Accession Number:

AD0787734

Title:

Computable A Posteriori (L sub infinity) Error Bounds for the Approximate Solution of Two Point Boundary Value Problems.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1974-08-01

Pagination or Media Count:

47.0

Abstract:

In this paper the authors use the general theory of Newtons method for operator equations with functional constraints recently developed by Tapia and the Kantorovich theorem to construct C sup 1 approximations to the solution and its derivative of the nonlinear two point boundary value problem and computable L sub infinity error bounds for both approximations. Several numerical examples for both boundary value and initial value problems are included. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE