{"id":"https://openalex.org/W2158209907","doi":"https://doi.org/10.1109/hpcsim.2013.6641458","title":"Exponential integrators on graphic processing units","display_name":"Exponential integrators on graphic processing units","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2158209907","doi":"https://doi.org/10.1109/hpcsim.2013.6641458","mag":"2158209907"},"language":"en","primary_location":{"id":"doi:10.1109/hpcsim.2013.6641458","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpcsim.2013.6641458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on High Performance Computing & Simulation (HPCS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1309.4616","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019445901","display_name":"Lukas Einkemmer","orcid":"https://orcid.org/0000-0002-8798-2304"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Lukas Einkemmer","raw_affiliation_strings":["Department of Mathematics, University of Innsbruck, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Innsbruck, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047834422","display_name":"Alexander Ostermann","orcid":"https://orcid.org/0000-0003-0194-2481"},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Alexander Ostermann","raw_affiliation_strings":["Department of Mathematics, University of Innsbruck, Innsbruck, Austria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Innsbruck, Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019445901"],"corresponding_institution_ids":["https://openalex.org/I190249584"],"apc_list":null,"apc_paid":null,"fwci":0.9403,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76141621,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"69","issue":null,"first_page":"490","last_page":"496"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9973000288009644,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.8174351453781128},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7411755919456482},{"id":"https://openalex.org/keywords/cuda","display_name":"CUDA","score":0.6428601741790771},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5991056561470032},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5645341277122498},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.53165203332901},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.47899386286735535},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.45147010684013367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.335513710975647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19091886281967163},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.09049180150032043}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.8174351453781128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7411755919456482},{"id":"https://openalex.org/C2778119891","wikidata":"https://www.wikidata.org/wiki/Q477690","display_name":"CUDA","level":2,"score":0.6428601741790771},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5991056561470032},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5645341277122498},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.53165203332901},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.47899386286735535},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.45147010684013367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.335513710975647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19091886281967163},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.09049180150032043},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/hpcsim.2013.6641458","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpcsim.2013.6641458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on High Performance Computing & Simulation (HPCS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1309.4616","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.4616","pdf_url":"https://arxiv.org/pdf/1309.4616","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.756.3047","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.3047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1309.4616.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1309.4616","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.4616","pdf_url":"https://arxiv.org/pdf/1309.4616","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W186948278","https://openalex.org/W631064725","https://openalex.org/W973993968","https://openalex.org/W1509923322","https://openalex.org/W1631356911","https://openalex.org/W1902819800","https://openalex.org/W1968603705","https://openalex.org/W1971947347","https://openalex.org/W1989891543","https://openalex.org/W1995504856","https://openalex.org/W1997245285","https://openalex.org/W2018529115","https://openalex.org/W2042388195","https://openalex.org/W2059710204","https://openalex.org/W2076087297","https://openalex.org/W2097479462","https://openalex.org/W2109935967","https://openalex.org/W2113190809","https://openalex.org/W2113478610","https://openalex.org/W2124007994","https://openalex.org/W2128853364","https://openalex.org/W2154786353","https://openalex.org/W2167668966","https://openalex.org/W3108525348","https://openalex.org/W3152199537","https://openalex.org/W4211077197","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2076165488","https://openalex.org/W1977185554","https://openalex.org/W2177020196","https://openalex.org/W2548965310","https://openalex.org/W3189307731","https://openalex.org/W1428699136","https://openalex.org/W2949962288","https://openalex.org/W2364686214","https://openalex.org/W1998560227","https://openalex.org/W1429949169"],"abstract_inverted_index":{"In":[0,51],"this":[1],"paper":[2],"we":[3,53,70],"revisit":[4],"stencil":[5,56,98],"methods":[6,57,100],"on":[7],"GPUs":[8,117],"in":[9,20,82],"the":[10,21,42,48,72,113,122,125],"context":[11],"of":[12,74,80,124],"exponential":[13,75],"integrators.":[14],"We":[15,93],"further":[16,94],"discuss":[17,71],"boundary":[18,28,37],"conditions,":[19],"same":[22],"context,":[23],"and":[24,85],"show":[25,54,95],"that":[26,55,96],"simple":[27],"conditions":[29],"(for":[30],"example,":[31],"homogeneous":[32,35],"Dirichlet":[33],"or":[34],"Neumann":[36],"conditions)":[38],"do":[39],"not":[40],"affect":[41],"performance":[43],"if":[44],"implemented":[45,63],"directly":[46],"into":[47],"CUDA":[49],"kernel.":[50],"addition,":[52],"with":[58],"position-dependent":[59],"coefficients":[60],"can":[61,103],"be":[62,104],"efficiently":[64],"as":[65],"well.":[66],"As":[67],"an":[68],"application,":[69],"implementation":[73],"integrators":[76],"for":[77,97,109],"different":[78],"classes":[79],"problems":[81],"a":[83],"single":[84],"multi":[86],"GPU":[87],"setup":[88],"(up":[89],"to":[90,115],"4":[91],"GPUs).":[92],"based":[99],"such":[101],"parallelization":[102,114],"done":[105],"very":[106],"efficiently,":[107],"while":[108],"some":[110],"unstructured":[111],"matrices":[112],"multiple":[116],"is":[118],"severely":[119],"limited":[120],"by":[121],"throughput":[123],"PCIe":[126],"bus.":[127]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}