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. |
Page generated in 0.0058 seconds