{"id":"https://openalex.org/W1997843647","doi":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<21::aid-nla68>3.0.co;2-g","title":"Toeplitz Preconditioners with Block Structure for First-order PDEs","display_name":"Toeplitz Preconditioners with Block Structure for First-order PDEs","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1997843647","doi":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<21::aid-nla68>3.0.co;2-g","mag":"1997843647"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1099-1506(199601/02)3:1<21::aid-nla68>3.0.co;2-g","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<21::aid-nla68>3.0.co;2-g","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/A5018432540","display_name":"Lina Hemmingsson","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Lina Hemmingsson","raw_affiliation_strings":["Department of Scientific Computing, Uppsala University, Box 120, S-751 04 Uppsala, Sweden","Department of Scientific Computing, Uppsala University, Box 120, S-751 04, Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing, Uppsala University, Box 120, S-751 04 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Department of Scientific Computing, Uppsala University, Box 120, S-751 04, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018432540"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":2.8191,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.90336333,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"1","first_page":"21","last_page":"44"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8345323801040649},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.7638139128684998},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7492687702178955},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4983694553375244},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4499642550945282},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.42408841848373413},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33208340406417847},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31095874309539795},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23854795098304749},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12561854720115662}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8345323801040649},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.7638139128684998},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7492687702178955},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4983694553375244},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4499642550945282},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.42408841848373413},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33208340406417847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31095874309539795},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23854795098304749},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12561854720115662}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1099-1506(199601/02)3:1<21::aid-nla68>3.0.co;2-g","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<21::aid-nla68>3.0.co;2-g","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/W1975491623","https://openalex.org/W2000374859","https://openalex.org/W2025799417","https://openalex.org/W2039206656","https://openalex.org/W2046651027","https://openalex.org/W2049232370","https://openalex.org/W2056978740","https://openalex.org/W2080097309","https://openalex.org/W2092085096","https://openalex.org/W2140153041"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1969863203","https://openalex.org/W1987843132","https://openalex.org/W1480644286","https://openalex.org/W2359223678","https://openalex.org/W4306293924"],"abstract_inverted_index":{"Preconditioners":[0],"to":[1],"nonsymmetric,":[2],"nondiagonally":[3],"dominant":[4],"systems":[5,48],"of":[6,30,49,60],"equations":[7,50],"are":[8,15],"constructed":[9],"and":[10],"examined":[11],"numerically.":[12],"The":[13,28],"preconditioners":[14,32],"based":[16],"on":[17],"a":[18,22,36,42,53,57,61],"Toeplitz":[19],"approach":[20],"with":[21,56],"certain":[23],"symmetry":[24],"that":[25],"we":[26,45],"define.":[27],"inversion":[29],"the":[31,47],"is":[33],"defined":[34],"through":[35],"Fast":[37],"Modified":[38],"Sine":[39],"Transform.":[40],"As":[41],"model":[43],"problem":[44],"study":[46],"arising":[51],"from":[52],"implicit":[54],"time-discretization":[55],"large":[58],"time-step":[59],"scalar":[62],"hyperbolic":[63],"PDE.":[64]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
