo.jl ecosystem

Library for the numerical simulation of closed as well as open quantum systems.

A Photonic Quantum Computer Simulator written in Python and C++.

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

CUDA programming in Julia.

Preheat your MCMC

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Arrays with arbitrarily nested named components.

Implementation of normalising flows and constrained random variable transformations

Efficient Handling of Trajectories with User Defined Named Components

Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

Fast operator-overloading Jacobian & Hessian sparsity detection.

Collection of builder repositories for BinaryBuilder.jl

The Julia Programming Language

An interface to various automatic differentiation backends in Julia.

The conda-forge website.

Basic numerical integration routines for presampled data.

This is a website for the JuliaCN meetup events

julia package providing an interface for ODE-solvers written in Fortran

GPU acceleration for Trixi.jl

Global documentation for the Julia SciML Scientific Machine Learning Organization

Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

A programming framework for agentic AI. Discord: https://aka.ms/autogen-dc. Roadmap: https://aka.ms/autogen-roadmap

A lightweight framework for building LLM-based agents

The SciML Scientific Machine Learning Software Organization Website

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

A UI-first centralized authentication / Single-Sign-On (SSO) platform based on OAuth 2.0 / OIDC

Fractional order systems toolbox in Julia.

This is a Julia package of nonlinear solvers. These codes are used in my book, Solving Nonlinear Equations with Iterative Methods: Solvers and Examples in Julia.

SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

The real deal

A research toolkit for particle swarm optimization in Python

Sandbox for automated Linux malware analysis.

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

Simple differential equation solvers in native Julia for scientific machine learning (SciML)

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

Solution of Lyapunov, Sylvester and Riccati matrix equations using Julia

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

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

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

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

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

A library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning tools

|toqito> (Theory of Quantum Information Toolkit) in Python :snake:

Pythonic tool for running machine-learning/high performance/quantum-computing workflows in heterogenous environments.

PicX images hosting repository

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fractional Kalman filter algorithms source code for SISO fractional order systems, including: fractional extended Kalman filter (FEKF), fractional central Kalman filter (FCDKF), fractional unscented Kalman filter (FUKF) and fractional particle filter (FPF)

Julia-MPI solution of a two-dimensional diffusion equation

Numerical experiments for the paper "Fast solvers for 2D fractional differential equations using rank structured matrices"

A Julia package for representing banded matrices

Algorithms inspired by graph Laplacians: linear equation solvers, sparsification, clustering, optimization, etc.

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Calculus functions in Julia

Apache APISIX Website

Mathematica Theory of Computer Algebra System

Julia extension for Visual Studio Code

Robust and optimal design and analysis of linear control systems

A Julia package to perform Bifurcation Analysis

Expression rewriting and simplification

Climate Machine: an Earth System Model that automatically learns from data

Finite Element Method for Fractional Partial Differential Equations on 2D and 3D domains

Documentation For JuliaImages

Partitioning images into meaningful regions

Add virtual padding to the edges of an array

Fractional Order Numerical Methods

Website for QuantumOptics.jl

Solves Fractional Differential Equations numerically using Haar wavelets.

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Julia语言中文文档

Presentation Slides for Developers (Beta)

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Julia中文社区活动的各种材料 Meetup Materials

最好的路由器翻墙、科学上网教程—OpenWrt—shadowsocks

MegEngine 是一个快速、可拓展、易于使用且支持自动求导的深度学习框架

A latex package for displaying Julia code using the listings package. The package supports pdftex, luatex and xetex for compilation.

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FOMCON toolbox for MATLAB

Documentation for Plots.jl

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A starter template to build lightning fast websites with Ghost & Gatsby

A starter template to build lightning fast websites with Ghost & Gatsby

A Gatsby starter using the latest Shopify plugin showcasing a store with product overview, individual product pages, and a cart

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React, Gatsby, Netlify, Graphql. My personal web

Forest Garden Wales website

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This is an open-source Demo Magazine built with Livingdocs and Gatsby/React. Check out the code, make it yours and deploy it to netlify today!

There there...

This is the official repository for the YouTube channel "julia for talented amateurs".

The official registry of general Julia packages

Automatically update function definitions in a running Julia session

暨南大学大学计算机&网安&人工智能考研信息汇总/暨大考研/JNU考研

The docs website for Casdoor: https://github.com/casbin/casdoor

Examples of Julia GUI Application

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Javascript client SDK for Casdoor

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The docs website for Casnode

18.337 - Parallel Computing and Scientific Machine Learning

Easy to maintain open source documentation websites.

A fast and modern CAS for a fast and modern language.

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A LaTeX and WYSIWYG editor with academic search functionality and other helpful tools

A Chrome Extensions boilerplate using React 17 and Webpack 5.

Boilerplate for Chrome Extension React.js project

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This is a repo used to store my blog static file

The hacker's browser.

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中科院软件所智能软件中心实习生社区

12 weeks, 24 lessons, classic Machine Learning for all

Python package for fractional-order derivative operators

Mittag-Leffler function

Automatically Commit changed Files back to Github with Github Actions

A foolproof way of doing ML with GUI elements.

Python package for calculating fractional derivatives.

Numerical integration of fractional ordinary differential equations (FODE)

A Latex style and template for paper preprints (based on NIPS style)

Julia wrapper for Electron

Visual Studio Code

Useful resources for creating apps with Electron

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个人中文简历 Latex 源码 https://hijiangtao.github.io/

Hacking a fx-991MS solar panel space to place a 0.91" inch OLED and a esp8266-12E, which is integrated to firebase to fetch text file and send and receive text message between calculators!

A highly efficient and modular implementation of Gaussian Processes in PyTorch

🚀✨ Help beginners to contribute to open source projects

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RISC-V Instruction Set Manual

p5.js website built using Node.js, Grunt, YAML and Assemble

A list of open source programs.

my github profile - readme

Galerkin method, Spectral Galerkin method, and Explicit methods with predictor-corrector and perturbation techniques

Spectral methods for generalized fractional ordinary/partial differential equations

An app for people doing workout