{"id":"https://openalex.org/W2009288786","doi":"https://doi.org/10.1080/00207169708804555","title":"Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes","display_name":"Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2009288786","doi":"https://doi.org/10.1080/00207169708804555","mag":"2009288786"},"language":"en","primary_location":{"id":"doi:10.1080/00207169708804555","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804555","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5024568720","display_name":"Muddun Bhuruth","orcid":"https://orcid.org/0000-0003-4233-9937"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Bhuruth","raw_affiliation_strings":["Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050075410","display_name":"David Evans","orcid":"https://orcid.org/0009-0002-2834-6700"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D.J. Evans","raw_affiliation_strings":["Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Parallel Algorithms Research Centre, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":0.511,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.6310719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"63","issue":"1-2","first_page":"121","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980999827384949,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.937859296798706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7862036228179932},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.7159613370895386},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.598044216632843},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5686214566230774},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5676592588424683},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5166685581207275},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5093187093734741},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4574439227581024},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4278346300125122},{"id":"https://openalex.org/keywords/alternating-group","display_name":"Alternating group","score":0.4122089445590973},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3278355598449707},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23304623365402222},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1992059051990509},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19282463192939758},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1505124866962433},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.07011538743972778},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.04492947459220886}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.937859296798706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7862036228179932},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.7159613370895386},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.598044216632843},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5686214566230774},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5676592588424683},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5166685581207275},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5093187093734741},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4574439227581024},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4278346300125122},{"id":"https://openalex.org/C38847919","wikidata":"https://www.wikidata.org/wiki/Q438814","display_name":"Alternating group","level":3,"score":0.4122089445590973},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3278355598449707},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23304623365402222},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1992059051990509},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19282463192939758},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1505124866962433},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.07011538743972778},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.04492947459220886},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169708804555","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169708804555","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":24,"referenced_works":["https://openalex.org/W55733600","https://openalex.org/W353421789","https://openalex.org/W613931187","https://openalex.org/W1495278797","https://openalex.org/W1538878357","https://openalex.org/W1546004968","https://openalex.org/W1575701986","https://openalex.org/W2021810545","https://openalex.org/W2026663650","https://openalex.org/W2027764906","https://openalex.org/W2030963577","https://openalex.org/W2032354159","https://openalex.org/W2071037826","https://openalex.org/W2085259167","https://openalex.org/W2086520888","https://openalex.org/W2088116381","https://openalex.org/W2097385991","https://openalex.org/W2114243609","https://openalex.org/W2140153041","https://openalex.org/W2156994715","https://openalex.org/W2317773555","https://openalex.org/W2475834456","https://openalex.org/W2496676850","https://openalex.org/W4232913110"],"related_works":["https://openalex.org/W1575783825","https://openalex.org/W2096346341","https://openalex.org/W2525981419","https://openalex.org/W3139004046","https://openalex.org/W2890462359","https://openalex.org/W4289542714","https://openalex.org/W4200609644","https://openalex.org/W4318200600","https://openalex.org/W3169856766","https://openalex.org/W1551327243"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,29,34,65],"block":[3],"alternating":[4],"group":[5],"explicit":[6],"method":[7],"(BLAGE)":[8],"as":[9],"a":[10,13],"preconditioner":[11,30,52],"for":[12,64],"class":[14,66],"of":[15,28,67],"unsymmetric":[16,68],"linear":[17],"systems":[18],"arising":[19],"from":[20],"fourth":[21,69],"order":[22,70],"finite":[23],"difference":[24,71],"schemes.":[25],"An":[26],"advantage":[27],"proposed":[31],"is":[32,53],"that":[33],"preconditioning":[35],"operations":[36],"can":[37,44],"be":[38,46,56],"divided":[39],"into":[40],"several":[41],"subproblems":[42],"which":[43],"then":[45],"run":[47],"in":[48,59,74],"parallel.":[49],"The":[50],"BLAGE":[51],"shown":[54],"to":[55],"extremely":[57],"effective":[58],"achieving":[60],"optimal":[61],"convergence":[62],"rates":[63],"schemes":[72],"considered":[73],"this":[75],"paper":[76]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}