{"id":"https://openalex.org/W1599063302","doi":"https://doi.org/10.1007/s00211-016-0825-y","title":"Covariance regularity and $$\\mathcal {H}$$ H -matrix approximation for rough random fields","display_name":"Covariance regularity and $$\\mathcal {H}$$ H -matrix approximation for rough random fields","publication_year":2016,"publication_date":"2016-08-20","ids":{"openalex":"https://openalex.org/W1599063302","doi":"https://doi.org/10.1007/s00211-016-0825-y","mag":"1599063302"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-016-0825-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0825-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012055655","display_name":"J\u00fcrgen D\u00f6lz","orcid":"https://orcid.org/0000-0003-3322-1187"},"institutions":[{"id":"https://openalex.org/I1850255","display_name":"University of Basel","ror":"https://ror.org/02s6k3f65","country_code":"CH","type":"education","lineage":["https://openalex.org/I1850255"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"J. D\u00f6lz","raw_affiliation_strings":["Departement Mathematik und Informatik, Universit\u00e4t Basel, Spiegelgasse 1, 4051, Basel, Switzerland","Departement Mathematik und Informatik, Universit\u00e4t Basel, Basel, Switzerland 4051#TAB#"],"affiliations":[{"raw_affiliation_string":"Departement Mathematik und Informatik, Universit\u00e4t Basel, Spiegelgasse 1, 4051, Basel, Switzerland","institution_ids":["https://openalex.org/I1850255"]},{"raw_affiliation_string":"Departement Mathematik und Informatik, Universit\u00e4t Basel, Basel, Switzerland 4051#TAB#","institution_ids":["https://openalex.org/I1850255"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005562022","display_name":"Helmut Harbrecht","orcid":"https://orcid.org/0000-0003-0093-5706"},"institutions":[{"id":"https://openalex.org/I1850255","display_name":"University of Basel","ror":"https://ror.org/02s6k3f65","country_code":"CH","type":"education","lineage":["https://openalex.org/I1850255"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"H. Harbrecht","raw_affiliation_strings":["Departement Mathematik und Informatik, Universit\u00e4t Basel, Spiegelgasse 1, 4051, Basel, Switzerland","Departement Mathematik und Informatik, Universit\u00e4t Basel, Basel, Switzerland 4051#TAB#"],"affiliations":[{"raw_affiliation_string":"Departement Mathematik und Informatik, Universit\u00e4t Basel, Spiegelgasse 1, 4051, Basel, Switzerland","institution_ids":["https://openalex.org/I1850255"]},{"raw_affiliation_string":"Departement Mathematik und Informatik, Universit\u00e4t Basel, Basel, Switzerland 4051#TAB#","institution_ids":["https://openalex.org/I1850255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110826197","display_name":"Ch. Schwab","orcid":null},"institutions":[{"id":"https://openalex.org/I4210111868","display_name":"Zurich University of Teacher Education","ror":"https://ror.org/01awgk221","country_code":"CH","type":"education","lineage":["https://openalex.org/I4210111868"]},{"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":"Ch. Schwab","raw_affiliation_strings":["Seminar for Applied Mathematics, R\u00e4mistrasse 101, ETH Z\u00fcrich, 8092, Zurich, Switzerland","Seminar for Applied Mathematics, Zurich, Switzerland 8092#TAB#"],"affiliations":[{"raw_affiliation_string":"Seminar for Applied Mathematics, R\u00e4mistrasse 101, ETH Z\u00fcrich, 8092, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Seminar for Applied Mathematics, Zurich, Switzerland 8092#TAB#","institution_ids":["https://openalex.org/I4210111868"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012055655"],"corresponding_institution_ids":["https://openalex.org/I1850255"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.6489,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.9106142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"135","issue":"4","first_page":"1045","last_page":"1071"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11609","display_name":"Geophysical Methods and Applications","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9944999814033508,"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/mathematics","display_name":"Mathematics","score":0.679126501083374},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.6411944031715393},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6259288191795349},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6039772033691406},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.5839663147926331},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4943099021911621},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4628559648990631},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4223361909389496},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.4116029739379883},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3102683126926422}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.679126501083374},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.6411944031715393},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6259288191795349},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6039772033691406},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.5839663147926331},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4943099021911621},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4628559648990631},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4223361909389496},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.4116029739379883},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3102683126926422},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-016-0825-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0825-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:edoc.unibas.ch:54606","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401836","display_name":"edoc (University of Basel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1850255","host_organization_name":"University of Basel","host_organization_lineage":["https://openalex.org/I1850255"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:edoc.unibas.ch:54606","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401836","display_name":"edoc (University of Basel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1850255","host_organization_name":"University of Basel","host_organization_lineage":["https://openalex.org/I1850255"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W104914395","https://openalex.org/W434969687","https://openalex.org/W1532154335","https://openalex.org/W1544159280","https://openalex.org/W1569304948","https://openalex.org/W1586623601","https://openalex.org/W1602760118","https://openalex.org/W1851937217","https://openalex.org/W1966287322","https://openalex.org/W1968376936","https://openalex.org/W1971285640","https://openalex.org/W1972342898","https://openalex.org/W1978475940","https://openalex.org/W1982421072","https://openalex.org/W1985681033","https://openalex.org/W1991777578","https://openalex.org/W1997321933","https://openalex.org/W2003379898","https://openalex.org/W2005904620","https://openalex.org/W2016324258","https://openalex.org/W2018419001","https://openalex.org/W2027832430","https://openalex.org/W2027842332","https://openalex.org/W2030930825","https://openalex.org/W2034736441","https://openalex.org/W2052871565","https://openalex.org/W2064332562","https://openalex.org/W2064648205","https://openalex.org/W2080040522","https://openalex.org/W2083206954","https://openalex.org/W2083754610","https://openalex.org/W2098026535","https://openalex.org/W2101356155","https://openalex.org/W2122137889","https://openalex.org/W2135329423","https://openalex.org/W2144098834","https://openalex.org/W2151043893","https://openalex.org/W2239520516","https://openalex.org/W2298381282","https://openalex.org/W2331226313","https://openalex.org/W2331273645","https://openalex.org/W2482762127","https://openalex.org/W2798909945","https://openalex.org/W4235330460","https://openalex.org/W4242473853","https://openalex.org/W4254115559","https://openalex.org/W4293238311","https://openalex.org/W4301386114"],"related_works":["https://openalex.org/W4299978068","https://openalex.org/W2950745223","https://openalex.org/W2164189677","https://openalex.org/W4301407218","https://openalex.org/W4388311156","https://openalex.org/W4296771954","https://openalex.org/W4390620896","https://openalex.org/W2963735960","https://openalex.org/W1869870390","https://openalex.org/W2964287305"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2016-06-24T00:00:00"}