{"id":"https://openalex.org/W1986181443","doi":"https://doi.org/10.1137/100816122","title":"Composition Methods, Maxwell's Equations, and Source Terms","display_name":"Composition Methods, Maxwell's Equations, and Source Terms","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1986181443","doi":"https://doi.org/10.1137/100816122","mag":"1986181443"},"language":"en","primary_location":{"id":"doi:10.1137/100816122","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100816122","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5081028896","display_name":"J.G. Verwer","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"J. G. Verwer","raw_affiliation_strings":["Centrum Wiskunde & Informatica#TAB#"],"affiliations":[{"raw_affiliation_string":"Centrum Wiskunde & Informatica#TAB#","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081028896"],"corresponding_institution_ids":["https://openalex.org/I1341640284"],"apc_list":null,"apc_paid":null,"fwci":1.473,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82999771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"50","issue":"2","first_page":"439","last_page":"457"},"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":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7218029499053955},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6546955108642578},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5513975024223328},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5210837125778198},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5095744132995605},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5094099640846252},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49752047657966614},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.4949175715446472},{"id":"https://openalex.org/keywords/source-function","display_name":"Source function","score":0.47550660371780396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4617564380168915},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.416079580783844},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17865902185440063},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12494552135467529}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7218029499053955},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6546955108642578},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5513975024223328},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5210837125778198},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5095744132995605},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5094099640846252},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49752047657966614},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4949175715446472},{"id":"https://openalex.org/C2780187573","wikidata":"https://www.wikidata.org/wiki/Q3754592","display_name":"Source function","level":2,"score":0.47550660371780396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4617564380168915},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.416079580783844},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17865902185440063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12494552135467529},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100816122","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100816122","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1902819800","https://openalex.org/W2013029478","https://openalex.org/W2024089310","https://openalex.org/W2058763860","https://openalex.org/W2067896228","https://openalex.org/W2071874678","https://openalex.org/W2074559574","https://openalex.org/W2087784097","https://openalex.org/W2117493508","https://openalex.org/W2122485777","https://openalex.org/W2142063750","https://openalex.org/W2163257413","https://openalex.org/W2252343556","https://openalex.org/W2323178299","https://openalex.org/W2582972221","https://openalex.org/W2947056241"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W1507702947"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,46,88,109,113,123,134],"devoted":[3],"to":[4,40,136],"high-order":[5,28,50],"numerical":[6],"time":[7],"integration":[8],"of":[9,18,27,33,105],"first-order":[10],"wave":[11],"equation":[12],"systems":[13],"originating":[14],"from":[15,78],"spatial":[16],"discretization":[17],"Maxwell's":[19],"equations.":[20],"The":[21],"focus":[22],"lies":[23],"on":[24,56],"the":[25,31,91,98,111,132],"accuracy":[26],"composition":[29],"in":[30],"presence":[32],"source":[34,75,107],"functions.":[35],"Source":[36],"functions":[37,76],"are":[38,64,82],"known":[39],"generate":[41],"order":[42,133],"reduction,":[43],"and":[44,74,128],"this":[45],"most":[47],"severe":[48],"for":[49,125,129],"methods.":[51],"For":[52],"two":[53,57,95],"methods":[54],"based":[55],"well-known":[58],"fourth-order":[59],"symmetric":[60],"compositions,":[61],"convergence":[62],"results":[63],"given":[65],"assuming":[66],"simultaneous":[67,142],"space-time":[68,143],"grid":[69,144],"refinement.":[70,145],"Herewith":[71],"physical":[72,126],"sources":[73,127,131],"emanating":[77],"Dirichlet":[79,130],"boundary":[80],"conditions":[81],"distinguished.":[83],"Among":[84],"other":[85,99],"things":[86],"it":[87],"shown":[89],"that":[90,120],"reduction":[92,112,122],"can":[93],"cost":[94],"orders.":[96],"On":[97],"hand,":[100],"when":[101],"a":[102,106],"certain":[103],"perturbation":[104],"function":[108],"used,":[110],"generally":[114],"diminished":[115],"by":[116],"one":[117],"order.":[118],"In":[119],"case,":[121],"absent":[124],"equal":[135],"at":[137],"least":[138],"three":[139],"under":[140],"stable":[141]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}