{"id":"https://openalex.org/W4214505126","doi":"https://doi.org/10.1137/21m1421386","title":"Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data","display_name":"Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data","publication_year":2022,"publication_date":"2022-03-01","ids":{"openalex":"https://openalex.org/W4214505126","doi":"https://doi.org/10.1137/21m1421386"},"language":"en","primary_location":{"id":"doi:10.1137/21m1421386","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1421386","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Journal on Numerical Analysis","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/A5039197834","display_name":"Buyang Li","orcid":"https://orcid.org/0000-0001-7566-3464"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Buyang Li","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7566-3464","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024118303","display_name":"Shu Ma","orcid":"https://orcid.org/0000-0002-9172-9678"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shu Ma","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9172-9678","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039197834"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5206,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.95722733,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"60","issue":"2","first_page":"503","last_page":"528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9995999932289124,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9980999827384949,"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":0.8386037349700928},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.7687759399414062},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6662663221359253},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6075096726417542},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5468355417251587},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5425480008125305},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.47395777702331543},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.4727690517902374},{"id":"https://openalex.org/keywords/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.42023012042045593},{"id":"https://openalex.org/keywords/tanh-sinh-quadrature","display_name":"Tanh-sinh quadrature","score":0.41496044397354126},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.3713630437850952},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36920759081840515},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.3305117189884186}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8386037349700928},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7687759399414062},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6662663221359253},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6075096726417542},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5468355417251587},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5425480008125305},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.47395777702331543},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.4727690517902374},{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.42023012042045593},{"id":"https://openalex.org/C162046254","wikidata":"https://www.wikidata.org/wiki/Q7683194","display_name":"Tanh-sinh quadrature","level":5,"score":0.41496044397354126},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.3713630437850952},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36920759081840515},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3305117189884186},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1421386","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1421386","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Journal on Numerical Analysis","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":33,"referenced_works":["https://openalex.org/W1969312973","https://openalex.org/W1984613947","https://openalex.org/W2009872262","https://openalex.org/W2009949889","https://openalex.org/W2013949194","https://openalex.org/W2017611864","https://openalex.org/W2047522104","https://openalex.org/W2048909372","https://openalex.org/W2053384289","https://openalex.org/W2071268148","https://openalex.org/W2079024344","https://openalex.org/W2084423306","https://openalex.org/W2088789193","https://openalex.org/W2165076033","https://openalex.org/W2168824372","https://openalex.org/W2328902166","https://openalex.org/W2511264644","https://openalex.org/W2560003211","https://openalex.org/W2601627861","https://openalex.org/W2608656286","https://openalex.org/W2619423951","https://openalex.org/W2781523636","https://openalex.org/W2794616828","https://openalex.org/W2889152654","https://openalex.org/W2953890883","https://openalex.org/W2963887505","https://openalex.org/W3013039183","https://openalex.org/W3016396690","https://openalex.org/W3016623442","https://openalex.org/W3038351969","https://openalex.org/W3098295690","https://openalex.org/W3098333777","https://openalex.org/W3100497057"],"related_works":["https://openalex.org/W4237740072","https://openalex.org/W2929787118","https://openalex.org/W1995933053","https://openalex.org/W4389939969","https://openalex.org/W1996820786","https://openalex.org/W2079157924","https://openalex.org/W2552202259","https://openalex.org/W2060306845","https://openalex.org/W2085430647","https://openalex.org/W2962856066"],"abstract_inverted_index":{"An":[0],"exponential":[1,37,55],"type":[2],"of":[3,28,33,66,75],"convolution":[4,56],"quadrature":[5,31,57],"is":[6],"proposed":[7,53],"as":[8],"a":[9],"time-stepping":[10],"method":[11,23],"for":[12,39,62],"the":[13,29,49,67,76],"nonlinear":[14,68],"subdiffusion":[15,69],"equation":[16,70],"with":[17,78],"bounded":[18,63,79],"measurable":[19,64,80],"initial":[20,50,81],"data.":[21,82],"The":[22,52],"combines":[24],"contour":[25,34],"integral":[26],"representation":[27],"solution,":[30],"approximation":[32],"integrals,":[35],"multistep":[36],"integrators":[38],"ordinary":[40],"differential":[41],"equations,":[42],"and":[43],"locally":[44],"refined":[45],"stepsizes":[46],"to":[47],"resolve":[48],"singularity.":[51],"$k$-step":[54],"can":[58],"have":[59],"$k$th-order":[60],"convergence":[61],"solutions":[65],"based":[71],"on":[72],"natural":[73],"regularity":[74],"solution":[77]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
