{"id":"https://openalex.org/W4413128088","doi":"https://doi.org/10.1007/s00211-025-01478-3","title":"A space\u2013time continuous and coercive formulation for the wave equation","display_name":"A space\u2013time continuous and coercive formulation for the wave equation","publication_year":2025,"publication_date":"2025-08-01","ids":{"openalex":"https://openalex.org/W4413128088","doi":"https://doi.org/10.1007/s00211-025-01478-3"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-025-01478-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-025-01478-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5093487461","display_name":"Paolo Bignardi","orcid":null},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Paolo Bignardi","raw_affiliation_strings":["Dipartimento di Matematica \u201cF. Casorati\u201d, Universit\u00e0 di Pavia, Pavia, Italy","Dipartimento di Matematica \"F. Casorati\", Universit\u00e0 di Pavia, Pavia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cF. Casorati\u201d, Universit\u00e0 di Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"Dipartimento di Matematica \"F. Casorati\", Universit\u00e0 di Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045318480","display_name":"Andrea Moiola","orcid":"https://orcid.org/0000-0002-6251-4440"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Moiola","raw_affiliation_strings":["Dipartimento di Matematica \u201cF. Casorati\u201d, Universit\u00e0 di Pavia, Pavia, Italy","Dipartimento di Matematica \"F. Casorati\", Universit\u00e0 di Pavia, Pavia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cF. Casorati\u201d, Universit\u00e0 di Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"Dipartimento di Matematica \"F. Casorati\", Universit\u00e0 di Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5093487461"],"corresponding_institution_ids":["https://openalex.org/I25217355"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.304,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.94341022,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"157","issue":"4","first_page":"1211","last_page":"1258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T10514","display_name":"Numerical methods in engineering","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/mathematics","display_name":"Mathematics","score":0.7862746119499207},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.6131213903427124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5375933051109314},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.49324244260787964},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.47040635347366333},{"id":"https://openalex.org/keywords/coercivity","display_name":"Coercivity","score":0.42870259284973145},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3720906972885132},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13385355472564697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07934615015983582}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7862746119499207},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.6131213903427124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5375933051109314},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.49324244260787964},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47040635347366333},{"id":"https://openalex.org/C126530901","wikidata":"https://www.wikidata.org/wiki/Q432635","display_name":"Coercivity","level":2,"score":0.42870259284973145},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3720906972885132},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13385355472564697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07934615015983582},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-025-01478-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-025-01478-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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":31,"referenced_works":["https://openalex.org/W44035921","https://openalex.org/W592368443","https://openalex.org/W1521778258","https://openalex.org/W2021049593","https://openalex.org/W2023862725","https://openalex.org/W2037763703","https://openalex.org/W2064159631","https://openalex.org/W2074623661","https://openalex.org/W2080668001","https://openalex.org/W2093151475","https://openalex.org/W2107692173","https://openalex.org/W2121079062","https://openalex.org/W2152583013","https://openalex.org/W2169691892","https://openalex.org/W2955989661","https://openalex.org/W2962912871","https://openalex.org/W2962932257","https://openalex.org/W2963223245","https://openalex.org/W3014898465","https://openalex.org/W3018801077","https://openalex.org/W3135949639","https://openalex.org/W3175552985","https://openalex.org/W3187791840","https://openalex.org/W3204708751","https://openalex.org/W4224248463","https://openalex.org/W4246936841","https://openalex.org/W4281716675","https://openalex.org/W4310886344","https://openalex.org/W4323830097","https://openalex.org/W4400618978","https://openalex.org/W4408283201"],"related_works":["https://openalex.org/W1979864087","https://openalex.org/W2044642251","https://openalex.org/W3093027776","https://openalex.org/W1986796332","https://openalex.org/W4283367861","https://openalex.org/W2909854803","https://openalex.org/W850259343","https://openalex.org/W2609179044","https://openalex.org/W2022128204","https://openalex.org/W4285308861"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2025-10-10T00:00:00"}