{"id":"https://openalex.org/W1964507555","doi":"https://doi.org/10.1137/s106482759630379x","title":"Iterative and Parallel Performance of High-Order Compact Systems","display_name":"Iterative and Parallel Performance of High-Order Compact Systems","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1964507555","doi":"https://doi.org/10.1137/s106482759630379x","mag":"1964507555"},"language":"en","primary_location":{"id":"doi:10.1137/s106482759630379x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s106482759630379x","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/A5002067230","display_name":"William Spotz","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W. F. Spotz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078215724","display_name":"Graham F. Carey","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. F. Carey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9264,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.72010629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"1","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.973800003528595,"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":0.973800003528595,"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":0.9517999887466431,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9172000288963318,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7044133543968201},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.6967207789421082},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5234448313713074},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.4953523874282837},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45767590403556824},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4384458661079407},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2981741726398468},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2648228406906128},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24615782499313354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.216545969247818},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.13353592157363892}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7044133543968201},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6967207789421082},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5234448313713074},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.4953523874282837},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45767590403556824},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4384458661079407},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2981741726398468},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2648228406906128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24615782499313354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.216545969247818},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.13353592157363892},{"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/s106482759630379x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s106482759630379x","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1981950258","https://openalex.org/W1982337795","https://openalex.org/W1988462838","https://openalex.org/W1998788695","https://openalex.org/W2023805686","https://openalex.org/W2079438813","https://openalex.org/W2091575450","https://openalex.org/W2098920641","https://openalex.org/W2118841251","https://openalex.org/W2119671975","https://openalex.org/W2143721623","https://openalex.org/W4240120836"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W2026995906","https://openalex.org/W2161448262","https://openalex.org/W2057289358","https://openalex.org/W2412311587","https://openalex.org/W2040941802","https://openalex.org/W2084415399","https://openalex.org/W4238207569","https://openalex.org/W2339251345"],"abstract_inverted_index":{"Representative":[0],"transport":[1],"PDE":[2],"problems":[3],"in":[4],"one,":[5],"two,":[6],"and":[7,21,24,31,40,53,63,71],"three":[8],"dimensions":[9],"are":[10,27,38,66],"approximated":[11],"by":[12],"a":[13],"class":[14],"of":[15,34,43],"high-order":[16],"compact":[17],"(HOC)":[18],"difference":[19],"schemes":[20,37],"their":[22],"iterative":[23],"parallel":[25],"performance":[26,42],"studied.":[28],"The":[29],"eigenvalues":[30],"condition":[32],"numbers":[33],"the":[35,41],"HOC":[36],"analyzed":[39],"standard":[44,54],"Krylov-space":[45],"methods":[46],"is":[47],"compared":[48],"for":[49,68],"HOC,":[50],"central":[51],"differencing,":[52],"first-order":[55],"upwinding":[56],"schemes.":[57],"Finally,":[58],"CPU":[59],"times,":[60],"MFLOP":[61],"rates,":[62],"speedup":[64],"curves":[65],"presented":[67],"fixed-problem-size":[69],"cases":[70],"scaled-problem-size":[72],"cases.":[73]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}