{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T19:21:45Z","timestamp":1772738505216,"version":"3.50.1"},"reference-count":40,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/L015803\/1"],"award-info":[{"award-number":["EP\/L015803\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/P020720\/1"],"award-info":[{"award-number":["EP\/P020720\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000769","name":"University of Oxford","doi-asserted-by":"publisher","award":["EP\/L015803\/1"],"award-info":[{"award-number":["EP\/L015803\/1"]}],"id":[{"id":"10.13039\/501100000769","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Arm"},{"name":"NAG"},{"name":"Hong Kong Innovation and Technology Commission"},{"DOI":"10.13039\/100010351","name":"Mansfield College, University of Oxford","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100010351","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2024,8,31]]},"DOI":"10.1137\/23m1552814","type":"journal-article","created":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T08:03:21Z","timestamp":1721117001000},"page":"B502-B526","source":"Crossref","is-referenced-by-count":2,"title":["Rounding Error Using Low Precision Approximate Random Variables"],"prefix":"10.1137","volume":"46","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5445-3721","authenticated-orcid":true,"given":"Michael B.","family":"Giles","sequence":"first","affiliation":[{"name":"Mathematical Institute, Oxford University, Oxford OX1 2JD, UK."}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1088-7138","authenticated-orcid":true,"given":"Oliver","family":"Sheridan-Methven","sequence":"additional","affiliation":[{"name":"Mathematical Institute, Oxford University, Oxford OX1 2JD, UK."}]}],"member":"351","published-online":{"date-parts":[[2024,7,16]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1081\/SAP-120019286"},{"key":"ref3","volume-title":"Concepts in Thermal Physics","author":"Blundell S. J.","year":"2013","edition":"2"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177706645"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2018.2855729"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drac012"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01397083"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.2307\/3318650"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1145\/1236463.1236468"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1070.0496"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1017\/S096249291500001X"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2019.01.002"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/21M1399385"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1145\/3604935"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-21617-1"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1145\/103162.103163"},{"key":"ref20","volume-title":"GNU MP: The GNU Multiple Precision Arithmetic Library","author":"Granlund T.","year":"2012"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/0914050"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718027"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/18M1226312"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1145\/365170.365212"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1137\/19M1270434"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1145\/363707.363723"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-005-0139-x"},{"key":"ref32","series-title":"Stoch. Model. Appl. Probab. 23","volume-title":"Numerical Solution of Stochastic Differential Equations","author":"Kloeden P. E.","year":"1999"},{"key":"ref33","volume-title":"The Art of Computer Programming: Seminumerical Algorithms","volume":"2","author":"Knuth D. E.","year":"2019","edition":"3"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1145\/362384.362498"},{"key":"ref36","series-title":"Appl. Math. 19","volume-title":"Difference Methods and their Extrapolations","author":"Marchuk G. I.","year":"2012"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/1006063"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.18637\/jss.v005.i08"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/BF01975722"},{"key":"ref40","volume":"471","author":"M\u00fcller E. H.","year":"2015","journal-title":"Proc. R. Soc. Lond. A Math. Phys. Eng. Sci."},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19740540106"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1137\/030601818"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-15407-7_9"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.3150\/08-BEJ170"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719574"},{"key":"ref54","volume-title":"Validated Numerics: A Short Introduction to Rigorous Computations","author":"Tucker W.","year":"2011"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1145\/321075.321076"},{"key":"ref57","first-page":"354","volume":"10","author":"Wilkinson J. H.","year":"1974","journal-title":"IMA Bull."},{"key":"ref58","first-page":"192","volume":"22","author":"Wilkinson J. H.","year":"1986","journal-title":"IMA Bull."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T08:03:36Z","timestamp":1721117016000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1552814"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,16]]},"references-count":40,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,8,31]]}},"alternative-id":["10.1137\/23M1552814"],"URL":"https:\/\/doi.org\/10.1137\/23m1552814","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,7,16]]}}}