{"id":"https://openalex.org/W2993632181","doi":"https://doi.org/10.1080/00207160.2019.1701663","title":"A high-precision numerical method for the dissipative dynamics of the Hamiltonian systems","display_name":"A high-precision numerical method for the dissipative dynamics of the Hamiltonian systems","publication_year":2019,"publication_date":"2019-12-06","ids":{"openalex":"https://openalex.org/W2993632181","doi":"https://doi.org/10.1080/00207160.2019.1701663","mag":"2993632181"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1701663","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1701663","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5082125860","display_name":"Jing An","orcid":"https://orcid.org/0009-0005-8754-8849"},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]},{"id":"https://openalex.org/I4210139958","display_name":"Beijing Computational Science Research Center","ror":"https://ror.org/04tavf782","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139958"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing An","raw_affiliation_strings":["Beijing Computational Science Research Center, Beijing, People's Republic of China","School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210139958"]},{"raw_affiliation_string":"School of Mathematical Sciences, Guizhou Normal University, Guiyang, People's Republic of China","institution_ids":["https://openalex.org/I154893126"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078388333","display_name":"Lewei Zhao","orcid":"https://orcid.org/0000-0002-1050-3184"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lewei Zhao","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI, USA","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100716837","display_name":"Wen-Zhao Zhang","orcid":"https://orcid.org/0000-0001-7885-4282"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]},{"id":"https://openalex.org/I4210139958","display_name":"Beijing Computational Science Research Center","ror":"https://ror.org/04tavf782","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139958"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wen-Zhao Zhang","raw_affiliation_strings":["Beijing Computational Science Research Center, Beijing, People's Republic of China","Department of Physics, Ningbo University, Ningbo, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Beijing Computational Science Research Center, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210139958"]},{"raw_affiliation_string":"Department of Physics, Ningbo University, Ningbo, People's Republic of China","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100716837"],"corresponding_institution_ids":["https://openalex.org/I109935558","https://openalex.org/I4210139958"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17301683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"97","issue":"12","first_page":"2436","last_page":"2450"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10988","display_name":"Advanced Fiber Laser Technologies","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/dissipative-system","display_name":"Dissipative system","score":0.8790823817253113},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.630719780921936},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.6257664561271667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6252137422561646},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6056965589523315},{"id":"https://openalex.org/keywords/dissipative-operator","display_name":"Dissipative operator","score":0.5656420588493347},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5533214211463928},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4900039732456207},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4623526334762573},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.42952120304107666},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.35271719098091125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33629104495048523},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20564338564872742},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19573098421096802},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12209782004356384}],"concepts":[{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.8790823817253113},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.630719780921936},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.6257664561271667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6252137422561646},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6056965589523315},{"id":"https://openalex.org/C101370240","wikidata":"https://www.wikidata.org/wiki/Q1229326","display_name":"Dissipative operator","level":3,"score":0.5656420588493347},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5533214211463928},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4900039732456207},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4623526334762573},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.42952120304107666},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35271719098091125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33629104495048523},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20564338564872742},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19573098421096802},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12209782004356384}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2019.1701663","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1701663","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1382143607","display_name":null,"funder_award_id":"2018T110039","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G4589995669","display_name":null,"funder_award_id":"KY[2018]041","funder_id":"https://openalex.org/F4320335962","funder_display_name":"Natural Science Research Project of Guizhou Provincial Education Office"},{"id":"https://openalex.org/G8680742211","display_name":null,"funder_award_id":"11726604, 11726603, 11704026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335962","display_name":"Natural Science Research Project of Guizhou Provincial Education Office","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1971081741","https://openalex.org/W1978434425","https://openalex.org/W1980405365","https://openalex.org/W1983216491","https://openalex.org/W1993569328","https://openalex.org/W2004030197","https://openalex.org/W2013751008","https://openalex.org/W2015892815","https://openalex.org/W2026196090","https://openalex.org/W2034822364","https://openalex.org/W2041621929","https://openalex.org/W2049846301","https://openalex.org/W2063457282","https://openalex.org/W2069783587","https://openalex.org/W2101530663","https://openalex.org/W2224634630","https://openalex.org/W2301375440","https://openalex.org/W2346161076","https://openalex.org/W2469431179","https://openalex.org/W3013239389","https://openalex.org/W3037306418","https://openalex.org/W3103424915","https://openalex.org/W3104881719","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3195409144","https://openalex.org/W4293117498","https://openalex.org/W1972656607","https://openalex.org/W1982010170","https://openalex.org/W1883390276","https://openalex.org/W2352739639","https://openalex.org/W2386000747","https://openalex.org/W2046503340","https://openalex.org/W2014646032","https://openalex.org/W3154157740"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3,53,57],"effective":[4],"spectral-Galerkin":[5],"method":[6,38,67],"was":[7],"proposed":[8],"for":[9,72],"the":[10,34,61,74],"dissipative":[11,75],"dynamics":[12,76],"of":[13,63,77],"a":[14,19,25,69],"Hamiltonian":[15,81],"system.":[16],"By":[17],"introducing":[18],"suitable":[20],"Sobolev":[21],"space,":[22],"we":[23],"establish":[24],"weak":[26],"form":[27],"and":[28,43,79],"corresponding":[29],"discrete":[30],"scheme.":[31],"Compared":[32],"with":[33],"existing":[35],"methods,":[36],"our":[37,64],"can":[39],"achieve":[40],"higher":[41],"accuracy":[42],"shorter":[44],"computational":[45],"time.":[46],"We":[47],"also":[48],"simulate":[49],"quantum":[50],"cooling":[51],"in":[52],"optomechanical":[54],"system":[55],"as":[56],"example":[58],"to":[59],"show":[60],"advantage":[62],"method.":[65],"Our":[66],"provides":[68],"promising":[70],"platform":[71],"studying":[73],"nonlinear":[78],"complex":[80],"systems.":[82]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
