{"id":"https://openalex.org/W4391532981","doi":"https://doi.org/10.1137/23m1552164","title":"A Second-Order, Linear, \\(\\boldsymbol{L^\\infty}\\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation","display_name":"A Second-Order, Linear, \\(\\boldsymbol{L^\\infty}\\)-Convergent, and Energy Stable Scheme for the Phase Field Crystal Equation","publication_year":2024,"publication_date":"2024-02-05","ids":{"openalex":"https://openalex.org/W4391532981","doi":"https://doi.org/10.1137/23m1552164"},"language":"en","primary_location":{"id":"doi:10.1137/23m1552164","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1552164","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":true,"oa_status":"green","oa_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/107681/1/23m1552164.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100755909","display_name":"Xiao Li","orcid":"https://orcid.org/0000-0003-3598-9077"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Xiao Li","raw_affiliation_strings":["Key Laboratory of Mathematics and Complex Systems, Ministry of Education and School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics and Complex Systems, Ministry of Education and School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081360062","display_name":"Zhonghua Qiao","orcid":"https://orcid.org/0000-0002-0553-1404"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhonghua Qiao","raw_affiliation_strings":["Corresponding author. Department of Applied Mathematics & Research Institute for Smart Energy, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","\\dagger Key Laboratory of Mathematics and Complex Systems, Ministry of Education and School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Department of Applied Mathematics & Research Institute for Smart Energy, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":[]},{"raw_affiliation_string":"\\dagger Key Laboratory of Mathematics and Complex Systems, Ministry of Education and School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100755909"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.55,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.93116286,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"46","issue":"1","first_page":"A429","last_page":"A451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","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/T11087","display_name":"Solidification and crystal growth phenomena","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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8260666728019714},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.557051956653595},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.48344382643699646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4738353192806244},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4658881723880768},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.44337424635887146},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4233064651489258},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.34462931752204895},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3382715880870819},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23275724053382874},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13213512301445007},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09292477369308472},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0814301073551178}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8260666728019714},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.557051956653595},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.48344382643699646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4738353192806244},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4658881723880768},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.44337424635887146},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4233064651489258},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.34462931752204895},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3382715880870819},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23275724053382874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13213512301445007},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09292477369308472},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0814301073551178},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1552164","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1552164","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"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/107681","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/107681","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/107681/1/23m1552164.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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":"Journal/Magazine Article"}],"best_oa_location":{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/107681","is_oa":true,"landing_page_url":"http://hdl.handle.net/10397/107681","pdf_url":"http://ira.lib.polyu.edu.hk/bitstream/10397/107681/1/23m1552164.pdf","source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"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":"Journal/Magazine Article"},"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3717406022","display_name":null,"funder_award_id":"4-ZZLS","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G427740250","display_name":null,"funder_award_id":"RFS2021-5S03","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G5738451161","display_name":null,"funder_award_id":"GRF 15303121","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G8683859336","display_name":null,"funder_award_id":"CAS AMSS","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"}],"funders":[{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391532981.pdf","grobid_xml":"https://content.openalex.org/works/W4391532981.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W429183865","https://openalex.org/W1483804921","https://openalex.org/W1626544264","https://openalex.org/W1968310627","https://openalex.org/W1973118344","https://openalex.org/W1973929353","https://openalex.org/W1979546093","https://openalex.org/W1980158383","https://openalex.org/W1999107555","https://openalex.org/W2000883601","https://openalex.org/W2029449803","https://openalex.org/W2048689289","https://openalex.org/W2057808716","https://openalex.org/W2078210968","https://openalex.org/W2080928083","https://openalex.org/W2085878103","https://openalex.org/W2090704787","https://openalex.org/W2093810855","https://openalex.org/W2109834126","https://openalex.org/W2127166951","https://openalex.org/W2167886272","https://openalex.org/W2184266932","https://openalex.org/W2309796220","https://openalex.org/W2501163367","https://openalex.org/W2521393946","https://openalex.org/W2526274843","https://openalex.org/W2542505516","https://openalex.org/W2550726378","https://openalex.org/W2553175992","https://openalex.org/W2588054282","https://openalex.org/W2606274634","https://openalex.org/W2740439779","https://openalex.org/W2883986667","https://openalex.org/W2914074116","https://openalex.org/W2914901868","https://openalex.org/W2954429508","https://openalex.org/W2955646358","https://openalex.org/W2963533073","https://openalex.org/W2964580220","https://openalex.org/W2969346771","https://openalex.org/W2972364187","https://openalex.org/W2992565422","https://openalex.org/W3031773824","https://openalex.org/W3046790868","https://openalex.org/W3080439246","https://openalex.org/W3098116235","https://openalex.org/W3101256136","https://openalex.org/W3159048616","https://openalex.org/W3159813613","https://openalex.org/W3174720744","https://openalex.org/W3203944771","https://openalex.org/W4206255168","https://openalex.org/W4206766080","https://openalex.org/W4211077197","https://openalex.org/W4224044494","https://openalex.org/W4281976037"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2087240539","https://openalex.org/W4236520801","https://openalex.org/W2122599759","https://openalex.org/W1537234410","https://openalex.org/W1995022398","https://openalex.org/W2114205111","https://openalex.org/W115923022","https://openalex.org/W2484602794"],"abstract_inverted_index":{"202407":[0],"bcch":[1]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2024-02-06T00:00:00"}
