{"id":19855809,"url":"https://github.com/ray-chew/symplecticity","last_synced_at":"2026-06-13T05:32:05.312Z","repository":{"id":228363916,"uuid":"139059806","full_name":"ray-chew/symplecticity","owner":"ray-chew","description":"A simple study of symplectic integrators","archived":false,"fork":false,"pushed_at":"2024-03-19T15:01:34.000Z","size":477,"stargazers_count":2,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-02-28T23:46:10.048Z","etag":null,"topics":["euler-method","numerical-integration","numerical-methods","symplectic-integrators"],"latest_commit_sha":null,"homepage":"","language":"Jupyter Notebook","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"apache-2.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/ray-chew.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","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,"publiccode":null,"codemeta":null}},"created_at":"2018-06-28T19:24:07.000Z","updated_at":"2024-03-19T10:12:54.000Z","dependencies_parsed_at":"2025-01-11T13:48:18.748Z","dependency_job_id":"6dee31be-45fb-40b7-9cb5-707ca3962dc1","html_url":"https://github.com/ray-chew/symplecticity","commit_stats":null,"previous_names":["ray-chew/symplecticity"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/ray-chew/symplecticity","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ray-chew%2Fsymplecticity","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ray-chew%2Fsymplecticity/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ray-chew%2Fsymplecticity/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ray-chew%2Fsymplecticity/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/ray-chew","download_url":"https://codeload.github.com/ray-chew/symplecticity/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ray-chew%2Fsymplecticity/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":34273788,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-05-26T15:22:16.424Z","status":"online","status_checked_at":"2026-06-13T02:00:06.617Z","response_time":62,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"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","numerical-integration","numerical-methods","symplectic-integrators"],"created_at":"2024-11-12T14:13:46.439Z","updated_at":"2026-06-13T05:32:05.297Z","avatar_url":"https://github.com/ray-chew.png","language":"Jupyter Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Symplecticity\nA simple study of symplectic integrators.\n\nThe first-order symplectic Euler methods (Euler-A and Euler-B) and the second-order Störmer-Verlet are compared against a non-symplectic simple-Euler method for a single oscillator. The Störmer-Verlet method is then used to simulate a system of 128-coupled oscillators.\n\nThis was completed as a side project during my *numerische Mathematik* seminar at the Technische Universität Berlin.\n\n\n**References**:\n\n[1] Benedict Leimkuhler and Sebastian Reich. *Simulating Hamiltonian Dynamics*. Cambridge Monographs on Applied and Computational Mathematics. Cambridge University Press, 2005.\n\n[2] Ernst Hairer, Christian Lubich, and Gerhard Wanner. *Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations; 2nd ed*. Springer, Dordrecht, 2006.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fray-chew%2Fsymplecticity","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fray-chew%2Fsymplecticity","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fray-chew%2Fsymplecticity/lists"}