{"id":"https://openalex.org/W1509688115","doi":"https://doi.org/10.1007/11557265_61","title":"A Parallel Exponential Integrator for Large-Scale Discretizations of Advection-Diffusion Models","display_name":"A Parallel Exponential Integrator for Large-Scale Discretizations of Advection-Diffusion Models","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1509688115","doi":"https://doi.org/10.1007/11557265_61","mag":"1509688115"},"language":"en","primary_location":{"id":"doi:10.1007/11557265_61","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11557265_61","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5089013612","display_name":"Luca Bergamaschi","orcid":"https://orcid.org/0000-0001-8273-9674"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Bergamaschi","raw_affiliation_strings":["Department of Mathematical Methods and Models for Scientific Applications, University of Padua, Italy","Department of Mathematical Methods and Models for Scientific Applications University of Padua, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Methods and Models for Scientific Applications, University of Padua, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Mathematical Methods and Models for Scientific Applications University of Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025544508","display_name":"Marco Caliari","orcid":"https://orcid.org/0000-0002-1277-069X"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Caliari","raw_affiliation_strings":["Department of Computer Science, University of Verona, Italy","Department of Computer Science, Univ. of Verona, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Verona, Italy","institution_ids":["https://openalex.org/I119439378"]},{"raw_affiliation_string":"Department of Computer Science, Univ. of Verona, Italy","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048616941","display_name":"\u00c1ngeles Mart\u00ednez","orcid":"https://orcid.org/0000-0003-4826-1114"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Mart\u00ednez","raw_affiliation_strings":["Department of Mathematical Methods and Models for Scientific Applications, University of Padua, Italy","Department of Mathematical Methods and Models for Scientific Applications University of Padua, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Methods and Models for Scientific Applications, University of Padua, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Mathematical Methods and Models for Scientific Applications University of Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082103769","display_name":"Michelangelo Vianello","orcid":"https://orcid.org/0000-0002-1530-1469"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Vianello","raw_affiliation_strings":["Department of Pure and Applied Mathematics, University of Padua, Italy","[Department of Pure and Applied Mathematics, University of Padua, Italy]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics, University of Padua, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"[Department of Pure and Applied Mathematics, University of Padua, Italy]","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8915,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.9112628,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"483","last_page":"492"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7160699367523193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6794553995132446},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.6632617712020874},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6354915499687195},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5840703248977661},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5770915746688843},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5188382863998413},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5184880495071411},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.4865938425064087},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.46902337670326233},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4101509749889374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.337704598903656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2453935742378235},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.23774024844169617},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.1509542167186737},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12237712740898132},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09793621301651001}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7160699367523193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6794553995132446},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.6632617712020874},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6354915499687195},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5840703248977661},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5770915746688843},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5188382863998413},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5184880495071411},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.4865938425064087},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.46902337670326233},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4101509749889374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.337704598903656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2453935742378235},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.23774024844169617},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.1509542167186737},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12237712740898132},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09793621301651001},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11557265_61","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11557265_61","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:www.research.unipd.it:11577/2467548","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2467548","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W239640617","https://openalex.org/W1479747151","https://openalex.org/W1552024710","https://openalex.org/W1575350781","https://openalex.org/W1994805693","https://openalex.org/W2010652522","https://openalex.org/W2112966019","https://openalex.org/W2113478610","https://openalex.org/W2155216327","https://openalex.org/W2495037959","https://openalex.org/W2914896503","https://openalex.org/W3108525348"],"related_works":["https://openalex.org/W2357336958","https://openalex.org/W4281839678","https://openalex.org/W1970414682","https://openalex.org/W2283235658","https://openalex.org/W2325733899","https://openalex.org/W3022662421","https://openalex.org/W2066041241","https://openalex.org/W3120468868","https://openalex.org/W1567048268","https://openalex.org/W1970273404"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
