{"id":"https://openalex.org/W1983003764","doi":"https://doi.org/10.1090/s0025-5718-04-01660-6","title":"Spectral-fractional step Runge\u2013Kutta discretizations for initial boundary value problems with time dependent boundary conditions","display_name":"Spectral-fractional step Runge\u2013Kutta discretizations for initial boundary value problems with time dependent boundary conditions","publication_year":2004,"publication_date":"2004-04-20","ids":{"openalex":"https://openalex.org/W1983003764","doi":"https://doi.org/10.1090/s0025-5718-04-01660-6","mag":"1983003764"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-04-01660-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-04-01660-6","pdf_url":"https://www.ams.org/mcom/2004-73-248/S0025-5718-04-01660-6/S0025-5718-04-01660-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2004-73-248/S0025-5718-04-01660-6/S0025-5718-04-01660-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082269403","display_name":"I. Alonso-Mallo","orcid":"https://orcid.org/0000-0002-4914-4190"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"I. Alonso-Mallo","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica Aplicada y Computaci\u00c3\u00b3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain","Departamento de Matem\u00e1tica Aplicada y Computaci\u00f3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica Aplicada y Computaci\u00c3\u00b3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y Computaci\u00f3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074218001","display_name":"B. Cano","orcid":"https://orcid.org/0000-0002-9212-9156"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"B. Cano","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica Aplicada y Computaci\u00c3\u00b3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain","Departamento de Matem\u00e1tica Aplicada y Computaci\u00f3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica Aplicada y Computaci\u00c3\u00b3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y Computaci\u00f3n, Facultad de Ciencias, Universidad de Valladolid, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059140450","display_name":"Joaquim Jorge","orcid":"https://orcid.org/0000-0001-5441-4637"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad P\u00fablica de Navarra (UPNA)","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Jorge","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1tica e Inform\u00c3\u00a1tica, Universidad P\u00c3\u00bablica de Navarra, 31006 Pamplona, Spain","Departamento de Matem\u00e1tica e Inform\u00e1tica , Universidad P\u00fablica de Navarra , 31006, Pamplona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1tica e Inform\u00c3\u00a1tica, Universidad P\u00c3\u00bablica de Navarra, 31006 Pamplona, Spain","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica e Inform\u00e1tica , Universidad P\u00fablica de Navarra , 31006, Pamplona, Spain","institution_ids":["https://openalex.org/I175051016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9951,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.84015892,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"73","issue":"248","first_page":"1801","last_page":"1825"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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":0.9998999834060669,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.858588695526123},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.8472011089324951},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7515947818756104},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6428036689758301},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6416841745376587},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.5349302291870117},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5161963105201721},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4967218041419983},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47064608335494995},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44369080662727356},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4361334443092346},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4323100745677948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07218873500823975}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.858588695526123},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.8472011089324951},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7515947818756104},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6428036689758301},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6416841745376587},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.5349302291870117},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5161963105201721},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4967218041419983},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47064608335494995},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44369080662727356},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4361334443092346},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4323100745677948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07218873500823975},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-04-01660-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-04-01660-6","pdf_url":"https://www.ams.org/mcom/2004-73-248/S0025-5718-04-01660-6/S0025-5718-04-01660-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.154.3815","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.3815","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2004-73-248/S0025-5718-04-01660-6/S0025-5718-04-01660-6.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-04-01660-6","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-04-01660-6","pdf_url":"https://www.ams.org/mcom/2004-73-248/S0025-5718-04-01660-6/S0025-5718-04-01660-6.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320328351","display_name":"Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"},{"id":"https://openalex.org/F4320329682","display_name":"Gobierno de Navarra","ror":"https://ror.org/025qq4838"},{"id":"https://openalex.org/F4320330034","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1983003764.pdf","grobid_xml":"https://content.openalex.org/works/W1983003764.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W80685761","https://openalex.org/W85719053","https://openalex.org/W104688703","https://openalex.org/W235449542","https://openalex.org/W578551519","https://openalex.org/W1556905463","https://openalex.org/W1965251554","https://openalex.org/W1969810270","https://openalex.org/W1975244310","https://openalex.org/W1999756879","https://openalex.org/W2000827034","https://openalex.org/W2004623263","https://openalex.org/W2007012886","https://openalex.org/W2009055753","https://openalex.org/W2010294653","https://openalex.org/W2014319905","https://openalex.org/W2019971825","https://openalex.org/W2026326366","https://openalex.org/W2035155528","https://openalex.org/W2063974582","https://openalex.org/W2065888571","https://openalex.org/W2095036901","https://openalex.org/W2120650156","https://openalex.org/W2125383810","https://openalex.org/W2137009144","https://openalex.org/W2153059802","https://openalex.org/W2153207859","https://openalex.org/W2279062031","https://openalex.org/W2587498379","https://openalex.org/W4234823939","https://openalex.org/W4236206528","https://openalex.org/W4237941720","https://openalex.org/W4254092122"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W4206768127","https://openalex.org/W1492103595","https://openalex.org/W4293683879","https://openalex.org/W2253637996","https://openalex.org/W4388482258","https://openalex.org/W2474709654","https://openalex.org/W2927461974","https://openalex.org/W2085342700"],"abstract_inverted_index":{"In":[0],"this":[1,97,114],"paper":[2],"we":[3],"develop":[4],"a":[5,39,45,61,92],"technique":[6,115],"for":[7],"avoiding":[8],"the":[9,18,36,55,87,109],"order":[10],"reduction":[11],"caused":[12],"by":[13],"nonconstant":[14],"boundary":[15],"conditions":[16],"in":[17,41],"methods":[19,31,76,80],"called":[20,54],"splitting,":[21],"alternating":[22],"direction":[23],"or,":[24],"more":[25],"generally,":[26],"fractional":[27,56],"step":[28,57],"methods.":[29],"Such":[30],"can":[32,66],"be":[33,67],"viewed":[34],"as":[35],"combination":[37],"of":[38,48,68,89,91,96,99,111],"semidiscrete":[40],"time":[42],"procedure":[43],"with":[44],"special":[46],"type":[47,69,98],"additive":[49],"Runge\u2013Kutta":[50,58],"method,":[51,59],"which":[52,65],"is":[53],"and":[60],"standard":[62],"space":[63],"discretization":[64],"finite":[70,72],"differences,":[71],"elements":[73],"or":[74],"spectral":[75],"among":[77],"others.":[78],"Spectral":[79],"have":[81],"been":[82],"chosen":[83],"here":[84],"to":[85],"complete":[86],"analysis":[88],"convergence":[90],"totally":[93],"discrete":[94],"scheme":[95],"improved":[100],"fractionary":[101],"steps.":[102],"The":[103],"numerical":[104],"experiences":[105],"performed":[106],"also":[107],"show":[108],"increase":[110],"accuracy":[112],"that":[113],"provides.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
