{"id":"https://openalex.org/W1972673716","doi":"https://doi.org/10.1137/130924743","title":"Cell Size Error in Stochastic Particle Methods for Coagulation Equations with Advection","display_name":"Cell Size Error in Stochastic Particle Methods for Coagulation Equations with Advection","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1972673716","doi":"https://doi.org/10.1137/130924743","mag":"1972673716"},"language":"en","primary_location":{"id":"doi:10.1137/130924743","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130924743","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/A5040491060","display_name":"Robert I. A. Patterson","orcid":"https://orcid.org/0000-0002-3583-2857"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Robert I. A. Patterson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066754586","display_name":"Wolfgang Wagner","orcid":"https://orcid.org/0000-0001-7704-6857"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wolfgang Wagner","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040491060"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3241,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70093128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":"1","first_page":"424","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11188","display_name":"Coagulation and Flocculation Studies","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11188","display_name":"Coagulation and Flocculation Studies","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.96670001745224,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9502000212669373,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.7353312373161316},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.717079222202301},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6879042387008667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6878005862236023},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5100825428962708},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.47442927956581116},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42173394560813904},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.4204408824443817},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4100605249404907},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3600921034812927},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24095788598060608},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10884857177734375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09173056483268738}],"concepts":[{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.7353312373161316},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.717079222202301},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6879042387008667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6878005862236023},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5100825428962708},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.47442927956581116},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42173394560813904},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4204408824443817},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4100605249404907},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3600921034812927},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24095788598060608},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10884857177734375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09173056483268738},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130924743","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130924743","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"},{"id":"pmh:doi:10.20347/wias.preprint.1795","is_oa":false,"landing_page_url":"http://localhost:8291/receive/wias_mods_00001914","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"preprint"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1578469526","https://openalex.org/W1612194456","https://openalex.org/W1978242568","https://openalex.org/W1988406982","https://openalex.org/W1998195517","https://openalex.org/W2013301258","https://openalex.org/W2015671043","https://openalex.org/W2028240253","https://openalex.org/W2030264811","https://openalex.org/W2039006687","https://openalex.org/W2044885104","https://openalex.org/W2045160339","https://openalex.org/W2049493974","https://openalex.org/W2070886359","https://openalex.org/W2091262151","https://openalex.org/W2091802923","https://openalex.org/W2094422642","https://openalex.org/W2134787301","https://openalex.org/W2155453932","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947"],"abstract_inverted_index":{"The":[0,16,57],"error":[1],"arising":[2],"from":[3],"the":[4,7,35,40,49,53,60,63,67,73],"delocalization":[5,51],"of":[6,38,42,52,66],"coagulation":[8],"interaction":[9,45,54],"in":[10,72],"stochastic":[11],"particle":[12,26],"methods":[13,27],"is":[14,92],"studied.":[15],"model":[17],"under":[18],"consideration":[19],"includes":[20],"advection,":[21],"coagulation,":[22],"and":[23,44,48],"inception.":[24],"Stochastic":[25],"depend":[28],"on":[29,62],"several":[30],"discretization":[31],"parameters,":[32],"due":[33],"to":[34],"finite":[36],"number":[37],"particles,":[39],"decoupling":[41],"transport":[43],"(time":[46],"step),":[47],"spatial":[50],"(cell":[55],"size).":[56],"paper":[58],"studies":[59],"dependence":[61],"cell":[64],"size":[65],"steady":[68],"state":[69],"solution":[70],"obtained":[71],"infinite-particle-number":[74],"limit.":[75],"Sufficient":[76],"conditions":[77],"for":[78],"second":[79],"order":[80,90],"approximation":[81,91],"are":[82,85],"provided.":[83],"Examples":[84],"given,":[86],"where":[87],"only":[88],"first":[89],"observed.":[93]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
