Some Analytic Techniques for Parametrized Nonlinear Equations and Their Discretizations.

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)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA116410

Entities

People

  • James P. Fink
  • Werner Rheinboldt

Organizations

  • University of Pittsburgh

Tags

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Boundary Value Problems
  • Contracts
  • Equations
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Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)