{"id":"https://openalex.org/W2049352126","doi":"https://doi.org/10.1137/s0036144594266284","title":"Taking Advantage of the Potentialities of Dynamically Modified Block Incomplete Factorizations","display_name":"Taking Advantage of the Potentialities of Dynamically Modified Block Incomplete Factorizations","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W2049352126","doi":"https://doi.org/10.1137/s0036144594266284","mag":"2049352126"},"language":"en","primary_location":{"id":"doi:10.1137/s0036144594266284","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144594266284","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific 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/A5030349717","display_name":"Monga-Made Magolu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Magolu Monga-Made","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030349717"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9087,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.95629419,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"4","first_page":"1083","last_page":"1108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9979000091552734,"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/discretization","display_name":"Discretization","score":0.7783893346786499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7687346935272217},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.7646764516830444},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5804755687713623},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5714931488037109},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5644394159317017},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5538797378540039},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5447978377342224},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.48771366477012634},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39130327105522156},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3050506114959717},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11470890045166016}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7783893346786499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7687346935272217},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7646764516830444},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5804755687713623},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5714931488037109},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5644394159317017},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5538797378540039},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5447978377342224},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.48771366477012634},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39130327105522156},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3050506114959717},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11470890045166016},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036144594266284","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144594266284","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"No poverty","id":"https://metadata.un.org/sdg/1","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W28710127","https://openalex.org/W425393852","https://openalex.org/W1493981498","https://openalex.org/W1500921805","https://openalex.org/W1513033553","https://openalex.org/W1546004968","https://openalex.org/W1559203263","https://openalex.org/W1575701986","https://openalex.org/W1594585037","https://openalex.org/W1854226152","https://openalex.org/W1968616720","https://openalex.org/W1973590515","https://openalex.org/W1983649071","https://openalex.org/W1984828294","https://openalex.org/W1989507268","https://openalex.org/W1990591435","https://openalex.org/W2000374859","https://openalex.org/W2003218817","https://openalex.org/W2010298350","https://openalex.org/W2012728721","https://openalex.org/W2020950075","https://openalex.org/W2021211796","https://openalex.org/W2027764906","https://openalex.org/W2029894628","https://openalex.org/W2032599937","https://openalex.org/W2037390210","https://openalex.org/W2038535655","https://openalex.org/W2038925070","https://openalex.org/W2044382913","https://openalex.org/W2045244586","https://openalex.org/W2047151498","https://openalex.org/W2061813658","https://openalex.org/W2064616889","https://openalex.org/W2065090106","https://openalex.org/W2065205300","https://openalex.org/W2066399015","https://openalex.org/W2066436881","https://openalex.org/W2067010774","https://openalex.org/W2068518458","https://openalex.org/W2074190947","https://openalex.org/W2092293277","https://openalex.org/W2093247664","https://openalex.org/W2093607584","https://openalex.org/W2107010019","https://openalex.org/W2116284739","https://openalex.org/W2133480447","https://openalex.org/W2148591729","https://openalex.org/W2290645807","https://openalex.org/W2476631907","https://openalex.org/W2569133694","https://openalex.org/W2742886347","https://openalex.org/W3035235874","https://openalex.org/W4206028080","https://openalex.org/W4238784554","https://openalex.org/W4246716883"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2794789911","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W2793786119"],"abstract_inverted_index":{"Recently,":[0],"modified":[1],"block":[2,58],"incomplete":[3],"factorizations":[4],"with":[5],"dynamic":[6,51],"diagonal":[7,101],"perturbations":[8,102],"have":[9],"been":[10],"introduced":[11],"as":[12],"preconditioning":[13],"techniques":[14],"to":[15,56,80,110],"solve":[16],"large":[17],"linear":[18],"systems,":[19],"and":[20,26,116],"were":[21],"successfully":[22],"tested":[23,117],"on":[24,39,118],"isotropic":[25],"moderately":[27],"anisotropic":[28],"two-dimensional":[29,120],"partial":[30],"differential":[31],"equations":[32],"(PDEs).":[33],"An":[34],"analytic":[35],"study":[36],"is":[37,82,86],"performed":[38],"the":[40,62,66,70,91],"basis":[41],"of":[42,45,69,93,97],"improved":[43],"versions":[44],"results":[46],"published":[47],"elsewhere,":[48],"displaying":[49],"why":[50],"methods":[52],"should":[53],"be":[54],"preferred":[55],"standard":[57],"methods;":[59],"in":[60,90,105],"particular":[61],"empirical":[63],"observation":[64],"that":[65],"optimal":[67],"choice":[68],"involved":[71],"parameter":[72],"does":[73],"not":[74],"significantly":[75],"vary":[76],"from":[77],"one":[78],"problem":[79],"another":[81],"theoretically":[83],"confirmed.":[84],"It":[85],"also":[87],"explained":[88],"why,":[89],"case":[92],"strong":[94],"anisotropy,":[95],"lack":[96],"attention":[98],"when":[99],"adding":[100],"may":[103],"result":[104],"very":[106],"poor":[107],"performance.":[108],"Rules":[109],"surmount":[111],"this":[112],"inconvenience":[113],"are":[114],"discussed":[115],"discretized":[119],"PDEs.":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}