{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:39:00Z","timestamp":1740123540462,"version":"3.37.3"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2021,1,4]],"date-time":"2021-01-04T00:00:00Z","timestamp":1609718400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,4]],"date-time":"2021-01-04T00:00:00Z","timestamp":1609718400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["19-11-00019"],"award-info":[{"award-number":["19-11-00019"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"published-print":{"date-parts":[[2021,7]]},"DOI":"10.1007\/s11227-020-03529-y","type":"journal-article","created":{"date-parts":[[2021,1,4]],"date-time":"2021-01-04T13:03:36Z","timestamp":1609765416000},"page":"6889-6903","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Parallel simulation of drift\u2013diffusion\u2013recombination by cellular automata and global random walk algorithm"],"prefix":"10.1007","volume":"77","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8542-2496","authenticated-orcid":false,"given":"Anastasiya","family":"Kireeva","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3698-7540","authenticated-orcid":false,"given":"Karl K.","family":"Sabelfeld","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2217-8777","authenticated-orcid":false,"given":"Sergey","family":"Kireev","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,1,4]]},"reference":[{"key":"3529_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-03620-4","volume-title":"Stochastic differential equations","author":"B Oksendal","year":"1998","unstructured":"Oksendal B (1998) Stochastic differential equations. Springer, Berlin"},{"key":"3529_CR2","volume-title":"Monte Carlo methods in boundary value problems","author":"KK Sabelfeld","year":"1991","unstructured":"Sabelfeld KK (1991) Monte Carlo methods in boundary value problems. Springer, Berlin"},{"key":"3529_CR3","doi-asserted-by":"crossref","unstructured":"Sabelfeld KK, Simonov NA (2016) Stochastic methods for boundary value problems. In: Numerics for high-dimensional PDEs and applications. Walter de Gruyter, Berlin. https:\/\/www.degruyter.com\/view\/title\/521247","DOI":"10.1515\/9783110479454"},{"issue":"4","key":"3529_CR4","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1515\/mcma-2016-0118","volume":"22","author":"KK Sabelfeld","year":"2016","unstructured":"Sabelfeld KK (2016) Random walk on spheres method for solving drift\u2013diffusion problems. Monte Carlo Methods Appl. 22(4):265\u2013275. https:\/\/doi.org\/10.1515\/mcma-2016-0118","journal-title":"Monte Carlo Methods Appl."},{"issue":"1","key":"3529_CR5","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1515\/mcma-2019-2032","volume":"25","author":"KK Sabelfeld","year":"2019","unstructured":"Sabelfeld KK (2019) A global random walk on spheres algorithm for transient heat equation and some extensions. Monte Carlo Methods Appl. 25(1):85\u201396. https:\/\/doi.org\/10.1515\/mcma-2019-2032","journal-title":"Monte Carlo Methods Appl."},{"key":"3529_CR6","doi-asserted-by":"publisher","first-page":"106466(1\u20139)","DOI":"10.1016\/j.aml.2020.106466","volume":"107","author":"KK Sabelfeld","year":"2020","unstructured":"Sabelfeld KK, Kireeva A (2020) A new global random walk algorithm for calculation of the solution and its derivatives of elliptic equations with constant coefficients in an arbitrary set of points. Appl. Math. Lett. 107:106466(1\u20139). https:\/\/doi.org\/10.1016\/j.aml.2020.106466","journal-title":"Appl. Math. Lett."},{"key":"3529_CR7","doi-asserted-by":"publisher","unstructured":"Bandman O (2013) Implementation of large-scale cellular automata models on multi-core computers and cluster. In: High Performance Computing and Simulation (HPCS), 2013 International Conference. IEEE Conference Publications. Helsinki, pp 304 \u2013 310. https:\/\/doi.org\/10.1109\/HPCSim.2013.6641431","DOI":"10.1109\/HPCSim.2013.6641431"},{"key":"3529_CR8","first-page":"207","volume":"4","author":"JS Rosenthal","year":"2000","unstructured":"Rosenthal JS (2000) Parallel computing and Monte Carlo algorithms. Far East J Theor Stat 4:207\u2013236","journal-title":"Far East J Theor Stat"},{"issue":"2","key":"3529_CR9","doi-asserted-by":"publisher","first-page":"1560","DOI":"10.1103\/physreve.51.1560","volume":"51","author":"K Esselink","year":"1995","unstructured":"Esselink K, Loyens LDJC, Smit B (1995) Parallel Monte Carlo simulations. Phys Rev E 51(2):1560\u20131568. https:\/\/doi.org\/10.1103\/physreve.51.1560","journal-title":"Phys Rev E"},{"key":"3529_CR10","volume-title":"Simulating complex systems by cellular automata. Understanding complex systems","author":"AG Hoekstra","year":"2010","unstructured":"Hoekstra AG, Kroc J, Sloot PMA (2010) Simulating complex systems by cellular automata. Understanding complex systems. Springer, Berlin"},{"key":"3529_CR11","doi-asserted-by":"publisher","first-page":"204","DOI":"10.1007\/978-3-642-14822-4_23","volume-title":"MTPP 2010, LNCS 6083","author":"Yu Medvedev","year":"2010","unstructured":"Medvedev Yu (2010) Multi-particle cellular-automata models for diffusion simulation. In: Hsu CH, Malyshkin V (eds) MTPP 2010, LNCS 6083, vol 6083. Springer, Berlin, pp 204\u2013211. https:\/\/doi.org\/10.1007\/978-3-642-14822-4_23"},{"issue":"1\u20132","key":"3529_CR12","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/0167-2789(94)00093-X","volume":"78","author":"T Karapiperis","year":"1994","unstructured":"Karapiperis T, Blankleider B (1994) Cellular automation model of reaction-transport processes. Physica D 78(1\u20132):30\u201364. https:\/\/doi.org\/10.1016\/0167-2789(94)00093-X","journal-title":"Physica D"},{"issue":"2\u20133","key":"3529_CR13","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1016\/S0167-739X(99)00044-8","volume":"16","author":"T Worsch","year":"1999","unstructured":"Worsch T (1999) Simulation of cellular automata. Future Gener Comput Syst 16(2\u20133):157\u2013170. https:\/\/doi.org\/10.1016\/S0167-739X(99)00044-8","journal-title":"Future Gener Comput Syst"},{"key":"3529_CR14","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1007\/978-3-030-25636-4_27","volume-title":"PaCT-2019 Proceedings. LNCS","author":"A Kireeva","year":"2019","unstructured":"Kireeva A, Sabelfeld K, Kireev S (2019) Synchronous multi-particle cellular automaton model of diffusion with self-annihilation. PaCT-2019 Proceedings. LNCS, vol 11657. Springer, Berlin, pp 345\u2013359. https:\/\/doi.org\/10.1007\/978-3-030-25636-4_27"},{"key":"3529_CR15","first-page":"43","volume":"30","author":"Yu Medvedev","year":"2010","unstructured":"Medvedev Yu (2010) Automata noise in diffusion cellular-automata models. Bull Novosib Comput Center Comput Sci 30:43\u201352","journal-title":"Bull Novosib Comput Center Comput Sci"},{"key":"3529_CR16","volume-title":"Handbook of linear partial differential equations for engineers and scientists","author":"AD Polyanin","year":"2002","unstructured":"Polyanin AD (2002) Handbook of linear partial differential equations for engineers and scientists. Chapman and Hall\/CRC Press, Boca Raton"},{"key":"3529_CR17","unstructured":"MVS-10P cluster, JSCC RAS. http:\/\/www.jscc.ru. Accessed 17 Nov 2020"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-020-03529-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11227-020-03529-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-020-03529-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,21]],"date-time":"2021-06-21T10:37:38Z","timestamp":1624271858000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11227-020-03529-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,4]]},"references-count":17,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["3529"],"URL":"https:\/\/doi.org\/10.1007\/s11227-020-03529-y","relation":{},"ISSN":["0920-8542","1573-0484"],"issn-type":[{"type":"print","value":"0920-8542"},{"type":"electronic","value":"1573-0484"}],"subject":[],"published":{"date-parts":[[2021,1,4]]},"assertion":[{"value":"18 November 2020","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 January 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}