{"id":"https://openalex.org/W2744517380","doi":"https://doi.org/10.1007/s00791-018-00306-6","title":"Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion","display_name":"Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion","publication_year":2019,"publication_date":"2019-02-01","ids":{"openalex":"https://openalex.org/W2744517380","doi":"https://doi.org/10.1007/s00791-018-00306-6","mag":"2744517380"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-018-00306-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-018-00306-6","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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 and Visualization in Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1708.02526","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004011243","display_name":"Christian Vollmann","orcid":"https://orcid.org/0000-0002-0351-0044"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Vollmann","raw_affiliation_strings":["Universitaet Trier, Trier, Germany","\u2002University of Trier"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitaet Trier, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]},{"raw_affiliation_string":"\u2002University of Trier","institution_ids":["https://openalex.org/I89864525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020947690","display_name":"Volker Schulz","orcid":"https://orcid.org/0000-0001-7665-130X"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Volker Schulz","raw_affiliation_strings":["Universitaet Trier, Trier, Germany","\u2002University of Trier"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitaet Trier, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]},{"raw_affiliation_string":"\u2002University of Trier","institution_ids":["https://openalex.org/I89864525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004011243","https://openalex.org/A5020947690"],"corresponding_institution_ids":["https://openalex.org/I89864525"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.1498,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.36408223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"20","issue":"1-2","first_page":"29","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5717049241065979},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5705103278160095},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.5152547955513},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4757953882217407},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.46631771326065063},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4660208225250244},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.45915356278419495},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4588063955307007},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4199936091899872},{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.4105912446975708},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39924609661102295},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.39538517594337463},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2393670678138733},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11863484978675842}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5717049241065979},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5705103278160095},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.5152547955513},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4757953882217407},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.46631771326065063},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4660208225250244},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.45915356278419495},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4588063955307007},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4199936091899872},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.4105912446975708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39924609661102295},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.39538517594337463},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2393670678138733},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11863484978675842},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00791-018-00306-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-018-00306-6","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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 and Visualization in Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1708.02526","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.02526","pdf_url":"https://arxiv.org/pdf/1708.02526","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2744517380","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1708.02526.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1708.02526","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1708.02526","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1708.02526","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1708.02526","pdf_url":"https://arxiv.org/pdf/1708.02526","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W580995186","https://openalex.org/W582364689","https://openalex.org/W1895520453","https://openalex.org/W1969578814","https://openalex.org/W1973127220","https://openalex.org/W1986544454","https://openalex.org/W1999695483","https://openalex.org/W2008247388","https://openalex.org/W2016823491","https://openalex.org/W2029529153","https://openalex.org/W2040600273","https://openalex.org/W2055423893","https://openalex.org/W2060945009","https://openalex.org/W2080097309","https://openalex.org/W2108280101","https://openalex.org/W2114010261","https://openalex.org/W2123007255","https://openalex.org/W2139045013","https://openalex.org/W2143206135","https://openalex.org/W2395085125","https://openalex.org/W2397149096","https://openalex.org/W2532859297","https://openalex.org/W2592443645","https://openalex.org/W2798287045","https://openalex.org/W2948846409","https://openalex.org/W2963979162","https://openalex.org/W3029645440","https://openalex.org/W3123275897","https://openalex.org/W3135067840","https://openalex.org/W4293775970","https://openalex.org/W6600050674"],"related_works":["https://openalex.org/W2980199461","https://openalex.org/W2564341325","https://openalex.org/W2991482801","https://openalex.org/W3185310847","https://openalex.org/W2284700846","https://openalex.org/W3169325593","https://openalex.org/W2174255570","https://openalex.org/W2591958009","https://openalex.org/W2490415376","https://openalex.org/W2793423660","https://openalex.org/W67966862","https://openalex.org/W2030031881","https://openalex.org/W206714260","https://openalex.org/W3045783687","https://openalex.org/W2204455842","https://openalex.org/W3155333505","https://openalex.org/W3160318188","https://openalex.org/W3148298149","https://openalex.org/W2980396542","https://openalex.org/W2001264023"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}