{"id":"https://openalex.org/W2007542753","doi":"https://doi.org/10.1137/s1064827599355566","title":"A Time-Reversible, Regularized, Switching Integrator for the <i>N</i>-Body Problem","display_name":"A Time-Reversible, Regularized, Switching Integrator for the <i>N</i>-Body Problem","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2007542753","doi":"https://doi.org/10.1137/s1064827599355566","mag":"2007542753"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827599355566","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599355566","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/A5066531579","display_name":"Anne Kv\u00e6rn\u00f8","orcid":"https://orcid.org/0000-0003-1445-9181"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Anne Kvaerno","raw_affiliation_strings":["Norwegian Univ. of Sci. and Tech"],"affiliations":[{"raw_affiliation_string":"Norwegian Univ. of Sci. and Tech","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109552159","display_name":"Ben Leimkuhler","orcid":null},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ben Leimkuhler","raw_affiliation_strings":["University of Leicester"],"affiliations":[{"raw_affiliation_string":"University of Leicester","institution_ids":["https://openalex.org/I153648349"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066531579"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8534,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.78366107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"3","first_page":"1016","last_page":"1035"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/integrator","display_name":"Integrator","score":0.7442553639411926},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.713170051574707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6002169847488403},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5811517238616943},{"id":"https://openalex.org/keywords/angular-momentum","display_name":"Angular momentum","score":0.5073880553245544},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.4803972542285919},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46186548471450806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4599548578262329},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4592428505420685},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3881540894508362},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3531440794467926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2984919548034668},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.26397114992141724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1731509268283844},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09233224391937256}],"concepts":[{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.7442553639411926},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.713170051574707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6002169847488403},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5811517238616943},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.5073880553245544},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.4803972542285919},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46186548471450806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4599548578262329},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4592428505420685},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3881540894508362},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3531440794467926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2984919548034668},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26397114992141724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1731509268283844},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09233224391937256},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827599355566","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827599355566","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W194678211","https://openalex.org/W773338745","https://openalex.org/W1592552732","https://openalex.org/W1654260174","https://openalex.org/W1786034674","https://openalex.org/W1969140784","https://openalex.org/W1976860825","https://openalex.org/W1981016396","https://openalex.org/W1981448512","https://openalex.org/W1986248261","https://openalex.org/W1995504856","https://openalex.org/W1998993532","https://openalex.org/W2005386550","https://openalex.org/W2006042718","https://openalex.org/W2011911642","https://openalex.org/W2013096178","https://openalex.org/W2017364870","https://openalex.org/W2017835622","https://openalex.org/W2044916346","https://openalex.org/W2060690471","https://openalex.org/W2061740160","https://openalex.org/W2074023170","https://openalex.org/W2079058666","https://openalex.org/W2084367325","https://openalex.org/W2089974659","https://openalex.org/W2108371414","https://openalex.org/W2134217601","https://openalex.org/W2141320665","https://openalex.org/W2143769694","https://openalex.org/W2152300652","https://openalex.org/W2163257413","https://openalex.org/W2169794596","https://openalex.org/W2323178299","https://openalex.org/W3038698521","https://openalex.org/W3164510988","https://openalex.org/W3209416867","https://openalex.org/W4244925867"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2380425739","https://openalex.org/W2081322886","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W2029980887","https://openalex.org/W2027541371","https://openalex.org/W2380535488","https://openalex.org/W2371144154"],"abstract_inverted_index":{"This":[0],"article":[1],"describes":[2],"a":[3,52],"gravitational":[4,89],"N-body":[5],"integration":[6],"algorithm":[7],"conserving":[8],"linear":[9],"and":[10,13,33,95],"angular":[11],"momentum":[12],"time-reversal":[14],"symmetry.":[15],"Forces":[16],"are":[17,29,36,69],"dynamically":[18],"partitioned":[19],"based":[20,50],"on":[21,51],"interbody":[22],"separation,":[23],"so":[24],"that":[25,82],"the":[26,56,62,76,83,104],"long-range":[27],"forces":[28],"evaluated":[30],"relatively":[31],"rarely,":[32],"close":[34,93],"approaches":[35],"treated":[37],"by":[38],"an":[39,46],"efficient":[40],"regularization":[41],"technique.":[42],"The":[43],"method":[44,84],"incorporates":[45],"automatic":[47],"stepsize":[48],"adjustment":[49],"Sundman":[53],"time-transformation.":[54],"Although":[55],"scheme":[57],"is":[58],"formally":[59],"second":[60],"order,":[61,73],"most":[63],"intensive":[64],"computations":[65],"(the":[66],"close-approach":[67],"dynamics)":[68],"executed":[70],"at":[71],"higher":[72],"thus":[74],"improving":[75],"overall":[77],"accuracy.":[78],"Numerical":[79],"experiments":[80],"indicate":[81],"can":[85],"effectively":[86],"treat":[87],"few-body":[88],"problems":[90],"with":[91,99],"two-body":[92],"approaches,":[94],"it":[96],"compares":[97],"favorably":[98],"other":[100],"schemes":[101],"presented":[102],"in":[103],"literature.":[105]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
