{"id":"https://openalex.org/W2901426413","doi":"https://doi.org/10.1134/s1995080219050056","title":"AMGCL: An Efficient, Flexible, and Extensible Algebraic Multigrid Implementation","display_name":"AMGCL: An Efficient, Flexible, and Extensible Algebraic Multigrid Implementation","publication_year":2019,"publication_date":"2019-05-01","ids":{"openalex":"https://openalex.org/W2901426413","doi":"https://doi.org/10.1134/s1995080219050056","mag":"2901426413"},"language":"en","primary_location":{"id":"doi:10.1134/s1995080219050056","doi":"https://doi.org/10.1134/s1995080219050056","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1995080219050056","pdf_url":null,"source":{"id":"https://openalex.org/S106263159","display_name":"Lobachevskii Journal of Mathematics","issn_l":"1818-9962","issn":["1818-9962","1995-0802"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lobachevskii Journal of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1811.05704","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034691447","display_name":"Denis Demidov","orcid":"https://orcid.org/0000-0002-5794-5326","observed_orcids":["https://orcid.org/0000-0002-5794-5326"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"D. Demidov","raw_affiliation_strings":["Kazan Branch of Joint Supercomputer Center, Russian Academy of Sciences, Kazan, 420111, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kazan Branch of Joint Supercomputer Center, Russian Academy of Sciences, Kazan, 420111, Russia","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034691447"],"corresponding_institution_ids":["https://openalex.org/I1313323035"],"apc_list":null,"apc_paid":null,"fwci":8.3405,"has_fulltext":true,"cited_by_count":124,"citation_normalized_percentile":{"value":0.9847485,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"40","issue":"5","first_page":"535","last_page":"546"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8227999806404114,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8227999806404114,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.10750000178813934,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.055399999022483826,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-multigrid","display_name":"algebraic multigrid","score":0.9829999804496765},{"id":"https://openalex.org/keywords/sparse-linear-systems","display_name":"sparse linear systems","score":0.9800000190734863},{"id":"https://openalex.org/keywords/c-library","display_name":"C++ library","score":0.7089999914169312},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"parallel computing","score":0.6309999823570251},{"id":"https://openalex.org/keywords/openmp","display_name":"OpenMP","score":0.8140000104904175},{"id":"https://openalex.org/keywords/opencl","display_name":"OpenCL","score":0.9739999771118164},{"id":"https://openalex.org/keywords/cuda","display_name":"CUDA","score":0.9990000128746033},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"distributed memory","score":0.656000018119812},{"id":"https://openalex.org/keywords/shared-memory","display_name":"shared memory","score":0.703000009059906},{"id":"https://openalex.org/keywords/unstructured-meshes","display_name":"unstructured grid","score":0.6990000009536743},{"id":"https://openalex.org/keywords/partial-differential-equations","display_name":"partial differential equations","score":0.8809999823570251}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8392999768257141},{"id":"https://openalex.org/C2778119891","wikidata":"https://www.wikidata.org/wiki/Q477690","display_name":"CUDA","level":2,"score":0.6294000148773193},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5752999782562256},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5389000177383423},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.5358999967575073},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5232999920845032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49639999866485596},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.47749999165534973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4726000130176544},{"id":"https://openalex.org/C32833848","wikidata":"https://www.wikidata.org/wiki/Q4115054","display_name":"Extensibility","level":2,"score":0.44850000739097595},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.43709999322891235},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.41269999742507935},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40400001406669617},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3903999924659729},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3882000148296356},{"id":"https://openalex.org/C26959085","wikidata":"https://www.wikidata.org/wiki/Q5275330","display_name":"Differential algebraic geometry","level":5,"score":0.34709998965263367},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3353999853134155},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.30090001225471497},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.2904999852180481},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.28949999809265137},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.2842000126838684},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.26579999923706055},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.25220000743865967},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25130000710487366}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1134/s1995080219050056","doi":"https://doi.org/10.1134/s1995080219050056","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1995080219050056","pdf_url":null,"source":{"id":"https://openalex.org/S106263159","display_name":"Lobachevskii Journal of Mathematics","issn_l":"1818-9962","issn":["1818-9962","1995-0802"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lobachevskii Journal of Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1811.05704","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.05704","pdf_url":"https://arxiv.org/pdf/1811.05704","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.1811.05704","doi":"https://doi.org/10.48550/arxiv.1811.05704","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1811.05704","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1811.05704","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.05704","pdf_url":"https://arxiv.org/pdf/1811.05704","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3287063641","display_name":null,"funder_award_id":"18-07-00964","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G5620362887","display_name":null,"funder_award_id":"18-47-160010","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321047","display_name":"Partnership for Advanced Computing in Europe AISBL","ror":"https://ror.org/038j4hz26"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320334801","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2901426413.pdf","grobid_xml":"https://content.openalex.org/works/W2901426413.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W164384110","https://openalex.org/W1506342804","https://openalex.org/W1525132831","https://openalex.org/W1567903304","https://openalex.org/W1575701986","https://openalex.org/W1598578620","https://openalex.org/W1831261599","https://openalex.org/W1984222112","https://openalex.org/W1985263109","https://openalex.org/W1988888548","https://openalex.org/W2003755503","https://openalex.org/W2013424510","https://openalex.org/W2022819055","https://openalex.org/W2042913171","https://openalex.org/W2050833073","https://openalex.org/W2054500568","https://openalex.org/W2070376917","https://openalex.org/W2072662440","https://openalex.org/W2082566622","https://openalex.org/W2119121660","https://openalex.org/W2142304406","https://openalex.org/W2177116738","https://openalex.org/W2319583746","https://openalex.org/W2498157954","https://openalex.org/W2962926460","https://openalex.org/W2973296080","https://openalex.org/W4393426323","https://openalex.org/W4393812240"],"related_works":["https://openalex.org/W3097183828","https://openalex.org/W3085393816","https://openalex.org/W2013078362","https://openalex.org/W3137862897","https://openalex.org/W1845641575","https://openalex.org/W7129689268","https://openalex.org/W2798451344","https://openalex.org/W127506999","https://openalex.org/W3136772163","https://openalex.org/W6907565420"],"abstract_inverted_index":{"The":[0,34,63],"paper":[1],"presents":[2],"AMGCL\u2014an":[3],"opensource":[4],"C++":[5],"library":[6,35],"implementing":[7],"the":[8,75],"algebraic":[9],"multigrid":[10],"method":[11],"(AMG)":[12],"for":[13],"solution":[14],"of":[15,20,26],"large":[16],"sparse":[17],"linear":[18],"systems":[19],"equations,":[21],"usually":[22],"arising":[23],"from":[24],"discretization":[25],"partial":[27],"differential":[28],"equations":[29],"on":[30,79],"an":[31],"unstructured":[32],"grid.":[33],"supports":[36],"both":[37],"shared":[38],"and":[39,59,70],"distributed":[40],"memory":[41],"computation,":[42],"allows":[43],"to":[44],"utilize":[45],"modern":[46],"massively":[47],"parallel":[48],"processors":[49],"via":[50],"OpenMP,":[51],"OpenCL,":[52],"or":[53],"CUDA":[54],"technologies,":[55],"has":[56],"minimal":[57],"dependencies,":[58],"is":[60,72,78],"easily":[61],"extensible.":[62],"design":[64],"principles":[65],"behind":[66],"AMGCL":[67],"are":[68],"discussed":[69],"it":[71],"shown":[73],"that":[74],"code":[76],"performance":[77],"par":[80],"with":[81],"alternative":[82],"implementations.":[83]},"counts_by_year":[{"year":2026,"cited_by_count":20},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":16}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2018-11-29T00:00:00"}
