{"id":"https://openalex.org/W3031773824","doi":"https://doi.org/10.1007/s10444-020-09789-9","title":"Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation","display_name":"Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation","publication_year":2020,"publication_date":"2020-05-26","ids":{"openalex":"https://openalex.org/W3031773824","doi":"https://doi.org/10.1007/s10444-020-09789-9","mag":"3031773824"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-020-09789-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09789-9","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5100418681","display_name":"Xiaoli Li","orcid":"https://orcid.org/0000-0001-9245-0647"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoli Li","raw_affiliation_strings":["Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen, Fujian, 361005, China","School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, 361005, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen, Fujian, 361005, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, 361005, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028981574","display_name":"Jie Shen","orcid":"https://orcid.org/0000-0002-4885-5732"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jie Shen","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028981574"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.2874,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.93680728,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"46","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":0.9998999834060669,"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9745000004768372,"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/T10670","display_name":"Aluminum Alloy Microstructure Properties","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/mathematics","display_name":"Mathematics","score":0.7136248350143433},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.7089043855667114},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6955702900886536},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.5665808916091919},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5460817813873291},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4769952893257141},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4611980617046356},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.4603033661842346},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43004170060157776},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3511039912700653},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12848129868507385},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09435120224952698}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7136248350143433},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.7089043855667114},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6955702900886536},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.5665808916091919},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5460817813873291},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4769952893257141},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4611980617046356},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4603033661842346},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43004170060157776},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3511039912700653},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12848129868507385},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09435120224952698},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-020-09789-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09789-9","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8799999952316284}],"awards":[{"id":"https://openalex.org/G1397961087","display_name":null,"funder_award_id":"BX20190187","funder_id":"https://openalex.org/F4320335443","funder_display_name":"Postdoctoral Research Foundation of China"},{"id":"https://openalex.org/G2352125494","display_name":null,"funder_award_id":"2019M650152","funder_id":"https://openalex.org/F4320335443","funder_display_name":"Postdoctoral Research Foundation of China"},{"id":"https://openalex.org/G557652880","display_name":null,"funder_award_id":"DMS\u20101720442","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5764398894","display_name":"Fast spectral methods and their applications","funder_award_id":"1620262","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320335443","display_name":"Postdoctoral Research Foundation of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1979546093","https://openalex.org/W2000883601","https://openalex.org/W2029449803","https://openalex.org/W2050969603","https://openalex.org/W2057808716","https://openalex.org/W2093810855","https://openalex.org/W2265162061","https://openalex.org/W2542505516","https://openalex.org/W2593432127","https://openalex.org/W2723327445","https://openalex.org/W2735733562","https://openalex.org/W2766149883","https://openalex.org/W2795784645","https://openalex.org/W2893622182","https://openalex.org/W2902643746","https://openalex.org/W2918931549","https://openalex.org/W2929974466","https://openalex.org/W2973271746","https://openalex.org/W4253937035","https://openalex.org/W6601013545"],"related_works":["https://openalex.org/W4224306892","https://openalex.org/W1574935133","https://openalex.org/W2094684004","https://openalex.org/W31830636","https://openalex.org/W2370547058","https://openalex.org/W1984031140","https://openalex.org/W2094657987","https://openalex.org/W2320412982","https://openalex.org/W4387646299","https://openalex.org/W2122827492"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":4}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
