{"id":24319828,"url":"https://github.com/roliveira/nilt","last_synced_at":"2025-06-13T01:06:07.261Z","repository":{"id":87176502,"uuid":"405190899","full_name":"roliveira/nilt","owner":"roliveira","description":"Numerical Inverse Laplace Transform Methods","archived":false,"fork":false,"pushed_at":"2024-08-28T15:29:26.000Z","size":20,"stargazers_count":7,"open_issues_count":0,"forks_count":0,"subscribers_count":2,"default_branch":"main","last_synced_at":"2025-04-08T20:16:49.433Z","etag":null,"topics":["algorithm","benchmarks","laplace-transform","numerical-methods"],"latest_commit_sha":null,"homepage":"","language":"C++","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/roliveira.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":"2021-09-10T19:24:17.000Z","updated_at":"2024-08-28T15:29:30.000Z","dependencies_parsed_at":null,"dependency_job_id":"afef8027-d039-4047-b849-a7b5ab81b53b","html_url":"https://github.com/roliveira/nilt","commit_stats":{"total_commits":9,"total_committers":2,"mean_commits":4.5,"dds":"0.11111111111111116","last_synced_commit":"8cfc8ea38ccf15449403ea53c8384881434b0c0e"},"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/roliveira/nilt","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/roliveira%2Fnilt","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/roliveira%2Fnilt/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/roliveira%2Fnilt/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/roliveira%2Fnilt/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/roliveira","download_url":"https://codeload.github.com/roliveira/nilt/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/roliveira%2Fnilt/sbom","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":259559690,"owners_count":22876499,"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":["algorithm","benchmarks","laplace-transform","numerical-methods"],"created_at":"2025-01-17T15:39:49.212Z","updated_at":"2025-06-13T01:06:07.226Z","avatar_url":"https://github.com/roliveira.png","language":"C++","readme":"# Numerical Inverse Laplace Transform Methods\n\nThis repository is used to benchmark different algorithms for the numerical Laplace Transform Inversion. This work was partly developed in [Oliveira, R. (2021)](https://doi.org/10.25560/92253).\n\n## Stehfest Algorithm\n\nThe algorithm described in [Stehfest, H. (1970)](https://doi.org/10.1145/361953.361969) is implemented in `StehfestAlgorithm` class. To exemplify the results, the entries entry for `f(t) = 1/sqrt(PI*t)` in Table 1 of the original paper are obtained by numerically inverting the Laplace Transform of `F(s) = 1/sqrt(s)` and are listed below:\n\n| t  | fa(t)          | fn(t)          | err               |\n|----|----------------|----------------|-------------------|\n| 1  | 0.564189583548 | 0.564186508758 | 5.44992307092e-06 |\n| 2  | 0.398942280401 | 0.398939582368 | 6.76296805803e-06 |\n| 3  | 0.325735007935 | 0.325734581605 | 1.3088245455e-06  |\n| 4  | 0.282094791774 | 0.282093254379 | 5.44992307092e-06 |\n| 5  | 0.252313252202 | 0.252312282254 | 3.84421978257e-06 |\n| 6  | 0.230329432981 | 0.230329170603 | 1.13914346481e-06 |\n| 7  | 0.213243618623 | 0.213243982566 | 1.70670322864e-06 |\n| 8  | 0.199471140201 | 0.199469791184 | 6.76296805803e-06 |\n| 9  | 0.188063194516 | 0.188063264428 | 3.71747548209e-07 |\n| 10 | 0.178412411615 | 0.178411614082 | 4.47016807695e-06 |\n\n## References\n\n- Rodolfo Oliveira. 2021. *Modelling of reactive transport in porous media using continuous time random walks*. PhD Thesis (Mar. 2021). https://doi.org/10.25560/92253\n- Harald Stehfest. 1970. *Algorithm 368: Numerical inversion of Laplace transforms [D5]*. Commun. ACM 13, 1 (Jan. 1970), 47–49. https://doi.org/10.1145/361953.361969\n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Froliveira%2Fnilt","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Froliveira%2Fnilt","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Froliveira%2Fnilt/lists"}