Accession Number : AD0603291

Title :   MILDLY NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS AND THEIR NUMERICAL SOLUTION. II,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Greenspan,Donald ; Parter,Seymour V.

Report Date : MAY 1964

Pagination or Media Count : 43

Abstract : High speed digital computer methods are studied for obtaining solutions of difference equation analogues of mildly nonlinear elliptic boundary value problems. The problem is formulated in terms of finding a vector X which satisfies AX = - f(X) + Y, where A is an irreducible M matrix, Y is a given vector, and f is a given function. Two general iteration techniques and related convergence theorems are explored. The methods and ideas also extend to a large class of ordinary differential equation boundary value problems. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), (*NUMERICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS), (*DIFFERENCE EQUATIONS, BOUNDARY VALUE PROBLEMS), ITERATIONS, NONLINEAR DIFFERENTIAL EQUATIONS, PROGRAMMING (COMPUTERS), ALGEBRA, MATRICES(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE