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Combined with proper estimation of the statistical error, they lead to efficient and accurate computation of global error estimates, extending the results by A. Szepessy, R. Tempone, and G. E. Zouraris [Comm. Pure Appl. Math., 54 (2001), pp. 1169\u20131214]. Adaptive algorithms for either deterministic or trajectory-dependent time stepping are proposed. Numerical examples show the performance of the proposed error approximations and the adaptive schemes.<\/jats:p>","DOI":"10.1137\/060669632","type":"journal-article","created":{"date-parts":[[2008,4,11]],"date-time":"2008-04-11T18:08:26Z","timestamp":1207937306000},"page":"1732-1768","source":"Crossref","is-referenced-by-count":30,"title":["Adaptive Weak Approximation of Diffusions with Jumps"],"prefix":"10.1137","volume":"46","author":[{"given":"E.","family":"Mordecki","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Szepessy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"R.","family":"Tempone","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G. 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