/numericalmethods

ASTR8150 Numerical Methods examples

Primary LanguageJulia

Numerical methods for Physics and Astronomy

This class will use the Julia programming language as well as Python's matplotlib library for visualizations.

Prerequisites

Julia and Atom setup

Install the latest Julia from https://julialang.org/downloads/

Install the Atom editor https://atom.io/.

Install the language-julia Atom package from within the Settings/Preferences of Atom, Install tab: this enables syntax highlighting of Julia code.

Install the latex-completions Atom package from within Atom: this enables the autocompletion of LaTeX symbols (α, β, ...)

PyPlot setup for Windows and Linux

Under Windows and Linux, launch Julia, press ] to open its package manager then type add PyPlot.

PyPlot setup for OSX

To use the default python within Julia, type :

ENV["PYTHON"]=""
ENV["MPLBACKEND"]="qt5agg"

Then go to the package manager ] and type add PyCall, then add PyPlot.

Check that you can use the REPL

  1. Launch julia from the command line.

  2. Check that it can do basic operations, e.g. input 2+2 then press enter.

  3. Check that it can plot basic functions using the PyPlot library.

using PyPlot
x=range(-pi, pi, length=100)
plot(x,sin.(x))
grid()

Learning Julia

These two links should get you started:

  1. https://learnxinyminutes.com/docs/julia/
  2. https://www.sas.upenn.edu/~jesusfv/Chapter_HPC_8_Julia.pdf

If you already master Matlab or Python also check https://cheatsheets.quantecon.org/

Also see http://juliaastro.github.io for useful functions.