Accession Number : AD0258670

Title :   ON AN ANALOGUE OF THE EULER-CAUCHY POLYGON METHOD FOR THE PARTIAL DIFFERENTIAL EQUATION UXL...XN EQUALS F

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : GLUCK,IRVING

Report Date : 20 APR 1961

Pagination or Media Count : 92

Abstract : This paper gives constructive proofs of existence theorems for two cases of the partial differential equation u sub x1...sub xn equals f where f is a function of x sub 1,...,x sub n, u and the pure mixed partial derivatives of u up through order n-1. The method used is an analogue of the Euler-Cauchy polygon method and yields a numerically feasible procedure for constructing solutions. Two inequalities of independent interest are proved as lemmata for the existence proofs, and the properties of an interesting class of interpolatory functions are obtained. (Author)

Descriptors :   *NUMERICAL ANALYSIS, *PARTIAL DIFFERENTIAL EQUATIONS, ANALOG COMPUTERS, FUNCTIONS(MATHEMATICS), SEQUENCES(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE