{"id":"https://openalex.org/W4385361694","doi":"https://doi.org/10.1007/s10915-023-02296-1","title":"A Uniquely Solvable, Positivity-Preserving and Unconditionally Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation with Logarithmic Potential","display_name":"A Uniquely Solvable, Positivity-Preserving and Unconditionally Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation with Logarithmic Potential","publication_year":2023,"publication_date":"2023-07-27","ids":{"openalex":"https://openalex.org/W4385361694","doi":"https://doi.org/10.1007/s10915-023-02296-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02296-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02296-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","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/A5100693236","display_name":"Wenbin Chen","orcid":"https://orcid.org/0000-0001-8305-0764"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenbin Chen","raw_affiliation_strings":["School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071122240","display_name":"Jianyu Jing","orcid":null},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianyu Jing","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, 200433, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004549584","display_name":"Hao Wu","orcid":"https://orcid.org/0000-0003-0342-4709"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Wu","raw_affiliation_strings":["School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China"],"raw_orcid":"https://orcid.org/0000-0003-0342-4709","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100693236"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7469,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.65087774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"96","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9997000098228455,"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":0.9997000098228455,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9832000136375427,"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"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9829999804496765,"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":0.8509998321533203},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6118345856666565},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.524431049823761},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.48797911405563354},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4722920060157776},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46950650215148926},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.46377745270729065},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.4501608610153198},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44646477699279785},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4207971692085266},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.18020892143249512},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12178823351860046}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8509998321533203},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6118345856666565},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.524431049823761},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.48797911405563354},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4722920060157776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46950650215148926},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.46377745270729065},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.4501608610153198},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44646477699279785},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4207971692085266},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.18020892143249512},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12178823351860046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-023-02296-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02296-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2157888273","display_name":null,"funder_award_id":"12241101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3268513699","display_name":null,"funder_award_id":"12071090","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4754883191","display_name":null,"funder_award_id":"12071084","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":82,"referenced_works":["https://openalex.org/W1182786571","https://openalex.org/W1541425020","https://openalex.org/W1714270543","https://openalex.org/W1965753687","https://openalex.org/W1966227249","https://openalex.org/W1973118344","https://openalex.org/W1974688481","https://openalex.org/W1979743485","https://openalex.org/W1984295293","https://openalex.org/W1991547299","https://openalex.org/W2007951426","https://openalex.org/W2008209583","https://openalex.org/W2011556506","https://openalex.org/W2022801748","https://openalex.org/W2023712420","https://openalex.org/W2029449803","https://openalex.org/W2030257712","https://openalex.org/W2031651409","https://openalex.org/W2031734874","https://openalex.org/W2032320503","https://openalex.org/W2034879619","https://openalex.org/W2037963783","https://openalex.org/W2041897603","https://openalex.org/W2046528357","https://openalex.org/W2060660579","https://openalex.org/W2062546043","https://openalex.org/W2080287509","https://openalex.org/W2083154033","https://openalex.org/W2083629653","https://openalex.org/W2086238793","https://openalex.org/W2091453196","https://openalex.org/W2097881072","https://openalex.org/W2112771763","https://openalex.org/W2121181367","https://openalex.org/W2128204029","https://openalex.org/W2128635087","https://openalex.org/W2130183954","https://openalex.org/W2135440720","https://openalex.org/W2137014774","https://openalex.org/W2150388881","https://openalex.org/W2159477611","https://openalex.org/W2171628686","https://openalex.org/W2285496323","https://openalex.org/W2329437755","https://openalex.org/W2463455424","https://openalex.org/W2521393946","https://openalex.org/W2569713119","https://openalex.org/W2585186090","https://openalex.org/W2626341890","https://openalex.org/W2747689913","https://openalex.org/W2767357349","https://openalex.org/W2789891565","https://openalex.org/W2917228799","https://openalex.org/W2919240252","https://openalex.org/W2959266190","https://openalex.org/W2962689056","https://openalex.org/W2962815619","https://openalex.org/W2963236482","https://openalex.org/W2963566052","https://openalex.org/W2963779250","https://openalex.org/W2981771356","https://openalex.org/W3015453200","https://openalex.org/W3080439246","https://openalex.org/W3080973674","https://openalex.org/W3092227396","https://openalex.org/W3093865604","https://openalex.org/W3098765149","https://openalex.org/W3114733320","https://openalex.org/W3131450889","https://openalex.org/W3131865191","https://openalex.org/W3133356548","https://openalex.org/W3135358591","https://openalex.org/W3139135938","https://openalex.org/W3141939412","https://openalex.org/W3180432131","https://openalex.org/W3203278930","https://openalex.org/W3210582219","https://openalex.org/W4200125257","https://openalex.org/W4200633650","https://openalex.org/W4206255168","https://openalex.org/W4214891591","https://openalex.org/W6634255723"],"related_works":["https://openalex.org/W2163330118","https://openalex.org/W3166409534","https://openalex.org/W2378075577","https://openalex.org/W2963236482","https://openalex.org/W2913677680","https://openalex.org/W2772521763","https://openalex.org/W2740439779","https://openalex.org/W2012055655","https://openalex.org/W4225145864","https://openalex.org/W4200019024"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
