{"id":"https://openalex.org/W4221104054","doi":"https://doi.org/10.1007/s11075-022-01285-z","title":"Arbitrarily high-order energy-conserving methods for Poisson problems","display_name":"Arbitrarily high-order energy-conserving methods for Poisson problems","publication_year":2022,"publication_date":"2022-03-09","ids":{"openalex":"https://openalex.org/W4221104054","doi":"https://doi.org/10.1007/s11075-022-01285-z"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-022-01285-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01285-z","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s11075-022-01285-z","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076074001","display_name":"Pierluigi Amodio","orcid":"https://orcid.org/0000-0003-3372-0162"},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pierluigi Amodio","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bari, Bari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bari, Bari, Italy","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036669637","display_name":"Luigi Brugnano","orcid":"https://orcid.org/0000-0002-6290-4107"},"institutions":[{"id":"https://openalex.org/I4402554200","display_name":"Liceo scientifico statale Ulisse Dini","ror":"https://ror.org/006xg2x43","country_code":null,"type":"education","lineage":["https://openalex.org/I4402554200"]},{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luigi Brugnano","raw_affiliation_strings":["Dipartimento di Matematica e Informatica \u201cU. Dini\u201d, Universit\u00e0 di Firenze, Firenze, Italy","Dipartimento di Matematica e Informatica \"U. Dini\", Universit\u00e0 di Firenze, Firenze, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6290-4107","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \u201cU. Dini\u201d, Universit\u00e0 di Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I4402554200","https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica \"U. Dini\", Universit\u00e0 di Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I4402554200","https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084316854","display_name":"Felice Iavernaro","orcid":"https://orcid.org/0000-0002-9716-7370"},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Felice Iavernaro","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bari, Bari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bari, Bari, Italy","institution_ids":["https://openalex.org/I5561750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036669637"],"corresponding_institution_ids":["https://openalex.org/I4402554200","https://openalex.org/I45084792"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":4.1328,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.9470943,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"91","issue":"2","first_page":"861","last_page":"894"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"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":1.0,"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":0.9995999932289124,"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/theory-of-computation","display_name":"Theory of computation","score":0.7491101026535034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6663589477539062},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.6546545624732971},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5764416456222534},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5756469368934631},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5082356333732605},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5072430968284607},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4976954758167267},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4659932851791382},{"id":"https://openalex.org/keywords/conservation-of-energy","display_name":"Conservation of energy","score":0.45669394731521606},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43776506185531616},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.41465163230895996},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.37775495648384094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2585912346839905},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22245708107948303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21105217933654785},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10652762651443481}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7491101026535034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6663589477539062},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6546545624732971},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5764416456222534},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5756469368934631},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5082356333732605},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5072430968284607},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4976954758167267},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4659932851791382},{"id":"https://openalex.org/C52957995","wikidata":"https://www.wikidata.org/wiki/Q11382","display_name":"Conservation of energy","level":2,"score":0.45669394731521606},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43776506185531616},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.41465163230895996},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.37775495648384094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2585912346839905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22245708107948303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21105217933654785},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10652762651443481},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11075-022-01285-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01285-z","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2110.14292","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.14292","pdf_url":"https://arxiv.org/pdf/2110.14292","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:flore.unifi.it:2158/1260328","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2110.14292","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01285-z.pdf","source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ricerca.uniba.it:11586/413393","is_oa":true,"landing_page_url":"https://hdl.handle.net/11586/413393","pdf_url":"https://ricerca.uniba.it/bitstream/11586/413393/1/s11075-022-01285-z.pdf","source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11075-022-01285-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01285-z","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.4399999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322648","display_name":"Universit\u00e0 degli Studi di Firenze","ror":"https://ror.org/04jr1s763"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1621098138","https://openalex.org/W1973060549","https://openalex.org/W1974120012","https://openalex.org/W2003706036","https://openalex.org/W2058760007","https://openalex.org/W2066954616","https://openalex.org/W2076009300","https://openalex.org/W2081287525","https://openalex.org/W2112008659","https://openalex.org/W2114488376","https://openalex.org/W2117540737","https://openalex.org/W2128757785","https://openalex.org/W2149255560","https://openalex.org/W2157852777","https://openalex.org/W2165764767","https://openalex.org/W2167917196","https://openalex.org/W2340680806","https://openalex.org/W2615042878","https://openalex.org/W2771014479","https://openalex.org/W2779555241","https://openalex.org/W2807699221","https://openalex.org/W2887132110","https://openalex.org/W2901825682","https://openalex.org/W2918448219","https://openalex.org/W2963842175","https://openalex.org/W2969232873","https://openalex.org/W3098234845","https://openalex.org/W3100258414","https://openalex.org/W3101466223","https://openalex.org/W3204348208","https://openalex.org/W3212944845","https://openalex.org/W4241597220"],"related_works":["https://openalex.org/W1488915263","https://openalex.org/W2077799587","https://openalex.org/W2075972694","https://openalex.org/W2064563243","https://openalex.org/W2138098899","https://openalex.org/W4250775169","https://openalex.org/W2081706695","https://openalex.org/W1546343339","https://openalex.org/W2039023896","https://openalex.org/W2028790718"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"are":[5,14,53],"concerned":[6],"with":[7,41],"energy-conserving":[8,27],"methods":[9,28,37],"for":[10,29],"Poisson":[11],"problems,":[12],"which":[13],"effectively":[15],"solved":[16],"by":[17],"defining":[18],"a":[19,24,42],"suitable":[20],"generalization":[21],"of":[22,26,35,48],"HBVMs,":[23],"class":[25],"Hamiltonian":[30],"problems.":[31],"The":[32],"actual":[33],"implementation":[34],"the":[36,46,59],"is":[38],"fully":[39],"discussed,":[40],"particular":[43],"emphasis":[44],"on":[45],"conservation":[47],"Casimirs.":[49],"Some":[50],"numerical":[51],"tests":[52],"reported,":[54],"in":[55],"order":[56],"to":[57],"assess":[58],"theoretical":[60],"findings.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
