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In this paper, we introduce two methodologies for computing the value function of optimal stopping associated with general stochastic processes. Our results are implemented utilizing finite elements and are validated using problems taken from financial mathematics.<\/jats:p>","DOI":"10.1137\/s1064827599364647","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"1865-1884","source":"Crossref","is-referenced-by-count":24,"title":["On the Approximation of Optimal Stopping Problems with Application to Financial Mathematics"],"prefix":"10.1137","volume":"22","author":[{"given":"Michael D.","family":"Marcozzi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1093\/rfs\/8.1.193"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0261-5606(91)90013-A"},{"key":"R3","unstructured":"K. I. Amin and R. A. 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