2026-09-18T19:34:21Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/86814 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003. http://hdl.handle.net/2142/86814 Embargo set by: Seth Robbins for item 88095 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only Jerrard, Robert L. Song, Minsu 2015-09-28T15:19:40Z 2015-09-28T15:19:40Z 10000-01-01 2003 2003 We present an axiomatic approach to certain geometric evolution problems and associated level set PDEs. We also study threshold dynamics on Rn and cellular automata on certain lattices which satisfy monotonicity, translation invariance and finite propagation speed. We develop the general schemes for the convergence of threshold dynamics and cellular automata to geometric evolutions governed by a velocity function depending on the normal direction alone. Made available in DSpace on 2015-09-28T15:19:40Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3086183.pdf: 2095882 bytes, checksum: 2d84f67c211b09e2c6a695c669b79ec7 (MD5) Previous issue date: 2003 56 p. (MiAaPQ)AAI3086183 eng Mathematics Interface Dynamics text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.