Accession Number : ADA116410

Title :   Some Analytic Techniques for Parametrized Nonlinear Equations and Their Discretizations.

Descriptive Note : Technical rept.,

Corporate Author : PITTSBURGH UNIV PA INST FOR COMPUTATIONAL MATHEMATICS AND APPLICATIONS

Personal Author(s) : Fink,James P ; Rheinboldt,Werner C

PDF Url : ADA116410

Report Date : Jun 1982

Pagination or Media Count : 17

Abstract : This paper presents general techniques based on the theory of Fredholm operators for analyzing the solutions of parametrized nonlinear equations and their finite-dimensional approximations. In particular, it is shown how to obtain the existence of solution paths, both for a general class of nonlinear equations and for their discretizations, and to develop error estimates. Finally it is also shown that the results include existing results for mildly nonlinear problems. (Author)

Descriptors :   *Nonlinear differential equations, *Parametric analysis, *Approximation(Mathematics), *Finite element analysis, *Sizes(Dimensions), Operators(Mathematics), Solutions(General), Paths, Errors, Estimates, Nonlinear analysis

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE