{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:07:28Z","timestamp":1740139648785,"version":"3.37.3"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"crossref","award":["DE-AC04-94AL85000"],"award-info":[{"award-number":["DE-AC04-94AL85000"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"crossref","award":["FWP-09-014290"],"award-info":[{"award-number":["FWP-09-014290"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper investigates the exit-time for a broad class of symmetric finite-range jump processes via the corresponding master equation, a nonlocal diffusion equation suitably constrained. In direct analogy to the classical diffusion equation with a homogeneous Dirichlet boundary condition, the nonlocal diffusion equation is augmented with a homogeneous volume-constraint. The volume-constrained master equation provides an efficient alternative over Monte Carlo simulation for computing an important statistic of the process. Several numerical examples are given.<\/jats:p>","DOI":"10.1515\/mcma-2014-0015","type":"journal-article","created":{"date-parts":[[2015,4,14]],"date-time":"2015-04-14T17:01:04Z","timestamp":1429030864000},"page":"139-152","source":"Crossref","is-referenced-by-count":2,"title":["Computing the exit-time for a finite-range symmetric jump process"],"prefix":"10.1515","volume":"21","author":[{"given":"Nathanial","family":"Burch","sequence":"first","affiliation":[{"name":"Department of Mathematics, Gonzaga University, 502 E. Boone Ave. MSC 2615, Spokane, WA 99258, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R. B.","family":"Lehoucq","sequence":"additional","affiliation":[{"name":"Sandia National Laboratories, P.O. Box 5800, MS 1320, Albuquerque, NM 87185\u20131320, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,4,14]]},"container-title":["Monte Carlo Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0015\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0015\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T19:45:37Z","timestamp":1680378337000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0015\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,14]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,5,7]]},"published-print":{"date-parts":[[2015,6,1]]}},"alternative-id":["10.1515\/mcma-2014-0015"],"URL":"https:\/\/doi.org\/10.1515\/mcma-2014-0015","relation":{},"ISSN":["0929-9629","1569-3961"],"issn-type":[{"type":"print","value":"0929-9629"},{"type":"electronic","value":"1569-3961"}],"subject":[],"published":{"date-parts":[[2015,4,14]]}}}