{"id":"https://openalex.org/W1989768442","doi":"https://doi.org/10.1007/s00211-006-0680-3","title":"Conserved quantities of some Hamiltonian wave equations after full discretization","display_name":"Conserved quantities of some Hamiltonian wave equations after full discretization","publication_year":2006,"publication_date":"2006-03-13","ids":{"openalex":"https://openalex.org/W1989768442","doi":"https://doi.org/10.1007/s00211-006-0680-3","mag":"1989768442"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-006-0680-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0680-3","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/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":true,"raw_author_name":"B. Cano","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universidad de Valladolid, C/Doctor Mergelina s/n, 47011, Valladolid, Spain","Departamento de Matem\u00e1tica Aplicada, Universidad de Valladolid, Valladolid, Spain 47011#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad de Valladolid, C/Doctor Mergelina s/n, 47011, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universidad de Valladolid, Valladolid, Spain 47011#TAB#","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074218001"],"corresponding_institution_ids":["https://openalex.org/I108103353"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.2111,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.97738693,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"103","issue":"2","first_page":"197","last_page":"223"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8615663051605225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8571356534957886},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.7363213300704956},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.5786202549934387},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5384032726287842},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5187271237373352},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5178378224372864},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5153688788414001},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.48816877603530884},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.4835910201072693},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.45597729086875916},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4242750108242035},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3760606348514557},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3615221381187439},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17256581783294678},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.10310137271881104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10257154703140259},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07876679301261902}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8615663051605225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8571356534957886},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.7363213300704956},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5786202549934387},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5384032726287842},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5187271237373352},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5178378224372864},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5153688788414001},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.48816877603530884},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4835910201072693},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.45597729086875916},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4242750108242035},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3760606348514557},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3615221381187439},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17256581783294678},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.10310137271881104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10257154703140259},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07876679301261902}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-006-0680-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0680-3","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":[{"id":"https://openalex.org/F4320324500","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18"},{"id":"https://openalex.org/F4320333059","display_name":"Nutrition Obesity Research Center, University of North Carolina","ror":"https://ror.org/02f0bym65"},{"id":"https://openalex.org/F4320334022","display_name":"Nutrition Obesity Research Center at Harvard","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1508154630","https://openalex.org/W1512851657","https://openalex.org/W1544770838","https://openalex.org/W1972620114","https://openalex.org/W1974978910","https://openalex.org/W1979507655","https://openalex.org/W1992513039","https://openalex.org/W1993814196","https://openalex.org/W2006597156","https://openalex.org/W2010715349","https://openalex.org/W2015331834","https://openalex.org/W2015946804","https://openalex.org/W2021579602","https://openalex.org/W2026237262","https://openalex.org/W2037864736","https://openalex.org/W2055459893","https://openalex.org/W2063402902","https://openalex.org/W2080091608","https://openalex.org/W2084367325","https://openalex.org/W2085252929","https://openalex.org/W2089258846","https://openalex.org/W2112405917","https://openalex.org/W2157915828","https://openalex.org/W2244643685","https://openalex.org/W2341059552","https://openalex.org/W2798910916","https://openalex.org/W2947056241","https://openalex.org/W4206236195","https://openalex.org/W4230815738"],"related_works":["https://openalex.org/W2108729303","https://openalex.org/W2950033262","https://openalex.org/W2019594664","https://openalex.org/W25827740","https://openalex.org/W2962845032","https://openalex.org/W2027000851","https://openalex.org/W2952306674","https://openalex.org/W4298036990","https://openalex.org/W1994184409","https://openalex.org/W2771242407"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
