{"id":"https://openalex.org/W1977512849","doi":"https://doi.org/10.1137/s0036142999357312","title":"Lagrangian Quadrature Schemes for Computing Weak Solutions of Quantum Stochastic Differential Equations","display_name":"Lagrangian Quadrature Schemes for Computing Weak Solutions of Quantum Stochastic Differential Equations","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1977512849","doi":"https://doi.org/10.1137/s0036142999357312","mag":"1977512849"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142999357312","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999357312","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5113706637","display_name":"E. O. Ayoola","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"E. O. Ayoola","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113706637"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3806,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69895352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"6","first_page":"1835","last_page":"1864"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.958899974822998,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9075000286102295,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7871755361557007},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5598684549331665},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5555757880210876},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.4821619391441345},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4540690779685974},{"id":"https://openalex.org/keywords/quantum-stochastic-calculus","display_name":"Quantum stochastic calculus","score":0.4358966052532196},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34759464859962463},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.310483455657959},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.10330376029014587},{"id":"https://openalex.org/keywords/quantum-process","display_name":"Quantum process","score":0.09944167733192444}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7871755361557007},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5598684549331665},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5555757880210876},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4821619391441345},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4540690779685974},{"id":"https://openalex.org/C16672771","wikidata":"https://www.wikidata.org/wiki/Q17105426","display_name":"Quantum stochastic calculus","level":5,"score":0.4358966052532196},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34759464859962463},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.310483455657959},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.10330376029014587},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.09944167733192444},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142999357312","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999357312","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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":41,"referenced_works":["https://openalex.org/W1769686","https://openalex.org/W34255502","https://openalex.org/W86550987","https://openalex.org/W111126050","https://openalex.org/W140628048","https://openalex.org/W194549626","https://openalex.org/W222318538","https://openalex.org/W578276288","https://openalex.org/W970090707","https://openalex.org/W1566628402","https://openalex.org/W1575104486","https://openalex.org/W1608564739","https://openalex.org/W1979446016","https://openalex.org/W1983436998","https://openalex.org/W1991239884","https://openalex.org/W1997179396","https://openalex.org/W2014114127","https://openalex.org/W2023747960","https://openalex.org/W2034555762","https://openalex.org/W2036318344","https://openalex.org/W2038632102","https://openalex.org/W2051652856","https://openalex.org/W2065451462","https://openalex.org/W2070803964","https://openalex.org/W2071550925","https://openalex.org/W2076589002","https://openalex.org/W2084265277","https://openalex.org/W2088464955","https://openalex.org/W2090674560","https://openalex.org/W2099579103","https://openalex.org/W2121426613","https://openalex.org/W2138527685","https://openalex.org/W2163288027","https://openalex.org/W2205324366","https://openalex.org/W2321319811","https://openalex.org/W2489619689","https://openalex.org/W2794268068","https://openalex.org/W4230445183","https://openalex.org/W4231021340","https://openalex.org/W4294990616","https://openalex.org/W4298194274"],"related_works":["https://openalex.org/W2151993195","https://openalex.org/W4254665046","https://openalex.org/W237967508","https://openalex.org/W1995708764","https://openalex.org/W2094339466","https://openalex.org/W2963189469","https://openalex.org/W2020750595","https://openalex.org/W2060658157","https://openalex.org/W2791638000","https://openalex.org/W2965673486"],"abstract_inverted_index":{"Lagrangian":[0],"quadrature":[1],"schemes":[2,46],"for":[3],"computing":[4],"weak":[5],"solutions":[6],"of":[7,23,27,36,44,50,55],"Lipschitzian":[8],"quantum":[9,28],"stochastic":[10,29],"differential":[11],"equations":[12],"are":[13,57,61],"introduced":[14],"and":[15,31],"studied.":[16],"This":[17],"is":[18],"accomplished":[19],"within":[20],"the":[21,24,48,51],"framework":[22],"Hudson--Parthasarathy":[25],"formulation":[26],"calculus":[30],"subject":[32],"to":[33],"matrix":[34],"elements":[35],"solution":[37,56],"being":[38],"sufficiently":[39],"differentiable.":[40],"Results":[41],"concerning":[42],"convergence":[43],"these":[45],"in":[47],"topology":[49],"locally":[52],"convex":[53],"space":[54],"presented.":[58],"Numerical":[59],"examples":[60],"given.":[62]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
