{"id":"https://openalex.org/W4385343057","doi":"https://doi.org/10.1134/s0361768823020111","title":"Computer Algebra Tools for Geometrization of Maxwell\u2019s Equations","display_name":"Computer Algebra Tools for Geometrization of Maxwell\u2019s Equations","publication_year":2023,"publication_date":"2023-07-28","ids":{"openalex":"https://openalex.org/W4385343057","doi":"https://doi.org/10.1134/s0361768823020111"},"language":"en","primary_location":{"id":"doi:10.1134/s0361768823020111","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1134/s0361768823020111","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5011482984","display_name":"Anna V. Korolkova","orcid":"https://orcid.org/0000-0001-7141-7610"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. V. Korol\u2019kova","raw_affiliation_strings":["Peoples\u2019 Friendship University of Russia (RUDN University), 117198, Moscow, Russia","Peoples' Friendship University of Russia (RUDN University), 117198, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Peoples\u2019 Friendship University of Russia (RUDN University), 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Peoples' Friendship University of Russia (RUDN University), 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003038545","display_name":"Migran N. Gevorkyan","orcid":"https://orcid.org/0000-0002-4834-4895"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. N. Gevorkyan","raw_affiliation_strings":["Peoples\u2019 Friendship University of Russia (RUDN University), 117198, Moscow, Russia","Peoples' Friendship University of Russia (RUDN University), 117198, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Peoples\u2019 Friendship University of Russia (RUDN University), 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Peoples' Friendship University of Russia (RUDN University), 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009706296","display_name":"Dmitry S. Kulyabov","orcid":"https://orcid.org/0000-0002-0877-7063"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]},{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. S. Kulyabov","raw_affiliation_strings":["Joint Institute for Nuclear Research, 141980, Dubna, Moscow oblast, Russia","Peoples\u2019 Friendship University of Russia (RUDN University), 117198, Moscow, Russia","Peoples' Friendship University of Russia (RUDN University), 117198, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, 141980, Dubna, Moscow oblast, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Peoples\u2019 Friendship University of Russia (RUDN University), 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Peoples' Friendship University of Russia (RUDN University), 117198, Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111387001","display_name":"L. A. Sevastyanov","orcid":null},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"L. A. Sevast\u2019yanov","raw_affiliation_strings":["Joint Institute for Nuclear Research, 141980, Dubna, Moscow oblast, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, 141980, Dubna, Moscow oblast, Russia","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011482984"],"corresponding_institution_ids":["https://openalex.org/I126527374"],"apc_list":null,"apc_paid":null,"fwci":1.0401,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74992984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"49","issue":"4","first_page":"366","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10666","display_name":"Photonic Crystals and Applications","score":0.9890000224113464,"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"}},"topics":[{"id":"https://openalex.org/T10666","display_name":"Photonic Crystals and Applications","score":0.9890000224113464,"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"}},{"id":"https://openalex.org/T11408","display_name":"Advanced Optical Imaging Technologies","score":0.9693999886512756,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T10245","display_name":"Metamaterials and Metasurfaces Applications","score":0.9624999761581421,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.8521600961685181},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.7082631587982178},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.661756157875061},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6366417407989502},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4848879277706146},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.45674553513526917},{"id":"https://openalex.org/keywords/theory-of-relativity","display_name":"Theory of relativity","score":0.44384831190109253},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.43335139751434326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3542742431163788},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33681827783584595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2074405550956726},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19566041231155396},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.18858784437179565},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16715532541275024},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1637054681777954},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15610036253929138}],"concepts":[{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.8521600961685181},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.7082631587982178},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.661756157875061},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6366417407989502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4848879277706146},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.45674553513526917},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.44384831190109253},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.43335139751434326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3542742431163788},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33681827783584595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2074405550956726},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19566041231155396},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.18858784437179565},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16715532541275024},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1637054681777954},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15610036253929138},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0361768823020111","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1134/s0361768823020111","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/W20987816","https://openalex.org/W1977356384","https://openalex.org/W1988170711","https://openalex.org/W1995796806","https://openalex.org/W2044843196","https://openalex.org/W2045417293","https://openalex.org/W2048377078","https://openalex.org/W2054351337","https://openalex.org/W2078996139","https://openalex.org/W2280577238","https://openalex.org/W2947239597","https://openalex.org/W2948991815","https://openalex.org/W2964225212","https://openalex.org/W3037571802","https://openalex.org/W3104730819","https://openalex.org/W4224288382"],"related_works":["https://openalex.org/W57206970","https://openalex.org/W3196191855","https://openalex.org/W1950785758","https://openalex.org/W4235091896","https://openalex.org/W2023896637","https://openalex.org/W2185981755","https://openalex.org/W2498253392","https://openalex.org/W2996527951","https://openalex.org/W1539846681","https://openalex.org/W1532035848"],"abstract_inverted_index":{"Calculations":[0],"of":[1,12,15,33,47,52,55,72,86,92,100],"optical":[2],"devices":[3],"in":[4],"the":[5,30,34,40,53,61,70,90,104],"geometrized":[6,105],"Maxwell\u2019s":[7,106],"theory":[8,14,107],"use":[9,71],"well-known":[10],"formalisms":[11],"general":[13,93],"relativity":[16,94],"and":[17],"differential":[18],"geometry.":[19],"In":[20],"particular,":[21],"for":[22,89,103],"such":[23],"calculations":[24],"it":[25],"is":[26,58,108],"required":[27],"to":[28,39,42,59,77],"know":[29],"analytical":[31],"form":[32],"geodesic":[35],"equations,":[36],"which":[37],"leads":[38],"need":[41],"calculate":[43],"a":[44],"large":[45],"number":[46],"monotonous":[48],"mathematical":[49],"expressions.":[50],"One":[51],"purposes":[54],"computer":[56,73],"algebra":[57,74],"facilitate":[60],"researcher\u2019s":[62],"work":[63],"by":[64],"automating":[65],"cumbersome":[66],"symbolic":[67,87,101],"computations.":[68],"Thus,":[69],"systems":[75],"seems":[76],"be":[78],"quite":[79],"an":[80],"obvious":[81],"way.":[82],"Several":[83],"free":[84],"implementations":[85],"computations":[88,102],"apparatus":[91],"are":[95],"considered.":[96],"A":[97],"practical":[98],"example":[99],"given.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
