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Vaidya, Pravin M. Joshi, Anil 2015-09-25T20:20:47Z 2015-09-25T20:20:47Z 10000-01-01 1997 1997 In the second part of the thesis, we analyze the quality of a new graph-based preconditioner for large sparse Symmetric Positive Definite Diagonally Dominant (SPDDD) linear systems. These kinds of linear systems arise in the solution of scalar second order PDEs for Heat Transfer, Electrostatics, Electromagnetics, Ground Water Flow, and Diffusion (with or without reaction) when they are discretized using finite differences. They also arise in discrete problems like Network Flow Problems (Assignment, Maximum Flow, and Minimum Cost Flow), Large Resistive Networks, and Laminar Flow in Pipe Networks. Made available in DSpace on 2015-09-25T20:20:47Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9717289.pdf: 4156012 bytes, checksum: 9e8ef34927eeece6509b7891967203ec (MD5) Previous issue date: 1997 Embargo set by: Seth Robbins for item 83153 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 91 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997. http://hdl.handle.net/2142/81872 (MiAaPQ)AAI9717289 eng Physics, Electricity and Magnetism Topics in Optimization and Sparse Linear Systems text Computer Science Computer Science University of Illinois at Urbana-Champaign Dissertation Ph.D.