{"id":"https://openalex.org/W4415059686","doi":"https://doi.org/10.1007/978-3-032-03921-7_34","title":"A Variational Symplectic Scheme Based on\u00a0Lobatto\u2019s Quadrature","display_name":"A Variational Symplectic Scheme Based on\u00a0Lobatto\u2019s Quadrature","publication_year":2025,"publication_date":"2025-10-19","ids":{"openalex":"https://openalex.org/W4415059686","doi":"https://doi.org/10.1007/978-3-032-03921-7_34"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-03921-7_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-03921-7_34","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2504.00560","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112849014","display_name":"Fran\u00e7ois Dubois","orcid":"https://orcid.org/0000-0003-4858-6234"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fran\u00e7ois Dubois","raw_affiliation_strings":["LMSSC - Laboratoire de M\u00e9canique des Structures et des Syst\u00e8mes Coupl\u00e9s (292, rue Saint Martin 75141 PARIS Cedex 03 - France)","LMO - Laboratoire de Math\u00e9matiques d'Orsay (B\u00e2timent 307, 91405, Orsay cedex - France)"],"raw_orcid":"https://orcid.org/0000-0003-4858-6234","affiliations":[{"raw_affiliation_string":"LMSSC - Laboratoire de M\u00e9canique des Structures et des Syst\u00e8mes Coupl\u00e9s (292, rue Saint Martin 75141 PARIS Cedex 03 - France)","institution_ids":[]},{"raw_affiliation_string":"LMO - Laboratoire de Math\u00e9matiques d'Orsay (B\u00e2timent 307, 91405, Orsay cedex - France)","institution_ids":["https://openalex.org/I3019441195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063497084","display_name":"Juan Antonio Rojas-Quintero","orcid":"https://orcid.org/0000-0002-2311-6933"},"institutions":[{"id":"https://openalex.org/I4210090124","display_name":"Tecnol\u00f3gico Nacional de M\u00e9xico","ror":"https://ror.org/00davry38","country_code":"MX","type":"government","lineage":["https://openalex.org/I1302736544","https://openalex.org/I4210090124","https://openalex.org/I4405258672"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Juan Antonio Rojas-Quintero","raw_affiliation_strings":["TecNM - Tecnol\u00f3gico Nacional de M\u00e9xico (Av. Universidad 1200, Col. Xoco, Mexico City, \r\nBenito Ju\u00e1rez Mayor's Office CP 03330 - Mexico)"],"raw_orcid":"https://orcid.org/0000-0002-2311-6933","affiliations":[{"raw_affiliation_string":"TecNM - Tecnol\u00f3gico Nacional de M\u00e9xico (Av. Universidad 1200, Col. Xoco, Mexico City, \r\nBenito Ju\u00e1rez Mayor's Office CP 03330 - Mexico)","institution_ids":["https://openalex.org/I4210090124"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112849014"],"corresponding_institution_ids":["https://openalex.org/I3019441195"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.65261383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"332","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6884999871253967},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6579999923706055},{"id":"https://openalex.org/keywords/variational-integrator","display_name":"Variational integrator","score":0.583299994468689},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5601000189781189},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5412999987602234},{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.4932999908924103},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.484499990940094},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.48080000281333923},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44940000772476196}],"concepts":[{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6884999871253967},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6579999923706055},{"id":"https://openalex.org/C52154503","wikidata":"https://www.wikidata.org/wiki/Q7915797","display_name":"Variational integrator","level":4,"score":0.583299994468689},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5601000189781189},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5412999987602234},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5038999915122986},{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.4932999908924103},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.484499990940094},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.48080000281333923},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44339999556541443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43320000171661377},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.42890000343322754},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42890000343322754},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41929998993873596},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.3409999907016754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3253999948501587},{"id":"https://openalex.org/C184599523","wikidata":"https://www.wikidata.org/wiki/Q4680758","display_name":"Adaptive quadrature","level":4,"score":0.32350000739097595},{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.287200003862381},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.2685999870300293},{"id":"https://openalex.org/C207646825","wikidata":"https://www.wikidata.org/wiki/Q7661847","display_name":"Symplectic integrator","level":4,"score":0.2671000063419342},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.2540000081062317},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.2522999942302704},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-032-03921-7_34","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-03921-7_34","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2504.00560","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.00560","pdf_url":"https://arxiv.org/pdf/2504.00560","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05012006v3","is_oa":true,"landing_page_url":"https://hal.science/hal-05012006","pdf_url":"https://hal.science/hal-05012006/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"7th International Conference on Geometric Science of Information, Oct 2025, Saint-Malo, France. pp.332-342","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2504.00560","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.00560","pdf_url":"https://arxiv.org/pdf/2504.00560","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2041253741","https://openalex.org/W2053085259","https://openalex.org/W2073108084","https://openalex.org/W2148437017","https://openalex.org/W2170039048","https://openalex.org/W2261255596","https://openalex.org/W3217395080","https://openalex.org/W4385417270","https://openalex.org/W4387586116","https://openalex.org/W4394762376"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}