{"id":"https://openalex.org/W623475049","doi":"https://doi.org/10.1007/s11075-015-0002-x","title":"Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations","display_name":"Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations","publication_year":2015,"publication_date":"2015-05-28","ids":{"openalex":"https://openalex.org/W623475049","doi":"https://doi.org/10.1007/s11075-015-0002-x","mag":"623475049"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-015-0002-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-0002-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5100428681","display_name":"Wenjie Liu","orcid":"https://orcid.org/0000-0002-8357-3415"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenjie Liu","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People\u2019s Republic of China","Department of Mathematics, Harbin Institute of Technology, Harbin, People's Republic of China 150001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, People's Republic of China 150001#TAB#","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101680536","display_name":"Jiebao Sun","orcid":"https://orcid.org/0000-0003-3511-2873"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiebao Sun","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People\u2019s Republic of China","Department of Mathematics, Harbin Institute of Technology, Harbin, People's Republic of China 150001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, People's Republic of China 150001#TAB#","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101820488","display_name":"Boying Wu","orcid":"https://orcid.org/0000-0003-3985-3783"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Boying Wu","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People\u2019s Republic of China","Department of Mathematics, Harbin Institute of Technology, Harbin, People's Republic of China 150001#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, People's Republic of China 150001#TAB#","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100428681"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.6732,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.81354509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"71","issue":"2","first_page":"437","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9986000061035156,"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":0.8771986961364746},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7412200570106506},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7208077907562256},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.6091577410697937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.561343252658844},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5590171217918396},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5247868895530701},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4806446135044098},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.45971089601516724},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45254820585250854},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45207691192626953},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.4349168837070465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4114491641521454},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2639217972755432}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8771986961364746},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7412200570106506},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7208077907562256},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.6091577410697937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.561343252658844},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5590171217918396},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5247868895530701},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4806446135044098},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.45971089601516724},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45254820585250854},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45207691192626953},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.4349168837070465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4114491641521454},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2639217972755432},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-015-0002-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-0002-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G181037567","display_name":null,"funder_award_id":"11301113","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4295320098","display_name":null,"funder_award_id":"51476047","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G732353624","display_name":null,"funder_award_id":"11271100","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":37,"referenced_works":["https://openalex.org/W67237221","https://openalex.org/W99776242","https://openalex.org/W569671260","https://openalex.org/W640428934","https://openalex.org/W1543750907","https://openalex.org/W1592141884","https://openalex.org/W1973142736","https://openalex.org/W1998194668","https://openalex.org/W1998953621","https://openalex.org/W2031171824","https://openalex.org/W2031233998","https://openalex.org/W2033711182","https://openalex.org/W2038329281","https://openalex.org/W2047281867","https://openalex.org/W2050722771","https://openalex.org/W2052743263","https://openalex.org/W2059921764","https://openalex.org/W2067088412","https://openalex.org/W2078886696","https://openalex.org/W2082621526","https://openalex.org/W2082849992","https://openalex.org/W2090704787","https://openalex.org/W2091456785","https://openalex.org/W2094114389","https://openalex.org/W2098681787","https://openalex.org/W2109191469","https://openalex.org/W2142895119","https://openalex.org/W2167657634","https://openalex.org/W2405585242","https://openalex.org/W2410898212","https://openalex.org/W2498216762","https://openalex.org/W3121554115","https://openalex.org/W3150423993","https://openalex.org/W4253937035","https://openalex.org/W4298060601","https://openalex.org/W4300831640","https://openalex.org/W4300846967"],"related_works":["https://openalex.org/W2382532955","https://openalex.org/W2106962382","https://openalex.org/W2541927208","https://openalex.org/W4213342932","https://openalex.org/W2056379897","https://openalex.org/W2410898212","https://openalex.org/W4200376385","https://openalex.org/W2980465122","https://openalex.org/W2020570337","https://openalex.org/W2361346113"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}