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oai:www.ideals.illinois.edu:2142/30905 2023-07-10 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

West, Matthew Ashraf, Chowdhury 2012-05-22T00:14:22Z 2012-05-22T00:14:22Z 2012-05 2012-05-22T00:14:22Z 2012-05 This study develops a group of new leap selecting procedures and accep- tance criteria for use with the tau leaping method for stochastically simulat- ing the particle coalescence problem. Existing work provides leap selection procedures for pre-leap methods and leap acceptance criteria for post-leap methods. These existing methods have been primarily designed for stochas- tic chemical reaction problems and are not necessarily well-suited for the increased number of possible events present in coagulation and coalescence simulations. In this work, simple and computationally efficient conditions are developed that perform well for coagulation problems, both for pre-leap selection and post-leap acceptance testing for tau leaping simulation. The- oretical background for these conditions is provided and their performance is investigated numerically. A comparative study is provided of error and computational cost using the pre-existing and newly developed conditions for both pre-leap and post-leap tau selection. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-20T15:45:02Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Ashraf_Chowdhury.pdf: 557695 bytes, checksum: ad4c62589aad82480fa27c439dbeb62d (MD5) Made available in DSpace on 2012-05-22T00:14:22Z (GMT). No. of bitstreams: 2 Ashraf_Chowdhury.pdf: 557695 bytes, checksum: ad4c62589aad82480fa27c439dbeb62d (MD5) license.txt: 4066 bytes, checksum: a126776da50cbc97006b51ae976dbd92 (MD5) http://hdl.handle.net/2142/30905 en Copyright 2012 Chowdhury Mahbub Ashraf Stochastic particle coalescence adaptive tau leaping leap selecting procedure leap acceptance criteria Adaptive step-size selection for tau-leaping simulation of stochastic particle coalescence text Mechanical Sci & Engineering 1917 Mechanical Engineering 0133 University of Illinois at Urbana-Champaign Thesis M.S. MS:Mechanical Engineerng -UIUC 10KS0133MS