{"id":"https://openalex.org/W2899178779","doi":"https://doi.org/10.17213/0136-3360-2018-5-5-12","title":"\u0427\u0438\u0441\u043b\u0435\u043d\u043d\u043e-\u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043c\u0435\u0442\u043e\u0434 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u043d\u044b\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u0432 \u044d\u043b\u0435\u043a\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0446\u0435\u043f\u044f\u0445 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u043e\u0439 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0442\u044b \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0430\u043f\u043f\u0440\u043e\u043a\u0441\u0438\u043c\u0430\u0446\u0438\u0438 \u041f\u0430\u0434\u0435. \u0427\u0430\u0441\u0442\u044c 3. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0442\u0435\u0441\u0442\u043e\u0432\u044b\u0445 \u0437\u0430\u0434\u0430\u0447, \u043e\u0446\u0435\u043d\u043a\u0430 \u043c\u0435\u0442\u043e\u0434\u0430","display_name":"\u0427\u0438\u0441\u043b\u0435\u043d\u043d\u043e-\u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043c\u0435\u0442\u043e\u0434 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u043d\u044b\u0445 \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u043e\u0432 \u0432 \u044d\u043b\u0435\u043a\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0446\u0435\u043f\u044f\u0445 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u043e\u0439 \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0442\u044b \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0430\u043f\u043f\u0440\u043e\u043a\u0441\u0438\u043c\u0430\u0446\u0438\u0438 \u041f\u0430\u0434\u0435. \u0427\u0430\u0441\u0442\u044c 3. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0442\u0435\u0441\u0442\u043e\u0432\u044b\u0445 \u0437\u0430\u0434\u0430\u0447, \u043e\u0446\u0435\u043d\u043a\u0430 \u043c\u0435\u0442\u043e\u0434\u0430","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2899178779","doi":"https://doi.org/10.17213/0136-3360-2018-5-5-12","mag":"2899178779"},"language":"ru","primary_location":{"id":"doi:10.17213/0136-3360-2018-5-5-12","doi":"https://doi.org/10.17213/0136-3360-2018-5-5-12","is_oa":false,"landing_page_url":"https://doi.org/10.17213/0136-3360-2018-5-5-12","pdf_url":null,"source":{"id":"https://openalex.org/S4210203547","display_name":"\u0418\u0437\u0432\u0435\u0441\u0442\u0438\u044f \u0432\u044b\u0441\u0448\u0438\u0445 \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0437\u0430\u0432\u0435\u0434\u0435\u043d\u0438\u0439 \u042d\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0430","issn_l":"0136-3360","issn":["0136-3360"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u0418\u0437\u0432\u0435\u0441\u0442\u0438\u044f \u0432\u044b\u0441\u0448\u0438\u0445 \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0437\u0430\u0432\u0435\u0434\u0435\u043d\u0438\u0439. \u042d\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0430","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2899178779"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5075434952","display_name":"Yurij Burtsev","orcid":"https://orcid.org/0000-0001-6663-3239","observed_orcids":["https://orcid.org/0000-0001-6663-3239"]},"institutions":[{"id":"https://openalex.org/I4210100633","display_name":"Platov South-Russian State Polytechnic University","ror":"https://ror.org/00vqyrr20","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210100633"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Yurij Burtsev","raw_affiliation_strings":["\u042e\u0436\u043d\u043e-\u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u0438\u0439 \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u0442\u0435\u0445\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 (\u041d\u041f\u0418) \u0438\u043c\u0435\u043d\u0438 \u041c.\u0418. \u041f\u043b\u0430\u0442\u043e\u0432\u0430"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u042e\u0436\u043d\u043e-\u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u0438\u0439 \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439 \u043f\u043e\u043b\u0438\u0442\u0435\u0445\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 (\u041d\u041f\u0418) \u0438\u043c\u0435\u043d\u0438 \u041c.\u0418. \u041f\u043b\u0430\u0442\u043e\u0432\u0430","institution_ids":["https://openalex.org/I4210100633"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075434952"],"corresponding_institution_ids":["https://openalex.org/I4210100633"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"61","issue":"5","first_page":"5","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.9907000064849854,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.9907000064849854,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.003100000089034438,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/matrix-exponential","display_name":"matrix exponential","score":0.9330000281333923},{"id":"https://openalex.org/keywords/pade-approximants","display_name":"Pad\u00e9 approximants","score":0.8769999742507935},{"id":"https://openalex.org/keywords/numerical-analytical-method","display_name":"numerical-analytical method","score":0.8230000138282776},{"id":"https://openalex.org/keywords/stiff-differential-equations","display_name":"stiff ordinary differential equations","score":0.625},{"id":"https://openalex.org/keywords/a-stability","display_name":"A-stability","score":0.8130000233650208},{"id":"https://openalex.org/keywords/l-stability","display_name":"L-stability","score":0.972000002861023},{"id":"https://openalex.org/keywords/node-voltage-method","display_name":"node voltage method","score":0.6309999823570251},{"id":"https://openalex.org/keywords/time-step","display_name":"time step size","score":0.33000001311302185}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7252976298332214},{"id":"https://openalex.org/C153150388","wikidata":"https://www.wikidata.org/wiki/Q2452504","display_name":"Pad\u00e9 approximant","level":2,"score":0.7251772880554199},{"id":"https://openalex.org/C196796808","wikidata":"https://www.wikidata.org/wiki/Q132629","display_name":"Electrical network","level":2,"score":0.6256375908851624},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5538467764854431},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5121471881866455},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4924977719783783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4714321196079254},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4707121253013611},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4529203772544861},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.4339641332626343},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41878581047058105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34758320450782776},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33812814950942993},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1579628884792328},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.12689390778541565},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.17213/0136-3360-2018-5-5-12","doi":"https://doi.org/10.17213/0136-3360-2018-5-5-12","is_oa":false,"landing_page_url":"https://doi.org/10.17213/0136-3360-2018-5-5-12","pdf_url":null,"source":{"id":"https://openalex.org/S4210203547","display_name":"\u0418\u0437\u0432\u0435\u0441\u0442\u0438\u044f \u0432\u044b\u0441\u0448\u0438\u0445 \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0437\u0430\u0432\u0435\u0434\u0435\u043d\u0438\u0439 \u042d\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0430","issn_l":"0136-3360","issn":["0136-3360"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["russia-white-list-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"\u0418\u0437\u0432\u0435\u0441\u0442\u0438\u044f \u0432\u044b\u0441\u0448\u0438\u0445 \u0443\u0447\u0435\u0431\u043d\u044b\u0445 \u0437\u0430\u0432\u0435\u0434\u0435\u043d\u0438\u0439. \u042d\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0438\u043a\u0430","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2848464770","https://openalex.org/W2986060642","https://openalex.org/W2827464753","https://openalex.org/W4403464660","https://openalex.org/W3034964957","https://openalex.org/W7117256260","https://openalex.org/W2618124681","https://openalex.org/W3018169730"],"abstract_inverted_index":{"Test":[0],"problems":[1],"are":[2,21,30,84,105],"solved":[3],"for":[4,12,93,132],"evaluation":[5],"of":[6,8,35,40,72,118,126],"accuracy":[7],"new":[9],"numerical-analytical":[10],"methods":[11,20,104],"simulation":[13],"transient":[14],"processes":[15],"in":[16,25,38,78,85],"electrical":[17,73,94],"circuits.":[18],"The":[19,103],"proposed":[22],"and":[23,96,114],"described":[24],"two":[26],"previous":[27],"papers.":[28],"Methods":[29],"based":[31],"on":[32],"Pade":[33],"approximation":[34],"matrix":[36],"exponent":[37],"form":[39],"decomposition":[41],"to":[42,46,111],"simplest":[43],"fractions.":[44],"Compared":[45],"trapezoidal":[47],"procedure,":[48],"they":[49,83],"require":[50,99],"more":[51],"computational":[52],"work,":[53],"but":[54],"inaccuracy":[55,64],"decreases":[56],"by":[57],"several":[58],"orders,":[59],"or":[60],"with":[61],"the":[62,79,86,119],"same":[63,80],"time":[65,127],"step":[66],"can":[67,75],"be":[68,76],"increased":[69],"significantly.":[70],"Equations":[71],"circuits":[74],"written":[77],"form,":[81],"as":[82],"Node":[87],"Voltage":[88],"Method,":[89],"it":[90],"is":[91,108,121,129],"convenient":[92],"engineers":[95],"does":[97],"not":[98,130],"special":[100],"mathematical":[101],"knowledge.":[102],"A-sustainable":[106],"(there":[107],"no":[109],"limitation":[110],"integration":[112],"step)":[113],"L-sustainable":[115],"(stiff":[116],"part":[117],"solution":[120],"damped":[122],"well":[123],"when":[124],"number":[125],"steps":[128],"sufficient":[131],"its":[133],"adequate":[134],"computation)":[135]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2018-11-09T00:00:00"}