{"id":"https://openalex.org/W1968698318","doi":"https://doi.org/10.1142/s1793962312500298","title":"HIGH-ORDER EXPLICIT TIME-INTEGRATORS FOR DISCONTINUOUS GALERKIN DISCRETIZATIONS OF THE MAXWELL EQUATIONS","display_name":"HIGH-ORDER EXPLICIT TIME-INTEGRATORS FOR DISCONTINUOUS GALERKIN DISCRETIZATIONS OF THE MAXWELL EQUATIONS","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W1968698318","doi":"https://doi.org/10.1142/s1793962312500298","mag":"1968698318"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962312500298","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962312500298","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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/A5050335627","display_name":"Hassan Fahs","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"H. FAHS","raw_affiliation_strings":["LAMA Laboratory, University Paris-Est Marne-la-Vall\u00e9e, UMR CNRS 8050, 5 boulevard Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2, France"],"affiliations":[{"raw_affiliation_string":"LAMA Laboratory, University Paris-Est Marne-la-Vall\u00e9e, UMR CNRS 8050, 5 boulevard Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I4210154111","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012822290","display_name":"Mohamad Safa","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. SAFA","raw_affiliation_strings":["INRIA Paris-Rocquencourt, Domaine de Voluceau, BP. 105, 78153 Le Chesnay Cedex, France"],"affiliations":[{"raw_affiliation_string":"INRIA Paris-Rocquencourt, Domaine de Voluceau, BP. 105, 78153 Le Chesnay Cedex, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050335627"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210144844","https://openalex.org/I4210154111"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04922772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"04","issue":"01","first_page":"1250029","last_page":"1250029"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9997000098228455,"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":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994000196456909,"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":0.9965999722480774,"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":0.7188124656677246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6473650932312012},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.6165803074836731},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5992680191993713},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5851243138313293},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.492074191570282},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4873410165309906},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.47331440448760986},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4519228935241699},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4188900589942932},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.41486620903015137},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3296983242034912},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25878140330314636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2460150420665741},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.17039471864700317}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7188124656677246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6473650932312012},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.6165803074836731},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5992680191993713},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5851243138313293},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.492074191570282},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4873410165309906},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.47331440448760986},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4519228935241699},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4188900589942932},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.41486620903015137},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3296983242034912},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25878140330314636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2460150420665741},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17039471864700317},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793962312500298","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962312500298","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00769658v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00769658","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing, 2012, 4 (1), pp.Article ID : 1250029. ⟨10.1142/S1793962312500298⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1483804921","https://openalex.org/W1524573041","https://openalex.org/W1970970529","https://openalex.org/W1977131073","https://openalex.org/W1979571517","https://openalex.org/W1984195160","https://openalex.org/W1986661248","https://openalex.org/W2001458673","https://openalex.org/W2001475947","https://openalex.org/W2005315955","https://openalex.org/W2013763494","https://openalex.org/W2017488448","https://openalex.org/W2022370700","https://openalex.org/W2027162983","https://openalex.org/W2032215317","https://openalex.org/W2040654323","https://openalex.org/W2046997923","https://openalex.org/W2064196814","https://openalex.org/W2096616699","https://openalex.org/W2097520505","https://openalex.org/W2106524561","https://openalex.org/W2110769443","https://openalex.org/W2120327902","https://openalex.org/W2149749435","https://openalex.org/W2169030264","https://openalex.org/W2313278888","https://openalex.org/W2337916717","https://openalex.org/W2623407390","https://openalex.org/W3124814038","https://openalex.org/W4214751139","https://openalex.org/W4251197584"],"related_works":["https://openalex.org/W1528754490","https://openalex.org/W2693720348","https://openalex.org/W69679081","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2331594262","https://openalex.org/W2887215440","https://openalex.org/W2898844870","https://openalex.org/W2042998516","https://openalex.org/W2087592144"],"abstract_inverted_index":{"We":[0,83,102,125],"investigate":[1],"the":[2,24,42,55,61,73,92,104,118,123],"practical":[3],"implementation":[4,106],"of":[5,38,41,72,88,94,107,122],"a":[6,28,35,52,85],"high-order":[7,29],"explicit":[8,137],"time-stepping":[9],"method":[10],"based":[11,90,111],"on":[12,80,91,112],"polynomial":[13,100],"approximations,":[14],"for":[15,139],"possible":[16],"application":[17],"to":[18,135],"large-scale":[19],"problems":[20],"in":[21,70],"electromagnetics.":[22],"After":[23],"spatial":[25,56],"discretization":[26],"by":[27,98],"discontinuous":[30],"Galerkin":[31],"method,":[32],"we":[33,116],"obtain":[34],"linear":[36],"system":[37],"differential":[39],"equations":[40],"form,":[43],"[Formula:":[44,48,76,95],"see":[45,49,77,96],"text],":[46,78],"where":[47],"text]":[50,97],"is":[51,60],"matrix":[53,74],"containing":[54],"derivatives":[57],"and":[58,110,120],"t":[59],"time":[62,144],"variable.":[63],"The":[64],"formal":[65],"solution":[66],"can":[67],"be":[68],"written":[69],"terms":[71],"exponential,":[75],"acting":[79],"some":[81,113],"vectors.":[82],"introduce":[84],"general":[86],"family":[87],"time-integrators":[89],"approximation":[93],"Jacobi":[99],"expansions.":[101],"discuss":[103],"efficient":[105,133],"this":[108],"technique,":[109],"test":[114],"problems,":[115],"compare":[117],"virtues":[119],"shortcomings":[121],"algorithm.":[124],"also":[126],"demonstrate":[127],"how":[128],"these":[129],"schemes":[130],"provide":[131],"an":[132],"alternative":[134],"standard":[136],"integrators":[138],"computing":[140],"solutions":[141],"over":[142],"long":[143],"intervals.":[145]},"counts_by_year":[],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}