The investigation is initially a continuation of Neuberger's work on linear boundary value problems. A very general iterative procedure for solution of these problems is described. The alternating-projection theorem of von Neumann is the mathematical starting point for this study. Later theorems demonstrate the validity of numerical approximation for Neuberger's method under certain conditions. A sampling of differential equations within the scope of our iterative method is given. The numerical evidence is that the procedure works well on neutral-state equations, for which no software is written now.
Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc331188 |
Date | 08 1900 |
Creators | Walsh, John Breslin |
Contributors | Neuberger, John W., Bilyeu, Russell Gene, Kallman, Robert R., Appling, William D. L. |
Publisher | North Texas State University |
Source Sets | University of North Texas |
Language | English |
Detected Language | English |
Type | Thesis or Dissertation |
Format | 42 leaves, Text |
Rights | Public, Walsh, John Breslin, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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