mpastell / DiffEqTutorials.jl

Tutorials for using the DiffEq ecosystem

DiffEqTutorials.jl

DiffEqTutorials.jl holds PDFs, webpages, and interactive Jupyter notebooks showing how to utilize the software in the JuliaDiffEq ecosystem. This set of tutorials was made to complement the documentation and the devdocs by providing practical examples of the concepts. For more details, please consult the docs.

Interactive Notebooks

To run the tutorials interactively via Jupyter notebooks, install the package and open the tutorials like:

]add "https://github.com/JuliaDiffEq/DiffEqTutorials.jl"
using DiffEqTutorials
DiffEqTutorials.open_notebooks()

Video Tutorial

Table of Contents

• Introduction
  • Introduction to DifferentialEquations.jl through ODEs
  • Detecting Stiffness and Choosing an ODE Algorithm
  • Optimizing your DiffEq Code
  • Callbacks and Event Handling
  • Formatting Plots
• Modeling Examples
  • Classical Physics Models
  • Conditional Dosing Example
  • Kepler Problem Orbit
• Advanced ODE Features
  • Feagin's Order 10, 12, and 14 Methods
  • Finding Maxima and Minima of DiffEq Solutions
  • Monte Carlo Parameter Estimation from Data
• Type Handling
  • Solving Equations with Julia-Defined Types
  • Numbers with Uncertainties
  • Unit Check Arithmetic via Unitful.jl
• Advanced
  • A 2D Cardiac Electrophysiology Model (CUDA-accelerated PDE solver)

Contributing

All of the files are generated from the Weave.jl files in the tutorials folder. To run the generation process, do for example:

using DiffEqTutorials
DiffEqTutorials.weave_file(".","introduction/ode_introduction.jmd")