{"id":"https://openalex.org/W1978478902","doi":"https://doi.org/10.1137/0911025","title":"Adaptation of a Two-Point Boundary Value Problem Solver to a Vector-Multiprocessor Environment","display_name":"Adaptation of a Two-Point Boundary Value Problem Solver to a Vector-Multiprocessor Environment","publication_year":1990,"publication_date":"1990-05-01","ids":{"openalex":"https://openalex.org/W1978478902","doi":"https://doi.org/10.1137/0911025","mag":"1978478902"},"language":"en","primary_location":{"id":"doi:10.1137/0911025","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0911025","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical 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/A5046109083","display_name":"Stephen J. Wright","orcid":"https://orcid.org/0000-0001-6815-7379"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. J. Wright","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5031771708","display_name":"V\u00edctor Pereyra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. Pereyra","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046109083"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3619,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.87418301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"3","first_page":"425","last_page":"449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9890000224113464,"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":0.9890000224113464,"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":0.9670000076293945,"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/T10514","display_name":"Numerical methods in engineering","score":0.9323999881744385,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6755539178848267},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6214834451675415},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5677690505981445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5176756381988525},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.5147964358329773},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5075920820236206},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.507543683052063},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4756069779396057},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4336608052253723},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.4159361720085144},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4128318130970001},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4122995138168335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3860609233379364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37901920080184937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27997422218322754},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16387569904327393}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6755539178848267},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6214834451675415},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5677690505981445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5176756381988525},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.5147964358329773},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5075920820236206},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.507543683052063},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4756069779396057},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4336608052253723},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.4159361720085144},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4128318130970001},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4122995138168335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3860609233379364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37901920080184937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27997422218322754},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16387569904327393},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0911025","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0911025","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W659096837","https://openalex.org/W1496738390","https://openalex.org/W1570752092","https://openalex.org/W1967688083","https://openalex.org/W2004924114","https://openalex.org/W2036044118","https://openalex.org/W2036279989","https://openalex.org/W2039368704","https://openalex.org/W2046959970","https://openalex.org/W2059331835","https://openalex.org/W2163612185","https://openalex.org/W2568618671","https://openalex.org/W4206119392","https://openalex.org/W4300831536"],"related_works":["https://openalex.org/W1532878563","https://openalex.org/W2037738710","https://openalex.org/W1584148758","https://openalex.org/W2051403509","https://openalex.org/W2998530998","https://openalex.org/W4385417781","https://openalex.org/W2130795715","https://openalex.org/W2332399844","https://openalex.org/W1988602319","https://openalex.org/W3194345653"],"abstract_inverted_index":{"Systems":[0],"of":[1,8,23,41,54,63],"linear":[2,47,78],"equations":[3],"arising":[4,80],"from":[5,81],"finite-difference":[6],"discretization":[7],"two-point":[9,85],"boundary":[10,86],"value":[11,87],"problems":[12],"have":[13],"coefficient":[14],"matrices":[15,42],"that":[16],"are":[17,49],"sparse,":[18],"with":[19],"most":[20],"or":[21],"all":[22],"the":[24,30,45,55,61],"nonzeros":[25],"clustered":[26],"in":[27],"blocks":[28],"near":[29],"main":[31],"diagonal.":[32],"Some":[33],"efficiently":[34],"vectorizable":[35],"algorithms":[36,57],"for":[37,84],"factorizing":[38],"these":[39],"types":[40],"and":[43,66,93],"solving":[44],"corresponding":[46],"systems":[48,79],"described.":[50],"The":[51,70],"relative":[52],"effectiveness":[53],"different":[56],"varies":[58],"according":[59],"to":[60,76,97],"distribution":[62],"initial,":[64],"final,":[65],"coupled":[67],"end":[68],"conditions.":[69],"techniques":[71],"described":[72],"can":[73],"be":[74],"extended":[75],"handle":[77],"other":[82],"methods":[83],"problems,":[88],"such":[89],"as":[90],"multiple":[91],"shooting":[92],"collocation.":[94],"An":[95],"application":[96],"seismic":[98],"ray":[99],"tracing":[100],"is":[101],"discussed.":[102]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
