In this repository, you can finde the code for Homework 3 of the Numerical Methods course.The code is written in Julia, and the main implementation can be found in the file src/Interpolation_with_the_barycentric_formula.jl. The code is tested using the file test/runtests.jl, and it is documented using the file docs/make.jl, you can test the code for the specific by running the Scripts/script.jl file.
To run the code, it is necessary to have Julia installed on your computer. Once downloaded, you can run the code for the following equations: e^(-x^2) on ([-1,1]) , sin(x)/x on ([0,10]) and |x^2-2x| on ([1,3]).To run the code, you can simply start the script Scripts/script.jl.The script will compute the interpolation for the three equations and will return the reuslts to the precision of 1e-6.
The code and the Mathematical backround is documented using Documenter.jl. To see the documentation, you can run the docs/make.jl file. The documentation is also available online at documentation.
Here are the results of the interpolation for the three equations for the nodes 1 ,3 the number so that the error is less than 1e-6:
- e^(-x^2)
- sin(x)/x
- |x^2-2x|
