{"id":"https://openalex.org/W2151293682","doi":"https://doi.org/10.1137/030601338","title":"Numerical Solution of Polymer Self-Consistent Field Theory","display_name":"Numerical Solution of Polymer Self-Consistent Field Theory","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2151293682","doi":"https://doi.org/10.1137/030601338","mag":"2151293682"},"language":"en","primary_location":{"id":"doi:10.1137/030601338","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601338","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","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/A5016417542","display_name":"H\u00e9ctor D. Ceniceros","orcid":"https://orcid.org/0000-0002-0867-0151"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hector D. Ceniceros","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067839341","display_name":"Glenn H. Fredrickson","orcid":"https://orcid.org/0000-0002-6716-9017"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Glenn H. Fredrickson","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016417542"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6263,"has_fulltext":false,"cited_by_count":179,"citation_normalized_percentile":{"value":0.93572032,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"2","issue":"3","first_page":"452","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.606679379940033},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5826995372772217},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5120130181312561},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4838332235813141},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47469040751457214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4701678156852722},{"id":"https://openalex.org/keywords/polymer","display_name":"Polymer","score":0.44150251150131226},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.40987759828567505},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3717741370201111},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29315683245658875},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24329254031181335},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.17215171456336975}],"concepts":[{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.606679379940033},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5826995372772217},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5120130181312561},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4838332235813141},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47469040751457214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4701678156852722},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.44150251150131226},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40987759828567505},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3717741370201111},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29315683245658875},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24329254031181335},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.17215171456336975},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/030601338","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601338","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","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":32,"referenced_works":["https://openalex.org/W1549220217","https://openalex.org/W1774151066","https://openalex.org/W1912930600","https://openalex.org/W1969837995","https://openalex.org/W1970495824","https://openalex.org/W1974832362","https://openalex.org/W1975899172","https://openalex.org/W1977388087","https://openalex.org/W1987160339","https://openalex.org/W1988100658","https://openalex.org/W1999341419","https://openalex.org/W2017855598","https://openalex.org/W2033971356","https://openalex.org/W2034501059","https://openalex.org/W2035368246","https://openalex.org/W2041170998","https://openalex.org/W2041862937","https://openalex.org/W2042332606","https://openalex.org/W2063590939","https://openalex.org/W2070318515","https://openalex.org/W2072608176","https://openalex.org/W2073503574","https://openalex.org/W2075370047","https://openalex.org/W2096070062","https://openalex.org/W2097246107","https://openalex.org/W2117360035","https://openalex.org/W2118941217","https://openalex.org/W2120235449","https://openalex.org/W2129808019","https://openalex.org/W2151317657","https://openalex.org/W3101152779","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2012983134","https://openalex.org/W4205276374","https://openalex.org/W2368811332","https://openalex.org/W2053355289","https://openalex.org/W2390251251","https://openalex.org/W1972617237","https://openalex.org/W1972946241","https://openalex.org/W1982924429","https://openalex.org/W972250207","https://openalex.org/W2008439398"],"abstract_inverted_index":{"We":[0],"propose":[1],"efficient":[2],"pseudospectral":[3],"numerical":[4,70],"schemes":[5,38],"for":[6,12,82],"solving":[7],"the":[8,32,54,69,73,77],"self-consistent,":[9],"mean-field":[10],"equations":[11],"inhomogeneous":[13,85],"polymers.":[14],"In":[15],"particular,":[16],"we":[17],"introduce":[18],"a":[19,43,48,83],"robust":[20],"class":[21],"of":[22,60,75,87,94,104],"semi-implicit":[23],"methods":[24],"that":[25,50],"employ":[26],"asymptotic":[27],"small":[28],"scale":[29],"information":[30],"about":[31],"nonlocal":[33],"density":[34,86],"operators.":[35],"The":[36],"relaxation":[37],"are":[39,65],"further":[40],"embedded":[41],"in":[42,47],"multilevel":[44],"strategy":[45],"resulting":[46],"method":[49],"can":[51],"cut":[52],"down":[53],"computational":[55],"cost":[56],"by":[57],"an":[58,90,101],"order":[59],"magnitude.":[61],"Three":[62],"illustrative":[63],"problems":[64],"used":[66],"to":[67],"test":[68],"methods:":[71],"(i)":[72],"problem":[74],"finding":[76],"mean":[78],"chemical":[79],"potential":[80],"field":[81],"prescribed":[84],"homopolymers;":[88,98],"(ii)":[89],"incompressible":[91,102],"melt":[92,103],"blend":[93],"two":[95],"chemically":[96],"distinct":[97],"and":[99],"(iii)":[100],"AB":[105],"diblock":[106],"copolymers.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
