{"id":"https://openalex.org/W2088291682","doi":"https://doi.org/10.1007/s00211-007-0123-9","title":"Energy-conserved splitting FDTD methods for Maxwell\u2019s equations","display_name":"Energy-conserved splitting FDTD methods for Maxwell\u2019s equations","publication_year":2007,"publication_date":"2007-11-27","ids":{"openalex":"https://openalex.org/W2088291682","doi":"https://doi.org/10.1007/s00211-007-0123-9","mag":"2088291682"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-007-0123-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0123-9","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/A5100693236","display_name":"Wenbin Chen","orcid":"https://orcid.org/0000-0001-8305-0764"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenbin Chen","raw_affiliation_strings":["School of Mathematics, Fudan University, Shanghai, People\u2019s Republic of China","School of Mathematics, Fudan University, Shanghai, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Fudan University, Shanghai, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematics, Fudan University, Shanghai, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100692380","display_name":"Xingjie Li","orcid":"https://orcid.org/0000-0001-8760-0372"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Xingjie Li","raw_affiliation_strings":["School of Mathematics, Fudan University, Shanghai, People\u2019s Republic of China","School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","School of Mathematics, Fudan University, Shanghai, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Fudan University, Shanghai, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Mathematics, Fudan University, Shanghai, People's Republic of China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100692551","display_name":"Dong Liang","orcid":"https://orcid.org/0000-0003-1898-5920"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dong Liang","raw_affiliation_strings":["Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, Canada","institution_ids":["https://openalex.org/I192455969"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100693236"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4361,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.82937281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"108","issue":"3","first_page":"445","last_page":"485"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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":0.9932000041007996,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7946200966835022},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7057982683181763},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6730403900146484},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6491686105728149},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5573747754096985},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5508188009262085},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5273581147193909},{"id":"https://openalex.org/keywords/finite-difference-time-domain-method","display_name":"Finite-difference time-domain method","score":0.49669986963272095},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4780069887638092},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4684930741786957},{"id":"https://openalex.org/keywords/conserved-quantity","display_name":"Conserved quantity","score":0.46418920159339905},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4605637192726135},{"id":"https://openalex.org/keywords/scattering-matrix-method","display_name":"Scattering-matrix method","score":0.43642711639404297},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4253648817539215},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.21349069476127625},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19363966584205627},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10221132636070251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09312328696250916}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7946200966835022},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7057982683181763},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6730403900146484},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6491686105728149},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5573747754096985},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5508188009262085},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5273581147193909},{"id":"https://openalex.org/C184880428","wikidata":"https://www.wikidata.org/wiki/Q1417308","display_name":"Finite-difference time-domain method","level":2,"score":0.49669986963272095},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4780069887638092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4684930741786957},{"id":"https://openalex.org/C71914180","wikidata":"https://www.wikidata.org/wiki/Q1071013","display_name":"Conserved quantity","level":2,"score":0.46418920159339905},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4605637192726135},{"id":"https://openalex.org/C22480482","wikidata":"https://www.wikidata.org/wiki/Q7430620","display_name":"Scattering-matrix method","level":3,"score":0.43642711639404297},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4253648817539215},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.21349069476127625},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19363966584205627},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10221132636070251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09312328696250916},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-007-0123-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0123-9","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W104688703","https://openalex.org/W326939810","https://openalex.org/W595019368","https://openalex.org/W1504642953","https://openalex.org/W1544770838","https://openalex.org/W1582734821","https://openalex.org/W1583622322","https://openalex.org/W1635779336","https://openalex.org/W1964413490","https://openalex.org/W1972822338","https://openalex.org/W1986333812","https://openalex.org/W2000215027","https://openalex.org/W2003372231","https://openalex.org/W2007579628","https://openalex.org/W2031166205","https://openalex.org/W2045692066","https://openalex.org/W2049161806","https://openalex.org/W2078861811","https://openalex.org/W2089971018","https://openalex.org/W2095036901","https://openalex.org/W2097757175","https://openalex.org/W2097794974","https://openalex.org/W2098790116","https://openalex.org/W2100719008","https://openalex.org/W2126053421","https://openalex.org/W2143102734","https://openalex.org/W2146947482","https://openalex.org/W2160683941","https://openalex.org/W2160795898","https://openalex.org/W2947056241","https://openalex.org/W3046457476","https://openalex.org/W6661770260"],"related_works":["https://openalex.org/W2136634788","https://openalex.org/W2084867621","https://openalex.org/W2139015677","https://openalex.org/W2117998300","https://openalex.org/W1996112457","https://openalex.org/W2137664060","https://openalex.org/W2379494859","https://openalex.org/W2054387952","https://openalex.org/W2116067906","https://openalex.org/W2800478078"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-30T13:55:48.251075","created_date":"2025-10-10T00:00:00"}