{"id":"https://openalex.org/W1625637805","doi":"https://doi.org/10.1023/a:1016692312901","title":"Improvement of some bounds on the stability of fast Helmholtz solvers","display_name":"Improvement of some bounds on the stability of fast Helmholtz solvers","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1625637805","doi":"https://doi.org/10.1023/a:1016692312901","mag":"1625637805"},"language":"en","primary_location":{"id":"doi:10.1023/a:1016692312901","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1016692312901","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5040736315","display_name":"Plamen Y. Yalamov","orcid":null},"institutions":[{"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":true,"raw_author_name":"Plamen Y. Yalamov","raw_affiliation_strings":["Center of Applied Mathematics and Informatics, University of Rousse, 7017, Rousse, Bulgaria","Center of Applied Mathematics and Informatics, University of Rousse, Rousse, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Applied Mathematics and Informatics, University of Rousse, 7017, Rousse, Bulgaria","institution_ids":["https://openalex.org/I4210105926"]},{"raw_affiliation_string":"Center of Applied Mathematics and Informatics, University of Rousse, Rousse, Bulgaria","institution_ids":["https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040736315"],"corresponding_institution_ids":["https://openalex.org/I4210105926"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.6814,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75020356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"11","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9793999791145325,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9685999751091003,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7808574438095093},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6215799450874329},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5879303812980652},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.42819324135780334},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40710780024528503},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.382209450006485},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2981244921684265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11194729804992676}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7808574438095093},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6215799450874329},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5879303812980652},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.42819324135780334},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40710780024528503},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.382209450006485},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2981244921684265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11194729804992676},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1016692312901","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1016692312901","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1955565642","https://openalex.org/W2020804487","https://openalex.org/W2023413246","https://openalex.org/W2038336192","https://openalex.org/W2045318013","https://openalex.org/W2070025169","https://openalex.org/W2075924804","https://openalex.org/W2095137566","https://openalex.org/W2134572726","https://openalex.org/W2329563144"],"related_works":["https://openalex.org/W4250775169","https://openalex.org/W4309231192","https://openalex.org/W2064563243","https://openalex.org/W3165104833","https://openalex.org/W2012783289","https://openalex.org/W2595158997","https://openalex.org/W2018678701","https://openalex.org/W2753425608","https://openalex.org/W4249573192","https://openalex.org/W2053800633"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-06-24T00:00:00"}