{"id":29703352,"url":"https://github.com/bilpapster/uni-num-analysis","last_synced_at":"2025-08-31T09:39:48.180Z","repository":{"id":170305886,"uuid":"323959987","full_name":"Bilpapster/Uni-Num-Analysis","owner":"Bilpapster","description":"GNU Octave code for solutions in the fields of Numerical Analysis. 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Code development was held alongside with the course \"Numerical Analysis\", that the author attendeed, during their third semester of studies in the School of Informatics, AUTh. The repository contains code for the two assignments of the course.\n\u003c/p\u003e\n\n# First Assignment\n\n\u003cp\u003eThe first assignment covers the following fields of Numerical Analysis:\n\u003cul\u003e\n  \u003cli\u003eRoot Finding for non-linear functions\n    \u003cul\u003e\n      \u003cli\u003ebisection method\u003c/li\u003e\n      \u003cli\u003eNewton-Raphson method\u003c/li\u003e\n      \u003cli\u003esecant method\u003c/li\u003e\n    \u003c/ul\u003e\n  \u003c/li\u003e\n  \u003cli\u003eSolving linear systems of equations\n    \u003cul\u003e\n      \u003cli\u003eGaussian Elimination, through PA = LU factorization\u003c/li\u003e\n      \u003cli\u003eCholesky Decomposition\u003c/li\u003e\n      \u003cli\u003eGauss-Seidel method\u003c/li\u003e\n    \u003c/ul\u003e\n  \u003c/li\u003e\n  \u003cli\u003eEigenanalysis and its application in Google Page-Rank\n     \u003cul\u003e\n      \u003cli\u003ethe power method of calculating eigenvalues\u003c/li\u003e\n      \u003cli\u003eAnalysis on the Google's Page Rank algorithm\u003c/li\u003e\n    \u003c/ul\u003e\n  \u003c/li\u003e\n\u003c/ul\u003e\n\n\u003c/p\u003e\n\n\u003cp\u003e The code files for the first assignment were genuinely developed in December 2020, in GNU Octave programming language. Apart from source code files, the first assignment directory contains a technical report in english, that was handed in complement. The report covers in theory the reasoning behind the code solutions and serves as code documentation.\u003c/p\u003e\n\n# Second Assignment\n\n\u003cp\u003eThe second assignment covers the following fields of Numerical Analysis:\n\u003cul\u003e\n  \u003cli\u003e Interpolation, and in particular\n    \u003cul\u003e\n      \u003cli\u003epolynomial interpolation/li\u003e\n      \u003cli\u003e(natural) cubic splines\u003c/li\u003e\n      \u003cli\u003eleast squares\u003c/li\u003e\n    \u003c/ul\u003e\n  \u003c/li\u003e\n  \u003cli\u003eQuadrature, and in particular\n    \u003cul\u003e\n      \u003cli\u003ethe Trapezoid rule\u003c/li\u003e\n      \u003cli\u003ethe Simpson's rule\u003c/li\u003e\n    \u003c/ul\u003e\n  \u003c/li\u003e\n  \u003cli\u003eAn application of interpolation (least squares) in data fitting and stock forecast\u003c/li\u003e\n\u003c/ul\u003e\n\n\u003cp\u003e The code files for the second assignment were genuinely developed in January 2021, in GNU Octave programming language. Apart from source code files, the second assignment directory contains a technical report in english, that was handed in complement. The report covers in theory the reasoning behind the code solutions and serves as code documentation.\u003c/p\u003e\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbilpapster%2Funi-num-analysis","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fbilpapster%2Funi-num-analysis","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbilpapster%2Funi-num-analysis/lists"}