{"id":"https://openalex.org/W1996639891","doi":"https://doi.org/10.1137/s1064827595288942","title":"Provably Good Partitioning and Load Balancing Algorithms for Parallel Adaptive N-Body Simulation","display_name":"Provably Good Partitioning and Load Balancing Algorithms for Parallel Adaptive N-Body Simulation","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1996639891","doi":"https://doi.org/10.1137/s1064827595288942","mag":"1996639891"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827595288942","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595288942","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/A5102005063","display_name":"Shang\u2010Hua Teng","orcid":"https://orcid.org/0000-0001-5011-4514"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shang-Hua Teng","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102005063"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8467,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.85518591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"19","issue":"2","first_page":"635","last_page":"656"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9915000200271606,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/graph-partition","display_name":"Graph partition","score":0.666304886341095},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.60817551612854},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5887198448181152},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5808253288269043},{"id":"https://openalex.org/keywords/load-balancing","display_name":"Load balancing (electrical power)","score":0.5764455795288086},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.559283435344696},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5242800116539001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5011703968048096},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4617268145084381},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.4242144525051117},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3958854675292969},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37078213691711426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36138856410980225},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.353139728307724},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.33810701966285706},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.1359562873840332},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.12411612272262573},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11666423082351685}],"concepts":[{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.666304886341095},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.60817551612854},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5887198448181152},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5808253288269043},{"id":"https://openalex.org/C138959212","wikidata":"https://www.wikidata.org/wiki/Q1806783","display_name":"Load balancing (electrical power)","level":3,"score":0.5764455795288086},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.559283435344696},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5242800116539001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5011703968048096},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4617268145084381},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.4242144525051117},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3958854675292969},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37078213691711426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36138856410980225},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.353139728307724},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.33810701966285706},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.1359562873840332},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.12411612272262573},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11666423082351685},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827595288942","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827595288942","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.647.283","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.647.283","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cacs.usc.edu/education/cs653/Teng-LoadBanaceFMM-SISC98.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1971758446","https://openalex.org/W1988552931","https://openalex.org/W1997631839","https://openalex.org/W2011842427","https://openalex.org/W2050576295","https://openalex.org/W2054011861","https://openalex.org/W2058301175","https://openalex.org/W2077852080","https://openalex.org/W2083206954","https://openalex.org/W2088644550","https://openalex.org/W2106978190"],"related_works":["https://openalex.org/W2380023786","https://openalex.org/W1569389315","https://openalex.org/W2503642292","https://openalex.org/W2512446543","https://openalex.org/W2090121564","https://openalex.org/W2136882448","https://openalex.org/W2107523406","https://openalex.org/W4300822877","https://openalex.org/W2172038707","https://openalex.org/W1996639891"],"abstract_inverted_index":{"We":[0,55],"present":[1],"an":[2,81],"efficient":[3,184],"and":[4,8,50,73,106,116,130,137,182],"provably":[5],"good":[6,65],"partitioning":[7,156],"load":[9,100],"balancing":[10],"algorithm":[11],"for":[12,86,89,114,135,160],"parallel":[13,168,186],"adaptive":[14,169],"N-body":[15,41,82,157,170,187],"simulation.":[16],"The":[17],"main":[18],"ingredient":[19],"of":[20,28,31,60,111,127,143,155],"our":[21,144],"method":[22,48,53],"is":[23,147],"a":[24,29,64],"novel":[25],"geometric":[26],"characterization":[27],"class":[30],"communication":[32,58,83,158],"graphs":[33,59,159],"that":[34,57,67,80,167],"can":[35,68,91,172],"be":[36,69,92,173],"used":[37],"to":[38],"support":[39],"hierarchical":[40],"methods":[42,62],"such":[43],"as":[44,175,177,183,185],"the":[45,51,141,148,153],"fast":[46],"multipole":[47],"(FMM)":[49],"Barnes--Hut":[52],"(BH).":[54],"show":[56,79],"these":[61],"have":[63],"partition":[66],"found":[70],"efficiently":[71],"sequentially":[72],"in":[74],"parallel.":[75],"In":[76],"particular,":[77],"we":[78],"graph":[84],"(either":[85],"BH":[87],"or":[88],"FMM)":[90],"partitioned":[93],"into":[94],"two":[95,115,136],"subgraphs":[96],"with":[97],"equal":[98],"computation":[99,178],"by":[101],"removing":[102],"only":[103],"$O(\\sqrt{n\\log":[104],"n})$":[105],"O(n2/3":[107,131],"(log":[108,132],"n)1/3)":[109],"number":[110],"nodes,":[112],"respectively,":[113,134],"three":[117,138],"dimensions.":[118,139],"These":[119],"bounds":[120,124],"on":[121,125,152,179,189],"node-partition":[122],"imply":[123,166],"edge-partition":[126],"$O(\\sqrt{n}(\\log":[128],"n)^{3/2})$":[129],"n)4/3),":[133],"To":[140],"best":[142],"knowledge,":[145],"this":[146],"first":[149],"theoretical":[150],"result":[151],"quality":[154],"nonuniformly":[161],"distributed":[162,191],"particles.":[163,192],"Our":[164],"results":[165],"simulation":[171,188],"made":[174],"scalable":[176],"regular":[180],"grids":[181],"uniformly":[190]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
