{"id":"https://openalex.org/W2089590357","doi":"https://doi.org/10.1137/s1064827500381720","title":"A Changing-Chart Symplectic Algorithm for Rigid Bodies and Other Hamiltonian Systems on Manifolds","display_name":"A Changing-Chart Symplectic Algorithm for Rigid Bodies and Other Hamiltonian Systems on Manifolds","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2089590357","doi":"https://doi.org/10.1137/s1064827500381720","mag":"2089590357"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827500381720","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500381720","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077894539","display_name":"Giancarlo Benettin","orcid":"https://orcid.org/0000-0003-3731-9499"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giancarlo Benettin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071503359","display_name":"Anna Maria Cherubini","orcid":"https://orcid.org/0000-0002-2874-1455"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anna Maria Cherubini","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015420361","display_name":"Francesco Fass\u00f2","orcid":"https://orcid.org/0000-0003-1043-3152"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesco Fass\u00f2","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8457,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90085091,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"4","first_page":"1189","last_page":"1203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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":0.9993000030517578,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.968999981880188,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.7997523546218872},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7182282209396362},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6615338921546936},{"id":"https://openalex.org/keywords/chart","display_name":"Chart","score":0.6386054754257202},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.621122419834137},{"id":"https://openalex.org/keywords/symplectic-manifold","display_name":"Symplectic manifold","score":0.5884907841682434},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.5313718318939209},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.489227294921875},{"id":"https://openalex.org/keywords/moment-map","display_name":"Moment map","score":0.47933229804039},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.47195759415626526},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4471057057380676},{"id":"https://openalex.org/keywords/superintegrable-hamiltonian-system","display_name":"Superintegrable Hamiltonian system","score":0.4460068941116333},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.44261980056762695},{"id":"https://openalex.org/keywords/covariant-hamiltonian-field-theory","display_name":"Covariant Hamiltonian field theory","score":0.36706995964050293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32863590121269226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19073152542114258},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14538100361824036}],"concepts":[{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.7997523546218872},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7182282209396362},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6615338921546936},{"id":"https://openalex.org/C190812933","wikidata":"https://www.wikidata.org/wiki/Q28923","display_name":"Chart","level":2,"score":0.6386054754257202},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.621122419834137},{"id":"https://openalex.org/C130190758","wikidata":"https://www.wikidata.org/wiki/Q1064500","display_name":"Symplectic manifold","level":3,"score":0.5884907841682434},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5313718318939209},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.489227294921875},{"id":"https://openalex.org/C40265840","wikidata":"https://www.wikidata.org/wiki/Q6897118","display_name":"Moment map","level":3,"score":0.47933229804039},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.47195759415626526},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4471057057380676},{"id":"https://openalex.org/C177715462","wikidata":"https://www.wikidata.org/wiki/Q7643453","display_name":"Superintegrable Hamiltonian system","level":4,"score":0.4460068941116333},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.44261980056762695},{"id":"https://openalex.org/C109798219","wikidata":"https://www.wikidata.org/wiki/Q25304038","display_name":"Covariant Hamiltonian field theory","level":3,"score":0.36706995964050293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32863590121269226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19073152542114258},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14538100361824036},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827500381720","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827500381720","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/2472549","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2472549","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1981880184","https://openalex.org/W1992360504","https://openalex.org/W1998387022","https://openalex.org/W2001515423","https://openalex.org/W2011795318","https://openalex.org/W2024942080","https://openalex.org/W2026713824","https://openalex.org/W2031958704","https://openalex.org/W2043913140","https://openalex.org/W2070664191","https://openalex.org/W2090689372","https://openalex.org/W2092683406","https://openalex.org/W2163257413","https://openalex.org/W4253147372","https://openalex.org/W4255449257"],"related_works":["https://openalex.org/W2084004466","https://openalex.org/W2091190549","https://openalex.org/W1796527113","https://openalex.org/W4226215642","https://openalex.org/W1999694081","https://openalex.org/W4310001956","https://openalex.org/W2249448351","https://openalex.org/W2740702447","https://openalex.org/W2001021669","https://openalex.org/W1964977899"],"abstract_inverted_index":{"We":[0,44,131],"revive":[1],"the":[2,16,19,25,36,59,62,80,94,98,114,133,140,149],"elementary":[3],"idea":[4],"of":[5,21,68,82,102,127,129,151],"constructing":[6],"symplectic":[7,111],"integrators":[8],"for":[9,135,143],"Hamiltonian":[10,60],"flows":[11,81],"on":[12,97,113],"manifolds":[13],"by":[14,53,100],"covering":[15],"manifold":[17,99,115],"with":[18],"charts":[20,37],"an":[22,118],"atlas,":[23],"implementing":[24],"algorithm":[26,57,96,112],"in":[27,88,105],"each":[28,89],"chart":[29,90],"(thus":[30],"using":[31,54],"coordinates)":[32],"and":[33,85,91,121,142],"switching":[34],"among":[35],"whenever":[38],"a":[39,55,110,136,144],"coordinate":[40],"singularity":[41],"is":[42,61],"approached.":[43],"show":[45],"that":[46],"this":[47],"program":[48],"can":[49],"be":[50],"implemented":[51],"successfully":[52],"splitting":[56,95],"if":[58],"sum":[63],"H":[64,83,86],"1":[65,84],"+H":[66],"2":[67,87],"two":[69],"(or":[70],"more)":[71],"integrable":[72],"Hamiltonians.":[73],"Profiting":[74],"from":[75],"integrability,":[76],"we":[77],"compute":[78,93],"exactly":[79],"thus":[92],"means":[101],"its":[103],"representative":[104],"any":[106],"chart.":[107],"This":[108],"produces":[109],"which":[116],"possesses":[117],"interpolating":[119],"Hamiltonian,":[120],"hence":[122],"it":[123],"has":[124],"excellent":[125],"properties":[126],"conservation":[128],"energy.":[130],"exemplify":[132],"method":[134],"point":[137],"constrained":[138],"to":[139],"sphere":[141],"symmetric":[145],"rigid":[146],"body":[147],"under":[148],"influence":[150],"positional":[152],"potential":[153],"forces.":[154]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}