{"id":"https://openalex.org/W4385199271","doi":"https://doi.org/10.1145/3606338","title":"A Fast Algorithm\u00a0for Aperiodic Linear Stencil Computation using Fast Fourier Transforms","display_name":"A Fast Algorithm\u00a0for Aperiodic Linear Stencil Computation using Fast Fourier Transforms","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W4385199271","doi":"https://doi.org/10.1145/3606338"},"language":"en","primary_location":{"id":"doi:10.1145/3606338","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3606338","pdf_url":null,"source":{"id":"https://openalex.org/S2483380313","display_name":"ACM Transactions on Parallel Computing","issn_l":"2329-4949","issn":["2329-4949","2329-4957"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Parallel 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/A5044129275","display_name":"Zafar Ahmad","orcid":"https://orcid.org/0000-0002-1066-7218"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zafar Ahmad","raw_affiliation_strings":["Stony Brook University, USA"],"affiliations":[{"raw_affiliation_string":"Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025290203","display_name":"Rezaul Chowdhury","orcid":"https://orcid.org/0000-0002-7022-5278"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rezaul Chowdhury","raw_affiliation_strings":["Stony Brook University, USA"],"affiliations":[{"raw_affiliation_string":"Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020629410","display_name":"Rathish Das","orcid":"https://orcid.org/0000-0002-2416-6422"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rathish Das","raw_affiliation_strings":["University of Houston, USA"],"affiliations":[{"raw_affiliation_string":"University of Houston, USA","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002918693","display_name":"Pramod Ganapathi","orcid":"https://orcid.org/0000-0001-5090-4444"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pramod Ganapathi","raw_affiliation_strings":["Stony Brook University, USA"],"affiliations":[{"raw_affiliation_string":"Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026039414","display_name":"Aaron Gregory","orcid":"https://orcid.org/0000-0003-3788-0796"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aaron Gregory","raw_affiliation_strings":["Stony Brook University, USA"],"affiliations":[{"raw_affiliation_string":"Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031117797","display_name":"Y. Zhu","orcid":"https://orcid.org/0009-0003-8771-5665"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yimin Zhu","raw_affiliation_strings":["Stony Brook University, USA"],"affiliations":[{"raw_affiliation_string":"Stony Brook University, USA","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5044129275"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":null,"apc_paid":null,"fwci":0.4005,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59962962,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"10","issue":"4","first_page":"1","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9973000288009644,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9973000288009644,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.996999979019165,"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/stencil","display_name":"Stencil","score":0.9504654407501221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7392942905426025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6656162738800049},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6256628036499023},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.625611424446106},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5654348731040955},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5499444007873535},{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.50485759973526},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4708390235900879},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4586091637611389},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4519580900669098},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.410064697265625},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2542770504951477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2123846709728241},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0870445966720581}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.9504654407501221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7392942905426025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6656162738800049},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6256628036499023},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.625611424446106},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5654348731040955},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5499444007873535},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.50485759973526},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4708390235900879},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4586091637611389},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4519580900669098},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.410064697265625},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2542770504951477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2123846709728241},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0870445966720581},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3606338","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3606338","pdf_url":null,"source":{"id":"https://openalex.org/S2483380313","display_name":"ACM Transactions on Parallel Computing","issn_l":"2329-4949","issn":["2329-4949","2329-4957"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Parallel Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.7300000190734863,"id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G1124548093","display_name":"CAREER: A Unified Framework for Designing Efficient  Resource-Oblivious Parallel Algorithms","funder_award_id":"1553510","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1304196372","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G1369922885","display_name":"CCF-BSF: AF: Small: Collaborative Research: The Dictionary Problem Considered","funder_award_id":"1716252","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1388200737","display_name":null,"funder_award_id":"grant ACI-1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1390987118","display_name":null,"funder_award_id":"CNS-1938709","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1433134892","display_name":null,"funder_award_id":"ACI-154856","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2165548363","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G2862252062","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G2902473203","display_name":null,"funder_award_id":"CCF-1725543","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2963653684","display_name":"SPX: Collaborative Research: Harnessing the Power of High-Bandwidth Memory via Provably Efficient Parallel Algorithms","funder_award_id":"1725543","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3146337093","display_name":"CSR: Medium: Approximate Membership Query Data Structures in Computational Biology and Storage","funder_award_id":"1763680","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3355158854","display_name":null,"funder_award_id":"548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G367708065","display_name":null,"funder_award_id":"ACI-1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3709464396","display_name":null,"funder_award_id":"-1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3730782400","display_name":null,"funder_award_id":"1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G531653307","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320320994","funder_display_name":"Canada Research Chairs"},{"id":"https://openalex.org/G5784215521","display_name":null,"funder_award_id":"Chair","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G6799604229","display_name":null,"funder_award_id":"ACI-1548562.","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7097317338","display_name":null,"funder_award_id":"CSR-1763680","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7260934811","display_name":null,"funder_award_id":"CI-1548562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7410429640","display_name":null,"funder_award_id":"CNS-1553510","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8239798060","display_name":null,"funder_award_id":"1938709","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8595721295","display_name":null,"funder_award_id":"NSERC","funder_id":"https://openalex.org/F4320320994","funder_display_name":"Canada Research Chairs"},{"id":"https://openalex.org/G919846122","display_name":null,"funder_award_id":"Chair","funder_id":"https://openalex.org/F4320320994","funder_display_name":"Canada Research Chairs"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":147,"referenced_works":["https://openalex.org/W55630753","https://openalex.org/W78483413","https://openalex.org/W81503906","https://openalex.org/W105972687","https://openalex.org/W235600206","https://openalex.org/W579952947","https://openalex.org/W1513554765","https://openalex.org/W1523446713","https://openalex.org/W1547833503","https://openalex.org/W1549562450","https://openalex.org/W1561247983","https://openalex.org/W1596353749","https://openalex.org/W1805381866","https://openalex.org/W1965081941","https://openalex.org/W1965537434","https://openalex.org/W1968013322","https://openalex.org/W1968642437","https://openalex.org/W1975706278","https://openalex.org/W1976429547","https://openalex.org/W1977447682","https://openalex.org/W1977696410","https://openalex.org/W1978562552","https://openalex.org/W1980632466","https://openalex.org/W1981284790","https://openalex.org/W1981325185","https://openalex.org/W1984452672","https://openalex.org/W1985883290","https://openalex.org/W1986651306","https://openalex.org/W1988016803","https://openalex.org/W1989019312","https://openalex.org/W1989157909","https://openalex.org/W1989374091","https://openalex.org/W1990523337","https://openalex.org/W1990792968","https://openalex.org/W1991009705","https://openalex.org/W1991285463","https://openalex.org/W1993029803","https://openalex.org/W1997147891","https://openalex.org/W1997654368","https://openalex.org/W1999080167","https://openalex.org/W1999322550","https://openalex.org/W2001412859","https://openalex.org/W2003887018","https://openalex.org/W2007588465","https://openalex.org/W2008832322","https://openalex.org/W2009001960","https://openalex.org/W2009215380","https://openalex.org/W2011530793","https://openalex.org/W2011818696","https://openalex.org/W2015288899","https://openalex.org/W2017489029","https://openalex.org/W2030624746","https://openalex.org/W2033139498","https://openalex.org/W2034927299","https://openalex.org/W2035608176","https://openalex.org/W2041842031","https://openalex.org/W2042199958","https://openalex.org/W2043348215","https://openalex.org/W2043838800","https://openalex.org/W2049312576","https://openalex.org/W2051142108","https://openalex.org/W2053513044","https://openalex.org/W2054308726","https://openalex.org/W2055976450","https://openalex.org/W2060180904","https://openalex.org/W2061171222","https://openalex.org/W2061512082","https://openalex.org/W2062392012","https://openalex.org/W2065209922","https://openalex.org/W2066925429","https://openalex.org/W2074157958","https://openalex.org/W2076662074","https://openalex.org/W2077143534","https://openalex.org/W2078887476","https://openalex.org/W2079559649","https://openalex.org/W2080097309","https://openalex.org/W2081748783","https://openalex.org/W2084501074","https://openalex.org/W2085612419","https://openalex.org/W2087896083","https://openalex.org/W2089598668","https://openalex.org/W2089789927","https://openalex.org/W2090843874","https://openalex.org/W2102182691","https://openalex.org/W2103318852","https://openalex.org/W2104051973","https://openalex.org/W2104871059","https://openalex.org/W2112548197","https://openalex.org/W2116830348","https://openalex.org/W2124741346","https://openalex.org/W2134108260","https://openalex.org/W2135548427","https://openalex.org/W2136268269","https://openalex.org/W2137123220","https://openalex.org/W2137512990","https://openalex.org/W2143575988","https://openalex.org/W2151764765","https://openalex.org/W2162151267","https://openalex.org/W2164393577","https://openalex.org/W2177697562","https://openalex.org/W2179715625","https://openalex.org/W2193453414","https://openalex.org/W2318529993","https://openalex.org/W2319890895","https://openalex.org/W2407519531","https://openalex.org/W2488797671","https://openalex.org/W2518829663","https://openalex.org/W2528222261","https://openalex.org/W2555375835","https://openalex.org/W2622013296","https://openalex.org/W2735156122","https://openalex.org/W2764942935","https://openalex.org/W2792190530","https://openalex.org/W2875630249","https://openalex.org/W2888730305","https://openalex.org/W2889543163","https://openalex.org/W2901430700","https://openalex.org/W2904838066","https://openalex.org/W2912263513","https://openalex.org/W2913924416","https://openalex.org/W2914237411","https://openalex.org/W2928783453","https://openalex.org/W2960494850","https://openalex.org/W2982784807","https://openalex.org/W3020936970","https://openalex.org/W3021247923","https://openalex.org/W3032975155","https://openalex.org/W3041171185","https://openalex.org/W3088517922","https://openalex.org/W3099651241","https://openalex.org/W3102306075","https://openalex.org/W3102487335","https://openalex.org/W4229786028","https://openalex.org/W4232403358","https://openalex.org/W4236316076","https://openalex.org/W4242954585","https://openalex.org/W4243833160","https://openalex.org/W4246219036","https://openalex.org/W4246263814","https://openalex.org/W4249281653","https://openalex.org/W4251637954","https://openalex.org/W4256425409","https://openalex.org/W4297776040","https://openalex.org/W4298350849","https://openalex.org/W4300666158","https://openalex.org/W4302572571","https://openalex.org/W6654285901"],"related_works":["https://openalex.org/W3105129168","https://openalex.org/W2804920739","https://openalex.org/W2037661079","https://openalex.org/W4316371992","https://openalex.org/W2186216222","https://openalex.org/W2339191433","https://openalex.org/W2392765154","https://openalex.org/W2564509292","https://openalex.org/W4220811941","https://openalex.org/W2008005532"],"abstract_inverted_index":{"Stencil":[0],"computations":[1],"are":[2,63],"widely":[3],"used":[4],"to":[5,92,159,236],"simulate":[6],"the":[7,122,125,131,144,151,166],"change":[8],"of":[9,11,124,133,146,206,212,224],"state":[10],"physical":[12],"systems":[13],"across":[14],"a":[15,89,94],"multidimensional":[16],"grid":[17,127,162],"over":[18],"multiple":[19],"timesteps.":[20],"The":[21],"state-of-the-art":[22,228],"techniques":[23],"in":[24,60],"this":[25,44,61],"area":[26],"fall":[27],"into":[28],"three":[29],"groups:":[30],"cache-aware":[31],"tiled":[32],"looping":[33],"algorithms,":[34,38],"cache-oblivious":[35],"divide-and-conquer":[36],"trapezoidal":[37],"and":[39,66,72,101,128,179,183,192,234],"Krylov":[40,67,90],"subspace":[41],"methods.":[42],"In":[43],"article,":[45],"we":[46,149],"present":[47],"two":[48],"efficient":[49],"parallel":[50,193],"algorithms":[51,108,136,153,175,208],"for":[52,79,109,169,217,230,239],"performing":[53],"linear":[54,80,112],"stencil":[55,232,241],"computations.":[56],"Current":[57],"direct":[58,95],"solvers":[59],"domain":[62],"computationally":[64],"inefficient,":[65],"methods":[68],"require":[69],"manual":[70],"labor":[71],"mathematical":[73],"training.":[74],"We":[75],"solve":[76],"these":[77],"problems":[78],"stencils":[81,113],"by":[82,164],"using":[83],"discrete":[84],"Fourier":[85,157],"transforms":[86,158],"preconditioning":[87],"on":[88],"method":[91],"achieve":[93,184],"solver":[96],"that":[97,154,204,209],"is":[98,121,130],"both":[99,177],"fast":[100,156],"general.":[102],"Indeed,":[103],"while":[104],"all":[105,196],"currently":[106],"available":[107],"solving":[110],"general":[111],"perform":[114,137],"\u0398(":[115],"NT":[116,140],")":[117,141],"work,":[118],"where":[119],"N":[120],"size":[123],"spatial":[126],"T":[129],"number":[132],"timesteps,":[134],"our":[135,147,207],"o":[138],"(":[139],"work.":[142],"To":[143],"best":[145],"knowledge,":[148],"give":[150],"first":[152],"use":[155],"compute":[160],"final":[161],"data":[163,168],"evolving":[165],"initial":[167],"many":[170],"timesteps":[171,221],"at":[172],"once.":[173],"Our":[174],"handle":[176],"periodic":[178,231],"aperiodic":[180,240],"boundary":[181],"conditions":[182],"polynomially":[185],"better":[186],"performance":[187],"bounds":[188],"(i.e.,":[189],"computational":[190],"complexity":[191],"runtime)":[194],"than":[195,227],"other":[197],"existing":[198],"solutions.":[199],"Initial":[200],"experimental":[201],"results":[202],"show":[203],"implementations":[205,229],"evolve":[210],"grids":[211],"roughly":[213],"10":[214,219],"7":[215],"cells":[216],"around":[218],"5":[220],"run":[222],"orders":[223],"magnitude":[225],"faster":[226,238],"problems,":[233],"1.3\u00d7":[235],"8.5\u00d7":[237],"problems.":[242],"Code":[243],"Repository:":[244],"https://github.com/TEAlab/FFTStencils":[245]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
