Citation
Arnoff, E. Leonard (1952) Partial Differential and Difference Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PS1G-NW89. https://resolver.caltech.edu/CaltechTHESIS:08152017-155652718
Abstract
In this thesis, general conditions on the coefficients of difference equations are obtained which insure the convergence of solutions of these difference equations to the solutions of the corresponding partial differential equations. A general method which is applicable to a wide variety of partial differential equations is presented here. However, in order to simplify the presentation of this method and to leave out calculations which are not essential to the description of the method, the discussion is centered about the partial differential equations
əu/əy = c əu/əx and ə2u/əx2 = ə2u/əy2.
The treatment of these simpler problems then serves to indicate the method for more general problems.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
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| Subject Keywords: | (Mathematics and Physics) |
| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Mathematics |
| Minor Option: | Physics |
| Thesis Availability: | Public (worldwide access) |
| Research Advisor(s): |
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| Thesis Committee: |
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| Defense Date: | 1 January 1952 |
| Record Number: | CaltechTHESIS:08152017-155652718 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:08152017-155652718 |
| DOI: | 10.7907/PS1G-NW89 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 10378 |
| Collection: | CaltechTHESIS |
| Deposited By: | Benjamin Perez |
| Deposited On: | 21 Aug 2017 23:22 |
| Last Modified: | 10 May 2023 22:27 |
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