{"id":"https://openalex.org/W4399704414","doi":"https://doi.org/10.1007/s10915-024-02583-5","title":"Fourth-Order Accurate Compact Scheme for First-Order Maxwell\u2019s Equations","display_name":"Fourth-Order Accurate Compact Scheme for First-Order Maxwell\u2019s Equations","publication_year":2024,"publication_date":"2024-06-15","ids":{"openalex":"https://openalex.org/W4399704414","doi":"https://doi.org/10.1007/s10915-024-02583-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-024-02583-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-024-02583-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02583-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02583-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080920498","display_name":"Idan Versano","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"I. Versano","raw_affiliation_strings":["School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, 6997801, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, 6997801, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011112251","display_name":"Eli Turkel","orcid":"https://orcid.org/0000-0003-4273-0303"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"E. Turkel","raw_affiliation_strings":["School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, 6997801, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, 6997801, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064610183","display_name":"Semyon Tsynkov","orcid":"https://orcid.org/0000-0003-1069-9612"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Tsynkov","raw_affiliation_strings":["North Carolina State University, Box 8205, Raleigh, NC, 27695, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University, Box 8205, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080920498"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.3696,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58015986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"100","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983999729156494,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.996999979019165,"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/mathematics","display_name":"Mathematics","score":0.8423681259155273},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.8268405199050903},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6500887870788574},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6115376353263855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5754186511039734},{"id":"https://openalex.org/keywords/electromagnetic-field-solver","display_name":"Electromagnetic field solver","score":0.5454384684562683},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48221004009246826},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45669323205947876},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4438096880912781},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4403369426727295},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.41274672746658325},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4116249084472656},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3969504237174988},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15604093670845032},{"id":"https://openalex.org/keywords/inhomogeneous-electromagnetic-wave-equation","display_name":"Inhomogeneous electromagnetic wave equation","score":0.1205337643623352},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.09865978360176086},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09596815705299377},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06513702869415283}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8423681259155273},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.8268405199050903},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6500887870788574},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6115376353263855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5754186511039734},{"id":"https://openalex.org/C137009469","wikidata":"https://www.wikidata.org/wiki/Q5358083","display_name":"Electromagnetic field solver","level":5,"score":0.5454384684562683},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48221004009246826},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45669323205947876},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4438096880912781},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4403369426727295},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.41274672746658325},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4116249084472656},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3969504237174988},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15604093670845032},{"id":"https://openalex.org/C76969448","wikidata":"https://www.wikidata.org/wiki/Q6033855","display_name":"Inhomogeneous electromagnetic wave equation","level":4,"score":0.1205337643623352},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.09865978360176086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09596815705299377},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06513702869415283},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C154452299","wikidata":"https://www.wikidata.org/wiki/Q7098853","display_name":"Optical field","level":3,"score":0.0},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-024-02583-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-024-02583-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02583-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10915-024-02583-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-024-02583-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02583-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G8565818281","display_name":null,"funder_award_id":"2020128","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320308960","display_name":"United States - Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"},{"id":"https://openalex.org/F4320322596","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399704414.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W145066576","https://openalex.org/W1546510122","https://openalex.org/W1986774437","https://openalex.org/W2005733061","https://openalex.org/W2021615646","https://openalex.org/W2030729182","https://openalex.org/W2084948735","https://openalex.org/W2142063750","https://openalex.org/W2164639651","https://openalex.org/W2766489693","https://openalex.org/W3104604859","https://openalex.org/W4212946773","https://openalex.org/W4255725207","https://openalex.org/W6629284705"],"related_works":["https://openalex.org/W2153728727","https://openalex.org/W1652551217","https://openalex.org/W2109205712","https://openalex.org/W1500802110","https://openalex.org/W2543727211","https://openalex.org/W2623238608","https://openalex.org/W2143728721","https://openalex.org/W3014373565","https://openalex.org/W3182942759","https://openalex.org/W2039115692"],"abstract_inverted_index":{"Abstract":[0],"We":[1,41],"construct":[2],"a":[3,18,22,52,62,67],"compact":[4,53],"fourth-order":[5],"scheme,":[6],"in":[7],"space":[8],"and":[9,65],"time,":[10],"for":[11,46],"the":[12,32],"time-dependent":[13],"Maxwell\u2019s":[14],"equations":[15,49],"given":[16],"as":[17],"first-order":[19],"system":[20],"on":[21],"staggered":[23],"(Yee)":[24],"grid.":[25],"At":[26],"each":[27],"time":[28],"step,":[29],"we":[30],"update":[31],"fields":[33],"by":[34],"solving":[35],"positive":[36],"definite":[37],"second-order":[38],"elliptic":[39,48],"equations.":[40],"develop":[42],"compatible":[43],"boundary":[44],"conditions":[45],"these":[47],"while":[50],"maintaining":[51],"stencil.":[54],"The":[55],"proposed":[56],"scheme":[57,64],"is":[58],"compared":[59],"computationally":[60],"with":[61,66],"non-compact":[63],"convolutional":[68],"dispersion":[69],"relation":[70],"preserving":[71],"(DRP)":[72],"scheme.":[73]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}