{"id":"https://openalex.org/W2995403156","doi":"https://doi.org/10.1145/3445791","title":"PCPATCH","display_name":"PCPATCH","publication_year":2021,"publication_date":"2021-06-26","ids":{"openalex":"https://openalex.org/W2995403156","doi":"https://doi.org/10.1145/3445791","mag":"2995403156"},"language":"en","primary_location":{"id":"doi:10.1145/3445791","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3445791","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3445791","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"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 Mathematical Software","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3445791","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102855060","display_name":"Patrick E. Farrell","orcid":"https://orcid.org/0000-0002-1241-7060"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Patrick E. Farrell","raw_affiliation_strings":["University of Oxford, Oxford, UK"],"raw_orcid":"https://orcid.org/0000-0002-1241-7060","affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011949071","display_name":"Matthew G. Knepley","orcid":"https://orcid.org/0000-0002-2292-0735"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew G. Knepley","raw_affiliation_strings":["University at Buffalo, Buffalo, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-2292-0735","affiliations":[{"raw_affiliation_string":"University at Buffalo, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075683889","display_name":"Lawrence Mitchell","orcid":"https://orcid.org/0000-0001-8062-1453"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lawrence Mitchell","raw_affiliation_strings":["Durham University, Durham, UK"],"raw_orcid":"https://orcid.org/0000-0001-8062-1453","affiliations":[{"raw_affiliation_string":"Durham University, Durham, UK","institution_ids":["https://openalex.org/I190082696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065024606","display_name":"Florian Wechsung","orcid":"https://orcid.org/0000-0003-2195-6522"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Florian Wechsung","raw_affiliation_strings":["New York University, New York, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University, New York, NY, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4833,"has_fulltext":true,"cited_by_count":38,"citation_normalized_percentile":{"value":0.95795709,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"47","issue":"3","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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":0.9962999820709229,"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/T11416","display_name":"Numerical methods for differential equations","score":0.995199978351593,"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/multigrid-method","display_name":"Multigrid method","score":0.76175457239151},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6384362578392029},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6139264106750488},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.5456505417823792},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5295613408088684},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.49229633808135986},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4555957317352295},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.44146889448165894},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.44129347801208496},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.343576580286026},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3351134657859802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.329248309135437},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32583725452423096},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.18301540613174438},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09881716966629028},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09482431411743164},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08284461498260498}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.76175457239151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6384362578392029},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6139264106750488},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.5456505417823792},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5295613408088684},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.49229633808135986},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4555957317352295},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.44146889448165894},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.44129347801208496},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.343576580286026},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3351134657859802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.329248309135437},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32583725452423096},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.18301540613174438},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09881716966629028},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09482431411743164},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08284461498260498},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3445791","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3445791","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3445791","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"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 Mathematical Software","raw_type":"journal-article"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:32553","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/32553/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Transactions on Mathematical Software, 2021, Vol.47(3), pp.1-22 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1912.08516","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.08516","pdf_url":"https://arxiv.org/pdf/1912.08516","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:durham-repository.worktribe.com:1270191","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1270191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1145/3445791","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3445791","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3445791","source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"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 Mathematical Software","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6899999976158142}],"awards":[{"id":"https://openalex.org/G2448127308","display_name":"UK Fluids Network","funder_award_id":"EP/N032861/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2777053550","display_name":null,"funder_award_id":"AC02-06CH11357","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2806986637","display_name":null,"funder_award_id":"EP/N032861/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3708552165","display_name":"Gen X: ExCALIBUR working group on Exascale continuum mechanics through code generation.","funder_award_id":"EP/V001493/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3957501995","display_name":null,"funder_award_id":"EP/R029423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4100200864","display_name":null,"funder_award_id":"EP/R029423/1, EP/V001493/1, and EP/L015803/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4162891482","display_name":null,"funder_award_id":"R029423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5904151224","display_name":null,"funder_award_id":"DE-AC02-06CH11357","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G667190850","display_name":"EPSRC Centre for Doctoral Training in Industrially Focused Mathematical Modelling","funder_award_id":"EP/L015803/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6848031779","display_name":null,"funder_award_id":"06CH11357","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7261987490","display_name":null,"funder_award_id":"EP/N032861","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7295259756","display_name":"PRISM: Platform for Research In Simulation Methods","funder_award_id":"EP/R029423/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995403156.pdf","grobid_xml":"https://content.openalex.org/works/W2995403156.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W22526763","https://openalex.org/W203115219","https://openalex.org/W1487997876","https://openalex.org/W1496383623","https://openalex.org/W1523714122","https://openalex.org/W1542243431","https://openalex.org/W1548589512","https://openalex.org/W1780245888","https://openalex.org/W1940144584","https://openalex.org/W1971920652","https://openalex.org/W1975113089","https://openalex.org/W1980053021","https://openalex.org/W1984334096","https://openalex.org/W1984827842","https://openalex.org/W1988719701","https://openalex.org/W2017085690","https://openalex.org/W2022916138","https://openalex.org/W2027733726","https://openalex.org/W2033986961","https://openalex.org/W2044888811","https://openalex.org/W2053295724","https://openalex.org/W2054034220","https://openalex.org/W2055953382","https://openalex.org/W2075896209","https://openalex.org/W2080474884","https://openalex.org/W2082187902","https://openalex.org/W2102295719","https://openalex.org/W2104126767","https://openalex.org/W2114821041","https://openalex.org/W2120494006","https://openalex.org/W2123450461","https://openalex.org/W2123457528","https://openalex.org/W2128095813","https://openalex.org/W2130756427","https://openalex.org/W2133248904","https://openalex.org/W2138486270","https://openalex.org/W2139155801","https://openalex.org/W2159737710","https://openalex.org/W2168522485","https://openalex.org/W2171622994","https://openalex.org/W2486762503","https://openalex.org/W2542358525","https://openalex.org/W2575032816","https://openalex.org/W2620258316","https://openalex.org/W2767526721","https://openalex.org/W2895332762","https://openalex.org/W2953067464","https://openalex.org/W2995403156","https://openalex.org/W3016321673","https://openalex.org/W3089043376","https://openalex.org/W3102441626","https://openalex.org/W3102568135","https://openalex.org/W3104566386","https://openalex.org/W3134579658","https://openalex.org/W4232090350","https://openalex.org/W4285719527","https://openalex.org/W6950239574"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2625595466","https://openalex.org/W2573021234","https://openalex.org/W2106610492","https://openalex.org/W2807855971"],"abstract_inverted_index":{"Effective":[0],"relaxation":[1,54],"methods":[2],"are":[3,16,23,58],"necessary":[4],"for":[5,45,52,119,127],"good":[6],"multigrid":[7,53],"convergence.":[8],"For":[9],"many":[10],"equations,":[11],"standard":[12],"Jacobi":[13],"and":[14,18,73,97],"Gau\u00df\u2013Seidel":[15],"inadequate,":[17],"more":[19],"sophisticated":[20],"space":[21,50],"decompositions":[22,51,57],"required;":[24],"examples":[25],"include":[26],"problems":[27],"with":[28],"semidefinite":[29],"terms":[30],"or":[31,71],"saddle":[32],"point":[33],"structure.":[34],"In":[35,115],"this":[36,117],"article,":[37],"we":[38],"present":[39],"a":[40,65,75,103],"unifying":[41],"software":[42,92],"abstraction,":[43],"PCPATCH,":[44],"the":[46,86,99,120],"topological":[47,62],"construction":[48,76],"of":[49,83,102,106,124],"methods.":[55],"Space":[56],"specified":[59],"by":[60,109],"collecting":[61],"entities":[63],"in":[64,85,95],"mesh":[66],"(such":[67,78],"as":[68,79],"all":[69,81],"vertices":[70],"faces)":[72],"applying":[74],"rule":[77],"taking":[80],"degrees":[82],"freedom":[84],"cells":[87],"around":[88],"each":[89],"entity).":[90],"The":[91],"is":[93],"implemented":[94],"PETSc":[96],"facilitates":[98],"elegant":[100],"expression":[101],"wide":[104],"range":[105],"schemes":[107],"merely":[108],"varying":[110],"solver":[111],"options":[112],"at":[113],"runtime.":[114],"turn,":[116],"allows":[118],"very":[121],"rapid":[122],"development":[123],"fast":[125],"solvers":[126],"difficult":[128],"problems.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":8}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2019-12-26T00:00:00"}