{"id":"https://openalex.org/W4200482061","doi":"https://doi.org/10.1007/978-3-030-82397-9_25","title":"Expansions on Quadrature Formulas and Numerical Solutions of Ordinary Differential Equations","display_name":"Expansions on Quadrature Formulas and Numerical Solutions of Ordinary Differential Equations","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4200482061","doi":"https://doi.org/10.1007/978-3-030-82397-9_25"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-82397-9_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-82397-9_25","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","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/A5078762918","display_name":"Venelin Todorov","orcid":"https://orcid.org/0000-0001-7134-5901"},"institutions":[{"id":"https://openalex.org/I4210163063","display_name":"Institute of Information and Communication Technologies","ror":"https://ror.org/05fpsjc82","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Venelin Todorov","raw_affiliation_strings":["Institute of Information and Communication Technologies, Department of Parallel Algorithms, Bulgarian Academy of Sciences, Acad. G. Bonchev Str, Block 25 A, 1113, Sofia, Bulgaria","Institute of Mathematics and Informatics, Department of Information Modeling, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str, Block 8, 1113, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Communication Technologies, Department of Parallel Algorithms, Bulgarian Academy of Sciences, Acad. G. Bonchev Str, Block 25 A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210163063","https://openalex.org/I24768866"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Department of Information Modeling, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str, Block 8, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003423551","display_name":"Yuri Dimitrov","orcid":"https://orcid.org/0000-0001-6707-9583"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"id":"https://openalex.org/I170627324","display_name":"University of Forestry","ror":"https://ror.org/033t8gt11","country_code":"BG","type":"education","lineage":["https://openalex.org/I170627324"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Yuri Dimitrov","raw_affiliation_strings":["Department of Mathematics and Physics, University of Forestry, Sofia, Bulgaria","Institute of Mathematics and Informatics, Department of Information Modeling, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str, Block 8, 1113, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, University of Forestry, Sofia, Bulgaria","institution_ids":["https://openalex.org/I170627324"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Department of Information Modeling, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str, Block 8, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027631339","display_name":"Radan Miryanov","orcid":"https://orcid.org/0009-0005-1368-9358"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Radan Miryanov","raw_affiliation_strings":["University of Varna, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"University of Varna, Sofia, Bulgaria","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052736928","display_name":"Ivan Dimov","orcid":"https://orcid.org/0000-0003-4198-5830"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210163063","display_name":"Institute of Information and Communication Technologies","ror":"https://ror.org/05fpsjc82","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Ivan Dimov","raw_affiliation_strings":["Institute of Information and Communication Technologies, Department of Parallel Algorithms, Bulgarian Academy of Sciences, Acad. G. Bonchev Str, Block 25 A, 1113, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute of Information and Communication Technologies, Department of Parallel Algorithms, Bulgarian Academy of Sciences, Acad. G. Bonchev Str, Block 25 A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210163063","https://openalex.org/I24768866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003822660","display_name":"Stoyan Poryazov","orcid":"https://orcid.org/0000-0002-1564-1551"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Stoyan Poryazov","raw_affiliation_strings":["Institute of Mathematics and Informatics, Department of Information Modeling, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str, Block 8, 1113, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Department of Information Modeling, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str, Block 8, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5078762918"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926","https://openalex.org/I4210163063"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3729128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"463","last_page":"475"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.7497401237487793},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.7226545214653015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7045055031776428},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6452524662017822},{"id":"https://openalex.org/keywords/gauss\u2013jacobi-quadrature","display_name":"Gauss\u2013Jacobi quadrature","score":0.585911214351654},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.574573814868927},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5283951163291931},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4799342751502991},{"id":"https://openalex.org/keywords/clenshaw\u2013curtis-quadrature","display_name":"Clenshaw\u2013Curtis quadrature","score":0.44825974106788635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4407097399234772},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.4397057592868805},{"id":"https://openalex.org/keywords/gauss\u2013kronrod-quadrature-formula","display_name":"Gauss\u2013Kronrod quadrature formula","score":0.4209824204444885},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41133302450180054},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.3877412676811218},{"id":"https://openalex.org/keywords/gaussian-quadrature","display_name":"Gaussian quadrature","score":0.31417012214660645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18038004636764526},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08429262042045593},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.034562259912490845}],"concepts":[{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7497401237487793},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.7226545214653015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7045055031776428},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6452524662017822},{"id":"https://openalex.org/C54691486","wikidata":"https://www.wikidata.org/wiki/Q5527851","display_name":"Gauss\u2013Jacobi quadrature","level":5,"score":0.585911214351654},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.574573814868927},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5283951163291931},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4799342751502991},{"id":"https://openalex.org/C172657837","wikidata":"https://www.wikidata.org/wiki/Q5131618","display_name":"Clenshaw\u2013Curtis quadrature","level":5,"score":0.44825974106788635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4407097399234772},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.4397057592868805},{"id":"https://openalex.org/C14103991","wikidata":"https://www.wikidata.org/wiki/Q5527852","display_name":"Gauss\u2013Kronrod quadrature formula","level":4,"score":0.4209824204444885},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41133302450180054},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3877412676811218},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.31417012214660645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18038004636764526},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08429262042045593},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.034562259912490845},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-82397-9_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-82397-9_25","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","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":20,"referenced_works":["https://openalex.org/W647800561","https://openalex.org/W1436001274","https://openalex.org/W1819331517","https://openalex.org/W1991982189","https://openalex.org/W1998458331","https://openalex.org/W2001011967","https://openalex.org/W2049030310","https://openalex.org/W2062266804","https://openalex.org/W2069874880","https://openalex.org/W2082624758","https://openalex.org/W2138075164","https://openalex.org/W2531522945","https://openalex.org/W2963243266","https://openalex.org/W2964132250","https://openalex.org/W3022398353","https://openalex.org/W3048217222","https://openalex.org/W3105813679","https://openalex.org/W3106522901","https://openalex.org/W3107779404","https://openalex.org/W4255359994"],"related_works":["https://openalex.org/W4387847482","https://openalex.org/W4390128132","https://openalex.org/W2148120208","https://openalex.org/W2049479394","https://openalex.org/W3115048450","https://openalex.org/W4225701809","https://openalex.org/W1490898760","https://openalex.org/W2125520544","https://openalex.org/W2012315814","https://openalex.org/W4205354206"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}