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Partial Differential and Difference Equations


Arnoff, E. Leonard (1952) Partial Differential and Difference Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PS1G-NW89.


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 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):
  • Bohnenblust, Henri Frederic
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1952
Record Number:CaltechTHESIS:08152017-155652718
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10378
Deposited By: Benjamin Perez
Deposited On:21 Aug 2017 23:22
Last Modified:10 May 2023 22:27

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