{"id":"https://openalex.org/W2907456200","doi":"https://doi.org/10.1007/978-3-030-05807-4_2","title":"An Efficient Parallel Algorithm for Numerical Solution of Low Dimension Dynamics Problems","display_name":"An Efficient Parallel Algorithm for Numerical Solution of Low Dimension Dynamics Problems","publication_year":2018,"publication_date":"2018-12-31","ids":{"openalex":"https://openalex.org/W2907456200","doi":"https://doi.org/10.1007/978-3-030-05807-4_2","mag":"2907456200"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-05807-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-05807-4_2","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5048985870","display_name":"Stepan Orlov","orcid":"https://orcid.org/0000-0002-1822-3937"},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Stepan Orlov","raw_affiliation_strings":["Computer Technologies in Engineering Department, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russian Federation"],"affiliations":[{"raw_affiliation_string":"Computer Technologies in Engineering Department, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russian Federation","institution_ids":["https://openalex.org/I212220629"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077783847","display_name":"Alexey Kuzin","orcid":"https://orcid.org/0000-0002-3715-5829"},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexey Kuzin","raw_affiliation_strings":["Computer Technologies in Engineering Department, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russian Federation"],"affiliations":[{"raw_affiliation_string":"Computer Technologies in Engineering Department, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russian Federation","institution_ids":["https://openalex.org/I212220629"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069883342","display_name":"Nikolay Shabrov","orcid":"https://orcid.org/0000-0001-7721-1824"},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nikolay Shabrov","raw_affiliation_strings":["Computer Technologies in Engineering Department, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russian Federation"],"affiliations":[{"raw_affiliation_string":"Computer Technologies in Engineering Department, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russian Federation","institution_ids":["https://openalex.org/I212220629"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048985870"],"corresponding_institution_ids":["https://openalex.org/I212220629"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18895706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"15","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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 methods for differential equations","score":0.9987999796867371,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.9056704044342041},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7307860255241394},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6894148588180542},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6692151427268982},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6244928240776062},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47227180004119873},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4491743743419647},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4405917227268219},{"id":"https://openalex.org/keywords/stiff-equation","display_name":"Stiff equation","score":0.42284440994262695},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4064056873321533},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3718222379684448},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3615153133869171},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3244818150997162},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2876507639884949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26330143213272095},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08060377836227417},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06690236926078796}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.9056704044342041},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7307860255241394},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6894148588180542},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6692151427268982},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6244928240776062},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47227180004119873},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4491743743419647},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4405917227268219},{"id":"https://openalex.org/C43012357","wikidata":"https://www.wikidata.org/wiki/Q29744","display_name":"Stiff equation","level":3,"score":0.42284440994262695},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4064056873321533},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3718222379684448},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3615153133869171},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3244818150997162},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2876507639884949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26330143213272095},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08060377836227417},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06690236926078796},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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:10.1007/978-3-030-05807-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-05807-4_2","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computer and Information Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1509923322","https://openalex.org/W1569732975","https://openalex.org/W1586787860","https://openalex.org/W1979205434","https://openalex.org/W1995504856","https://openalex.org/W2000137406","https://openalex.org/W2003713229","https://openalex.org/W2006921957","https://openalex.org/W2010210658","https://openalex.org/W2019035264","https://openalex.org/W2042388195","https://openalex.org/W2080028253","https://openalex.org/W2087799733","https://openalex.org/W2098168282","https://openalex.org/W2111923226","https://openalex.org/W2769265848","https://openalex.org/W4255754126"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2996841952","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4386937951"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}