{"id":"https://openalex.org/W3159813613","doi":"https://doi.org/10.1137/19m1243750","title":"Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes","display_name":"Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3159813613","doi":"https://doi.org/10.1137/19m1243750","mag":"3159813613"},"language":"en","primary_location":{"id":"doi:10.1137/19m1243750","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1243750","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1631279","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056115552","display_name":"Qiang Du","orcid":"https://orcid.org/0000-0002-1067-8937"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Du","raw_affiliation_strings":["Columbia Univ., New York, NY (United States)"],"raw_orcid":"https://orcid.org/0000-0002-1067-8937","affiliations":[{"raw_affiliation_string":"Columbia Univ., New York, NY (United States)","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076382628","display_name":"Lili Ju","orcid":"https://orcid.org/0000-0002-6520-582X"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lili Ju","raw_affiliation_strings":["Univ. of South Carolina, Columbia, SC (United States)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of South Carolina, Columbia, SC (United States)","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075172858","display_name":"Xiao Li","orcid":"https://orcid.org/0000-0002-1708-4314"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xiao Li","raw_affiliation_strings":["Hong Kong Polytechnic Univ. (Hong Kong)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hong Kong Polytechnic Univ. (Hong Kong)","institution_ids":["https://openalex.org/I14243506"]}]},{"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/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Zhonghua Qiao","raw_affiliation_strings":["Hong Kong Polytechnic Univ. (Hong Kong)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hong Kong Polytechnic Univ. (Hong Kong)","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":49.4294,"has_fulltext":false,"cited_by_count":262,"citation_normalized_percentile":{"value":1.0,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"63","issue":"2","first_page":"317","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9986000061035156,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7503972053527832},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.7149351835250854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.63277667760849},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.5532405972480774},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5449986457824707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47749990224838257},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42816802859306335},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4109508991241455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12296611070632935},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1216571033000946}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7503972053527832},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.7149351835250854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.63277667760849},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.5532405972480774},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5449986457824707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47749990224838257},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42816802859306335},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4109508991241455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12296611070632935},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1216571033000946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/19m1243750","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1243750","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/90514","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/90514","pdf_url":null,"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Journal/Magazine Article"},{"id":"pmh:oai:osti.gov:1631279","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1631279","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1631279","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1631279","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2096808470","display_name":null,"funder_award_id":"1-ZE33","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G2203110942","display_name":null,"funder_award_id":"DE-SC001654","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2464356772","display_name":null,"funder_award_id":"DMS-1818438","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2666703509","display_name":null,"funder_award_id":"DMS-2012562.","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3022231112","display_name":"Error estimates for numerical solutions of epitaxy growth equations","funder_award_id":"15302214","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G5012435474","display_name":null,"funder_award_id":"DE-SC0020270","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5534414817","display_name":null,"funder_award_id":"11801024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5960997706","display_name":null,"funder_award_id":"DMS-1719699","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6977591471","display_name":"L-infinity stability of semi-implicit schemes for phase field equations","funder_award_id":"15325816","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G7335263447","display_name":null,"funder_award_id":"DMS-1937254","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8944192383","display_name":null,"funder_award_id":"W911NF-15-1-0562","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"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"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":92,"referenced_works":["https://openalex.org/W429183865","https://openalex.org/W817027709","https://openalex.org/W1675600165","https://openalex.org/W1901394773","https://openalex.org/W1939601086","https://openalex.org/W1963927917","https://openalex.org/W1965171900","https://openalex.org/W1967296494","https://openalex.org/W1969100313","https://openalex.org/W1973127220","https://openalex.org/W1973300143","https://openalex.org/W1973753234","https://openalex.org/W1982016456","https://openalex.org/W1984347942","https://openalex.org/W1984898295","https://openalex.org/W1985595897","https://openalex.org/W1985980471","https://openalex.org/W1997766442","https://openalex.org/W2005061077","https://openalex.org/W2005864499","https://openalex.org/W2006044588","https://openalex.org/W2010652522","https://openalex.org/W2013721654","https://openalex.org/W2015297260","https://openalex.org/W2018931076","https://openalex.org/W2019658175","https://openalex.org/W2023948158","https://openalex.org/W2025888353","https://openalex.org/W2028767392","https://openalex.org/W2029449803","https://openalex.org/W2029529153","https://openalex.org/W2032343734","https://openalex.org/W2032351199","https://openalex.org/W2034029678","https://openalex.org/W2038254501","https://openalex.org/W2040456154","https://openalex.org/W2041001120","https://openalex.org/W2041968314","https://openalex.org/W2043988785","https://openalex.org/W2044543226","https://openalex.org/W2044749219","https://openalex.org/W2049165066","https://openalex.org/W2049737225","https://openalex.org/W2050969603","https://openalex.org/W2058765828","https://openalex.org/W2062245988","https://openalex.org/W2067136705","https://openalex.org/W2071066275","https://openalex.org/W2072099237","https://openalex.org/W2076729365","https://openalex.org/W2080063652","https://openalex.org/W2088535056","https://openalex.org/W2090599458","https://openalex.org/W2090704787","https://openalex.org/W2094884329","https://openalex.org/W2095470955","https://openalex.org/W2106565812","https://openalex.org/W2116729868","https://openalex.org/W2118085053","https://openalex.org/W2124805476","https://openalex.org/W2129288307","https://openalex.org/W2130727150","https://openalex.org/W2160642865","https://openalex.org/W2184266932","https://openalex.org/W2250928322","https://openalex.org/W2314914323","https://openalex.org/W2323645990","https://openalex.org/W2463117017","https://openalex.org/W2486801753","https://openalex.org/W2507484451","https://openalex.org/W2519554845","https://openalex.org/W2523228639","https://openalex.org/W2588054282","https://openalex.org/W2589656637","https://openalex.org/W2595371380","https://openalex.org/W2734594650","https://openalex.org/W2769258003","https://openalex.org/W2794063120","https://openalex.org/W2795572994","https://openalex.org/W2798028937","https://openalex.org/W2851699097","https://openalex.org/W2914074116","https://openalex.org/W2951528711","https://openalex.org/W2955381936","https://openalex.org/W2957713991","https://openalex.org/W2959989453","https://openalex.org/W2963149381","https://openalex.org/W2963203428","https://openalex.org/W2963533073","https://openalex.org/W2974657414","https://openalex.org/W4211077197","https://openalex.org/W4255625201"],"related_works":["https://openalex.org/W4394883359","https://openalex.org/W1602624896","https://openalex.org/W1519862060","https://openalex.org/W1634993130","https://openalex.org/W2084061773","https://openalex.org/W2104564563","https://openalex.org/W32300376","https://openalex.org/W2794917831","https://openalex.org/W2013108996","https://openalex.org/W3023224836"],"abstract_inverted_index":{"202107":[0],"bcvc":[1]},"counts_by_year":[{"year":2026,"cited_by_count":30},{"year":2025,"cited_by_count":57},{"year":2024,"cited_by_count":57},{"year":2023,"cited_by_count":48},{"year":2022,"cited_by_count":41},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":7}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
