2026-09-19T09:04:49Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/42127 2023-07-11 col_2142_5131 col_2142_10761 com_2142_5130 com_2142_10755 com_2142_234

Restriction data tranferred 2014-07-01T11:11:50-05:00 Original Data Group with Access UIUC Users [automated] Release Date: 2015-02-03 13:18:53 UTC Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system U of I Only Restriction Lifted for Item 42074 on 2015-02-03T11:00:27Z. http://hdl.handle.net/2142/42127 en Copyright 2012 Matthew D. Michelotti stochastic Markov process coalescence atmospheric aerosol stochastic simulation algorithm tau leaping particle resolved Binning for efficient stochastic particle simulations text Heath, Michael T. West, Matthew Michelotti, Matthew 2013-02-03T19:16:34Z 2013-02-03T19:16:34Z 2015-02-03T11:00:27Z 2012-12 2013-02-03T19:16:34Z 2012-12 Gillespie's Stochastic Simulation Algorithm (SSA) is an exact procedure for simulating the evolution of a collection of discrete, interacting entities, such as coalescing aerosol particles or reacting chemical species. The high computational cost of SSA has motivated the development of more efficient variants, such as Tau-Leaping, which sacrifices the exactness of SSA. For models whose interacting entities can be characterized by a continuous parameter, such as a measure of size for aerosol particles, we analyze strategies for accelerating these algorithms by aggregating particles of similar size into bins. We show that for such models an appropriate binning strategy can dramatically enhance efficiency, and in particular can make SSA computationally competitive without sacrificing exactness. We formulate binned versions of both the SSA and Tau-Leaping algorithms and analyze and demonstrate their performance. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-11-26T16:09:07Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Michelotti_Matthew.pdf: 546732 bytes, checksum: 20faf33d2551d1448d21dcfaa6e94d1c (MD5) Made available in DSpace on 2013-02-03T19:16:34Z (GMT). No. of bitstreams: 2 Matthew_Michelotti.pdf: 546732 bytes, checksum: 20faf33d2551d1448d21dcfaa6e94d1c (MD5) license.txt: 4068 bytes, checksum: 18445f7021c0768ea3cd41b6664be7bd (MD5) Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Seth Robbins (srobbins@illinois.edu) on 2013-02-03T19:18:56Z Item is restricted until 2015-02-03T19:18:53Z 0112 Computer Science 1434 Computer Science University of Illinois at Urbana-Champaign Thesis M.S. PHD:Computer Science -UIUC 10KS0112PHD