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Partial Differential and Difference Equations

Citation

Arnoff, E. Leonard (1952) Partial Differential and Difference Equations. Dissertation (Ph.D.), California Institute of Technology. http://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.))
Subject Keywords:Mathematics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Bohnenblust, Henri Frederic
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1952
Record Number:CaltechTHESIS:08152017-155652718
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:08152017-155652718
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:21 Aug 2017 23:22

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