{"id":19838667,"url":"https://github.com/brayvid/numerical-analysis","last_synced_at":"2025-02-28T19:14:44.910Z","repository":{"id":231398720,"uuid":"161644887","full_name":"brayvid/numerical-analysis","owner":"brayvid","description":"Algorithms from \"Numerical Analysis\" by Burden and Faires.","archived":false,"fork":false,"pushed_at":"2018-12-17T01:20:07.000Z","size":13,"stargazers_count":0,"open_issues_count":0,"forks_count":1,"subscribers_count":2,"default_branch":"master","last_synced_at":"2025-01-11T11:18:27.255Z","etag":null,"topics":["differential-equations","interpolation","linear-algebra","numerical-methods","root-finding"],"latest_commit_sha":null,"homepage":"","language":"MATLAB","has_issues":false,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/brayvid.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null}},"created_at":"2018-12-13T13:42:19.000Z","updated_at":"2024-06-09T20:54:02.000Z","dependencies_parsed_at":"2024-04-03T22:51:16.272Z","dependency_job_id":null,"html_url":"https://github.com/brayvid/numerical-analysis","commit_stats":null,"previous_names":["brayvid/numericalanalysis","brayvid/numerical-analysis"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/brayvid%2Fnumerical-analysis","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/brayvid%2Fnumerical-analysis/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/brayvid%2Fnumerical-analysis/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/brayvid%2Fnumerical-analysis/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/brayvid","download_url":"https://codeload.github.com/brayvid/numerical-analysis/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":241209528,"owners_count":19927734,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["differential-equations","interpolation","linear-algebra","numerical-methods","root-finding"],"created_at":"2024-11-12T12:18:38.401Z","updated_at":"2025-02-28T19:14:44.870Z","avatar_url":"https://github.com/brayvid.png","language":"MATLAB","readme":"# Numerical Analysis Algorithms\n\nMatlab scripts and functions developed from theory presented in [Numerical Analysis 9e](https://www.amazon.com/Numerical-Analysis-Richard-L-Burden/dp/0538733519 \"Numerical Analysis 9e at Amazon.com\") by Burden, Faires.\n\n```matlab\n\u003e\u003e Examples\n```\n\n```console\nBisection method\n\nans =\n\n  10×2 table\n\n    n      p_n  \n    __    ______\n\n     1       1.5\n     2      1.25\n     3     1.125\n     4    1.1875\n     5    1.1562\n     6    1.1406\n     7    1.1484\n     8    1.1445\n     9    1.1465\n    10    1.1455\n\nFixed-point iteration\n\nans =\n\n  5×2 table\n\n    n      pn   \n    _    _______\n\n    1      0.532\n    2    0.57528\n    3     0.5952\n    4    0.60543\n    5    0.61096\n\nNewton's method\n\nans =\n\n  5×2 table\n\n    n     p_n  \n    _    ______\n\n    0         1\n    1    1.2241\n    2    1.1943\n    3    1.1937\n    4    1.1937\n\nLagrange interpolation\n \nans =\n \n0.0283165*x^3 - 0.31374*x^2 + 1.43615*x - 1.15073\n \nNatural cubic spline interpolation\n \nans =\n \n 7.81781*x^3 + 9.38137*x^2 + 5.35154*x + 1.11375\n             - 7.81781*x^3 + 3.47526*x + 0.98867\n \nNeville's interpolation\n \nans =\n \n- 2.7*x^2 + 0.21*x + 0.85\n \nJacobi Iteration:\n\nans =\n\n    1.0000\n    2.0000\n   -1.0000\n    1.0000\n\nEuler's Method\n\nans =\n\n  4×3 table\n\n     t        y        dydt \n    ____    ______    ______\n\n       1         4         5\n    1.15      4.75         5\n     1.3    5.5196    5.1304\n    1.45    6.3064    5.2458\n\nRunge-Kutta 4th order\n\nans =\n\n  11×3 table\n\n     t        y        dydt \n    ____    ______    ______\n\n       1         2         2\n    1.04    2.0817    2.0851\n    1.08     2.167    2.1815\n    1.12    2.2564    2.2913\n    1.16    2.3505    2.4172\n     1.2      2.45    2.5625\n    1.24    2.5558    2.7313\n    1.28    2.6689     2.929\n    1.32    2.7906    3.1626\n    1.36    2.9225    3.4414\n     1.4    3.0667    3.7778\n```\n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbrayvid%2Fnumerical-analysis","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fbrayvid%2Fnumerical-analysis","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbrayvid%2Fnumerical-analysis/lists"}