{"id":"https://openalex.org/W1509677313","doi":"https://doi.org/10.1007/3-540-62598-4_119","title":"A variational parameters-to-estimate-free nonlinear solver","display_name":"A variational parameters-to-estimate-free nonlinear solver","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1509677313","doi":"https://doi.org/10.1007/3-540-62598-4_119","mag":"1509677313"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-62598-4_119","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_119","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"Lecture Notes in Computer 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/A5036564258","display_name":"Svetozara I. Petrova","orcid":null},"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/I4210134980","display_name":"Institute for Parallel Processing","ror":"https://ror.org/047hhy227","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210134980"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Svetozara I. Petrova","raw_affiliation_strings":["Central Laboratory of Parallel Processing, Bulgarian Academy of Sciences, \u201dAcad. G. Bontchev\u201c street block 25A, 1113, Sofia, Bulgaria","#TAB#Bulgarian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Central Laboratory of Parallel Processing, Bulgarian Academy of Sciences, \u201dAcad. G. Bontchev\u201c street block 25A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210134980","https://openalex.org/I24768866"]},{"raw_affiliation_string":"#TAB#Bulgarian Academy of Sciences","institution_ids":["https://openalex.org/I24768866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027636165","display_name":"Panayot S. Vassilevski","orcid":"https://orcid.org/0000-0002-5294-7242"},"institutions":[{"id":"https://openalex.org/I4210134980","display_name":"Institute for Parallel Processing","ror":"https://ror.org/047hhy227","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210134980"]},{"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":false,"raw_author_name":"Panayot S. Vassilevski","raw_affiliation_strings":["Central Laboratory of Parallel Processing, Bulgarian Academy of Sciences, \u201dAcad. G. Bontchev\u201c street block 25A, 1113, Sofia, Bulgaria","#TAB#Bulgarian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Central Laboratory of Parallel Processing, Bulgarian Academy of Sciences, \u201dAcad. G. Bontchev\u201c street block 25A, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210134980","https://openalex.org/I24768866"]},{"raw_affiliation_string":"#TAB#Bulgarian Academy of Sciences","institution_ids":["https://openalex.org/I24768866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036564258"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210134980"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17857143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"396","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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":0.9997000098228455,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993000030517578,"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/differentiable-function","display_name":"Differentiable function","score":0.67225581407547},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6249850988388062},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6244096159934998},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6206845045089722},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5819581747055054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5614308714866638},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4771411120891571},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4747866988182068},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4379948675632477},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4187769889831543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30059099197387695},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2994782328605652},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07903879880905151}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.67225581407547},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6249850988388062},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6244096159934998},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6206845045089722},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5819581747055054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5614308714866638},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4771411120891571},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4747866988182068},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4379948675632477},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4187769889831543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30059099197387695},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2994782328605652},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07903879880905151},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-62598-4_119","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62598-4_119","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1674659126","https://openalex.org/W1969800610","https://openalex.org/W1982949943","https://openalex.org/W2011315940","https://openalex.org/W2022296788","https://openalex.org/W2024972953","https://openalex.org/W2029215818","https://openalex.org/W2050361884","https://openalex.org/W2107501462","https://openalex.org/W2160555573","https://openalex.org/W2479243566","https://openalex.org/W2726523637","https://openalex.org/W4230055019","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W4229052146","https://openalex.org/W2358591430","https://openalex.org/W2350788688","https://openalex.org/W2357287617","https://openalex.org/W2103912232","https://openalex.org/W3140142921","https://openalex.org/W4308670056","https://openalex.org/W2084894190","https://openalex.org/W2785860296","https://openalex.org/W1964267519"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
