{"id":"https://openalex.org/W2092537470","doi":"https://doi.org/10.1007/s006070070014","title":"Spectral Galerkin Discretization for Hydrodynamic Stability Problems","display_name":"Spectral Galerkin Discretization for Hydrodynamic Stability Problems","publication_year":2000,"publication_date":"2000-11-24","ids":{"openalex":"https://openalex.org/W2092537470","doi":"https://doi.org/10.1007/s006070070014","mag":"2092537470"},"language":"en","primary_location":{"id":"doi:10.1007/s006070070014","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070070014","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5058356670","display_name":"Jens Markus Melenk","orcid":"https://orcid.org/0000-0001-9024-6028"},"institutions":[{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"J. M. Melenk","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften Inselstr. 22-26 D-04103 Leipzig Germany e-mail: melenk@mis.mpg.de, , , , , , DE","Leipzig#TAB#"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften Inselstr. 22-26 D-04103 Leipzig Germany e-mail: melenk@mis.mpg.de, , , , , , DE","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Leipzig#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060415704","display_name":"Nina Kirchner","orcid":"https://orcid.org/0000-0002-6371-5527"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"N. P. Kirchner","raw_affiliation_strings":["Institut f\u00fcr Mechanik TU Darmstadt D-64289 Darmstadt Germany e-mail: kirchner@mechanik.tu-darmstadt.de, , , , , , DE","Darmstadt#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mechanik TU Darmstadt D-64289 Darmstadt Germany e-mail: kirchner@mechanik.tu-darmstadt.de, , , , , , DE","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Darmstadt#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039330337","display_name":"C. Schwab","orcid":"https://orcid.org/0000-0003-3330-7669"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"C. Schwab","raw_affiliation_strings":["Seminar f\u00fcr Angewandte Mathematik ETH Z\u00fcrich CH-8092 Z\u00fcrich Switzerland e-mail: schwab@sam.math.ethz.ch, , , , , , CH","Seminar f\u00fcr Angewandte Mathematik ETH Z\u00fcrich CH-8092 Z\u00fcrich Switzerland e-mail: schwab@sam.math.ethz.ch, CH"],"affiliations":[{"raw_affiliation_string":"Seminar f\u00fcr Angewandte Mathematik ETH Z\u00fcrich CH-8092 Z\u00fcrich Switzerland e-mail: schwab@sam.math.ethz.ch, , , , , , CH","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Seminar f\u00fcr Angewandte Mathematik ETH Z\u00fcrich CH-8092 Z\u00fcrich Switzerland e-mail: schwab@sam.math.ethz.ch, CH","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058356670"],"corresponding_institution_ids":["https://openalex.org/I4210091327"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.1055,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.78470696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"65","issue":"2","first_page":"97","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9943000078201294,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/discretization","display_name":"Discretization","score":0.8696697950363159},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7830287218093872},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7596780061721802},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6465473771095276},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.615913450717926},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5406948328018188},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49365338683128357},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49180200695991516},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.4831933081150055},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.48039963841438293},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.4526628255844116},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4496038556098938},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.44925200939178467},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.4267699420452118},{"id":"https://openalex.org/keywords/hydrodynamic-stability","display_name":"Hydrodynamic stability","score":0.4111438989639282},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3024689555168152},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15150004625320435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08620837330818176}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8696697950363159},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7830287218093872},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7596780061721802},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6465473771095276},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.615913450717926},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5406948328018188},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49365338683128357},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49180200695991516},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.4831933081150055},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.48039963841438293},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.4526628255844116},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4496038556098938},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.44925200939178467},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.4267699420452118},{"id":"https://openalex.org/C112766332","wikidata":"https://www.wikidata.org/wiki/Q4138087","display_name":"Hydrodynamic stability","level":4,"score":0.4111438989639282},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3024689555168152},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15150004625320435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08620837330818176},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s006070070014","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070070014","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:11979","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/11979/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Artikel"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2055696851","https://openalex.org/W4293683879","https://openalex.org/W2253637996","https://openalex.org/W2020570337","https://openalex.org/W1970590191","https://openalex.org/W2978094276","https://openalex.org/W2056658486","https://openalex.org/W2096756136","https://openalex.org/W2155091418","https://openalex.org/W2348286450"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
