{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T10:20:41Z","timestamp":1758709241228,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":26,"publisher":"ACM","license":[{"start":{"date-parts":[[2020,6,29]],"date-time":"2020-06-29T00:00:00Z","timestamp":1593388800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/100014718","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1521748"],"award-info":[{"award-number":["DMS-1521748"]}],"id":[{"id":"10.13039\/100014718","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100014036","name":"Multidisciplinary University Research Initiative","doi-asserted-by":"publisher","award":["00001271"],"award-info":[{"award-number":["00001271"]}],"id":[{"id":"10.13039\/100014036","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010198","name":"Army Research Laboratory","doi-asserted-by":"publisher","award":["W911NF1220023"],"award-info":[{"award-number":["W911NF1220023"]}],"id":[{"id":"10.13039\/100010198","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2020,6,29]]},"DOI":"10.1145\/3392717.3392769","type":"proceedings-article","created":{"date-parts":[[2020,6,29]],"date-time":"2020-06-29T18:49:02Z","timestamp":1593456542000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["A scalable framework for solving fractional diffusion equations"],"prefix":"10.1145","author":[{"given":"Max","family":"Carlson","sequence":"first","affiliation":[{"name":"University of Utah"}]},{"given":"Robert M.","family":"Kirby","sequence":"additional","affiliation":[{"name":"University of Utah"}]},{"given":"Hari","family":"Sundar","sequence":"additional","affiliation":[{"name":"University of Utah"}]}],"member":"320","published-online":{"date-parts":[[2020,6,29]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479899358194"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/ISSPA.2007.4555563"},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"crossref","unstructured":"L. S. Blackford J. Choi A. Cleary E. D'Azevedo J. Demmel I. Dhillon J. Dongarra S. Hammarling G. Henry A. Petitet K. Stanley D. Walker and R. C. Whaley. 1997. ScaLAPACK Users' Guide. Society for Industrial and Applied Mathematics Philadelphia PA.  L. S. Blackford J. Choi A. Cleary E. D'Azevedo J. Demmel I. Dhillon J. Dongarra S. Hammarling G. Henry A. Petitet K. Stanley D. Walker and R. C. Whaley. 1997. ScaLAPACK Users' Guide. Society for Industrial and Applied Mathematics Philadelphia PA.","DOI":"10.1137\/1.9780898719642"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492910000012"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2015.02.008"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-019-44774-3"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0143938"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.21914\/anziamj.v54i0.6283"},{"key":"e_1_3_2_1_9_1","volume-title":"Bellido","author":"Evgrafov Anton","year":"2018","unstructured":"Anton Evgrafov and Jos\u00e9 C . Bellido . 2018 . From nonlocal Eringen's model to fractional elasticity. arXiv:1806.03906 [math.AP] Anton Evgrafov and Jos\u00e9 C. Bellido. 2018. From nonlocal Eringen's model to fractional elasticity. arXiv:1806.03906 [math.AP]"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2014.06.013"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"crossref","unstructured":"Bruce Ian Henry T. A. M. Langlands and Peter Straka. 2010. An Introduction to Fractional Diffusion.  Bruce Ian Henry T. A. M. Langlands and Peter Straka. 2010. An Introduction to Fractional Diffusion.","DOI":"10.1142\/9789814277327_0002"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/1089014.1089019"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1121\/1.3631626"},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"crossref","unstructured":"J. Kestyn V. Kalantzis E. Polizzi and Y. Saad. 2016. PFEAST: A High Performance Sparse Eigenvalue Solver Using Distributed-Memory Linear Solvers. In SC '16: Proceedings of the International Conference for High Performance Computing Networking Storage and Analysis. 178--189.  J. Kestyn V. Kalantzis E. Polizzi and Y. Saad. 2016. PFEAST: A High Performance Sparse Eigenvalue Solver Using Distributed-Memory Linear Solvers. In SC '16: Proceedings of the International Conference for High Performance Computing Networking Storage and Analysis. 178--189.","DOI":"10.1109\/SC.2016.15"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejbas.2014.10.003"},{"key":"e_1_3_2_1_16_1","volume-title":"Statistical, nonlinear, and soft matter physics 66 5 Pt 2","author":"Laskin Nick","year":"2002","unstructured":"Nick Laskin . 2002. Fractional Schr\u00f6dinger equation. Physical review. E , Statistical, nonlinear, and soft matter physics 66 5 Pt 2 ( 2002 ), 056108. Nick Laskin. 2002. Fractional Schr\u00f6dinger equation. Physical review. E, Statistical, nonlinear, and soft matter physics 66 5 Pt 2 (2002), 056108."},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"crossref","unstructured":"Sergei Levendorskii. 2004. PRICING OF THE AMERICAN PUT UNDER L\u00c9VY PROCESSES.  Sergei Levendorskii. 2004. PRICING OF THE AMERICAN PUT UNDER L\u00c9VY PROCESSES.","DOI":"10.1142\/S0219024904002463"},{"key":"e_1_3_2_1_18_1","unstructured":"Ruipeng Li Yuanzhe Xi Lucas Erlandson and Yousef Saad. 2018a. The Eigen-values Slicing Library (EVSL): Algorithms Implementation and Software. arXiv:1802.05215 [math.NA]  Ruipeng Li Yuanzhe Xi Lucas Erlandson and Yousef Saad. 2018a. The Eigen-values Slicing Library (EVSL): Algorithms Implementation and Software. arXiv:1802.05215 [math.NA]"},{"key":"e_1_3_2_1_19_1","unstructured":"Ruipeng Li Yuanzhe Xi Lucas Erlandson and Yousef Saad. 2018b. The Eigen-values Slicing Library (EVSL): Algorithms Implementation and Software. arXiv:1802.05215 [math.NA]  Ruipeng Li Yuanzhe Xi Lucas Erlandson and Yousef Saad. 2018b. The Eigen-values Slicing Library (EVSL): Algorithms Implementation and Software. arXiv:1802.05215 [math.NA]"},{"key":"e_1_3_2_1_20_1","unstructured":"Anna Lischke Guofei Pang Mamikon Gulian Fangying Song Christian Glusa Xiaoning Zheng Zhiping Mao Wei Cai Mark M. Meerschaert Mark Ainsworth and George Em Karniadakis. 2018. What Is the Fractional Laplacian? arXiv:1801.09767 [math.NA]  Anna Lischke Guofei Pang Mamikon Gulian Fangying Song Christian Glusa Xiaoning Zheng Zhiping Mao Wei Cai Mark M. Meerschaert Mark Ainsworth and George Em Karniadakis. 2018. What Is the Fractional Laplacian? arXiv:1801.09767 [math.NA]"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.08.039"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01261607"},{"key":"e_1_3_2_1_23_1","unstructured":"Edoardo Di Napoli Eric Polizzi and Yousef Saad. 2013. Efficient estimation of eigen-value counts in an interval. arXiv:1308.4275 [cs.NA]  Edoardo Di Napoli Eric Polizzi and Yousef Saad. 2013. Efficient estimation of eigen-value counts in an interval. arXiv:1308.4275 [cs.NA]"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.3389\/fphy.2019.00018"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1109\/HPEC.2018.8547580"},{"key":"e_1_3_2_1_26_1","volume-title":"Aifantis","author":"Tarasov Vasily E.","year":"2018","unstructured":"Vasily E. Tarasov and Elias C . Aifantis . 2018 . On Fractional and Fractal Formulations of Gradient Linear and Nonlinear Elasticity . arXiv:1808.04452 [physics.class-ph] Vasily E. Tarasov and Elias C. Aifantis. 2018. On Fractional and Fractal Formulations of Gradient Linear and Nonlinear Elasticity. arXiv:1808.04452 [physics.class-ph]"}],"event":{"name":"ICS '20: 2020 International Conference on Supercomputing","sponsor":["SIGARCH ACM Special Interest Group on Computer Architecture"],"location":"Barcelona Spain","acronym":"ICS '20"},"container-title":["Proceedings of the 34th ACM International Conference on Supercomputing"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3392717.3392769","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3392717.3392769","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3392717.3392769","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T22:41:15Z","timestamp":1750200075000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3392717.3392769"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,29]]},"references-count":26,"alternative-id":["10.1145\/3392717.3392769","10.1145\/3392717"],"URL":"https:\/\/doi.org\/10.1145\/3392717.3392769","relation":{},"subject":[],"published":{"date-parts":[[2020,6,29]]},"assertion":[{"value":"2020-06-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}