Lecture 6: Function Approximation

Julia-stuff

• We looked at https://github.com/JuliaLang/Example.jl to introduce package development.

• We introduced two ways to develop packages:

  • plain vanilla in your terminal, editing code in an editor, and repeatedly doing include("src/Example.jl") to update the module

  • using Revise.jl from wihtin VScode to automatically update the code we modify in the running julia session.

• We introduced test driven development and the julia built-in testing framework.

Function Approximation

You can find the notebooks for this lecture here

• We introduced some basic concepts:

  • Basis Functions

  • Types of interpolations/approximations

• We introduced orthogonal polynomials like the Chebyshev polynomials and their basis functions

• We looked at splines

• We introduced finally some julia packages to do interpolation.

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Last modified: February 07, 2023. Website built with Franklin.jl and the Julia programming language.