{"id":20744440,"url":"https://github.com/nickklos10/cot-4500-as3","last_synced_at":"2025-03-11T12:42:05.024Z","repository":{"id":230409777,"uuid":"779297817","full_name":"nickklos10/cot-4500-as3","owner":"nickklos10","description":"Solutions to a variety of numerical methods problems using Python","archived":false,"fork":false,"pushed_at":"2024-03-29T14:10:44.000Z","size":6,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-01-18T02:27:57.238Z","etag":null,"topics":["euler-method","gaussian-elimination-algorithm","lu-factorization","matrix-algebra","runge-kutta-methods"],"latest_commit_sha":null,"homepage":"","language":"Python","has_issues":true,"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/nickklos10.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":"2024-03-29T14:01:29.000Z","updated_at":"2024-06-03T15:10:26.000Z","dependencies_parsed_at":"2024-03-29T15:25:00.762Z","dependency_job_id":"04f55f6e-34fe-4077-9b02-0509de2301fc","html_url":"https://github.com/nickklos10/cot-4500-as3","commit_stats":null,"previous_names":["nickklos10/cot-4500-as3"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nickklos10%2Fcot-4500-as3","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nickklos10%2Fcot-4500-as3/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nickklos10%2Fcot-4500-as3/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nickklos10%2Fcot-4500-as3/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/nickklos10","download_url":"https://codeload.github.com/nickklos10/cot-4500-as3/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":243039584,"owners_count":20226131,"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":["euler-method","gaussian-elimination-algorithm","lu-factorization","matrix-algebra","runge-kutta-methods"],"created_at":"2024-11-17T07:15:37.303Z","updated_at":"2025-03-11T12:42:04.998Z","avatar_url":"https://github.com/nickklos10.png","language":"Python","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Numerical Methods Script\n\nThis script provides solutions to a variety of numerical methods problems using Python. It includes implementations of the Euler and Runge-Kutta methods for solving ordinary differential equations, Gaussian elimination with backward substitution for solving linear systems, LU Factorization, and checks for matrix properties (diagonally dominant and positive definite).\n\n### Features\n\n- Euler method for solving differential equations\n- 4th-order Runge-Kutta method\n- Gaussian elimination and backward substitution\n- LU Factorization using SciPy\n- Matrix property checks: diagonally dominant and positive definit\n\n### Requirements\n\nRequirements instructions will be found in the requirements.txt file in the repository\n\n### Running the script\n\nTo use the script, simply run it in your preferred Python environment. The script is self-contained and does not require any additional input once the initial conditions are set within the script.\n\npython main.py\n\n### Structure\n\nThe script is divided into several function definitions followed by their execution. The results are printed to the console.\n\n- Euler and Runge-Kutta Methods: Solve the specified differential equation.\n- Gaussian Elimination: Solve the linear system represented by the augmented matrix.\n- LU Factorization: Perform factorization on a given matrix and print the L, U, and determinant.\n- Matrix Property Checks: Print out whether a matrix is diagonally dominant or positive definite.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fnickklos10%2Fcot-4500-as3","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fnickklos10%2Fcot-4500-as3","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fnickklos10%2Fcot-4500-as3/lists"}