{"id":"https://openalex.org/W7164521034","doi":"https://doi.org/10.1007/s12190-026-02842-8","title":"A spectral minimum-residual method for 2D Riesz fractional reaction\u2013diffusion equations with weak endpoint singularities","display_name":"A spectral minimum-residual method for 2D Riesz fractional reaction\u2013diffusion equations with weak endpoint singularities","publication_year":2026,"publication_date":"2026-06-01","ids":{"openalex":"https://openalex.org/W7164521034","doi":"https://doi.org/10.1007/s12190-026-02842-8"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-026-02842-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02842-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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 Applied Mathematics and 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/A5113103617","display_name":"Chaoyue Guan","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chaoyue Guan","raw_affiliation_strings":["School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China","School of Mathematical Sciences, Harbin Normal University, Harbin, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China","institution_ids":["https://openalex.org/I134052481"]},{"raw_affiliation_string":"School of Mathematical Sciences, Harbin Normal University, Harbin, PR China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113103617","display_name":"Chaoyue Guan","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaoyue Guan","raw_affiliation_strings":["School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China","School of Mathematical Sciences, Harbin Normal University, Harbin, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China","institution_ids":["https://openalex.org/I134052481"]},{"raw_affiliation_string":"School of Mathematical Sciences, Harbin Normal University, Harbin, PR China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5125294821","display_name":"Jing Niu","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Niu","raw_affiliation_strings":["School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China","School of Mathematical Sciences, Harbin Normal University, Harbin, PR China"],"raw_orcid":"https://orcid.org/0000-0002-3932-5860","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China","institution_ids":["https://openalex.org/I134052481"]},{"raw_affiliation_string":"School of Mathematical Sciences, Harbin Normal University, Harbin, PR China","institution_ids":["https://openalex.org/I134052481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113103617","https://openalex.org/A5125294821"],"corresponding_institution_ids":["https://openalex.org/I134052481"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.58816982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.8762999773025513,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.8762999773025513,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.027899999171495438,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.023000000044703484,"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/residual","display_name":"Residual","score":0.6858999729156494},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6509000062942505},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5361999869346619},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.5286999940872192},{"id":"https://openalex.org/keywords/dirichlet-conditions","display_name":"Dirichlet conditions","score":0.4677000045776367},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4577000141143799},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.44190001487731934},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42250001430511475},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4120999872684479}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.873199999332428},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6858999729156494},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6509000062942505},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5361999869346619},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5286999940872192},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49559998512268066},{"id":"https://openalex.org/C103302479","wikidata":"https://www.wikidata.org/wiki/Q1227685","display_name":"Dirichlet conditions","level":5,"score":0.4677000045776367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4577000141143799},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4577000141143799},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.44190001487731934},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42250001430511475},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4120999872684479},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4081999957561493},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.37450000643730164},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.37299999594688416},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.3582000136375427},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.33230000734329224},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.32280001044273376},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3050999939441681},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-026-02842-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-026-02842-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1966513244","https://openalex.org/W2052623210","https://openalex.org/W2068042821","https://openalex.org/W2105723279","https://openalex.org/W2107162131","https://openalex.org/W2111271983","https://openalex.org/W2297078120","https://openalex.org/W2325660078","https://openalex.org/W2395085125","https://openalex.org/W2899982045","https://openalex.org/W3180274037","https://openalex.org/W3190532977","https://openalex.org/W4211228115","https://openalex.org/W4247375400","https://openalex.org/W4253937035","https://openalex.org/W4281990829","https://openalex.org/W4286432971","https://openalex.org/W4293106097","https://openalex.org/W4386024449","https://openalex.org/W4387142789","https://openalex.org/W4396677623","https://openalex.org/W4396828434","https://openalex.org/W4400588668","https://openalex.org/W4407051464","https://openalex.org/W4408078611","https://openalex.org/W4412644399","https://openalex.org/W4415317779","https://openalex.org/W4416129499","https://openalex.org/W7116806706","https://openalex.org/W7140720592"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-30T07:30:35.949966","created_date":"2026-06-13T00:00:00"}
