Upper and lower bounds for quadratic integrals, and at a point, for solutions of linear boundary value problems /

This paper is intended as an introduction to several methods for obtaining reliable, precise, numerically computable upper and lower bounds for a large class of problems of the general nature of those mentioned in the title. For definiteness, only certain specific boundary value problems will be considered in detail, although the same procedures can be easily seen to be applicable in more general situations.Prepared for Project Code(s): and/or No.(s): 17501."(To appear in the Proceedings of a Symposium on Boundary Problems in Differential Equations, conducted by the Mathematis Research Center of the United States Army at the University of Wisconsin, held in Madison, Wisconsin, April 20-22, 1959.).""June 1959."Includes bibliographical references (leaves 42-47).This paper is intended as an introduction to several methods for obtaining reliable, precise, numerically computable upper and lower bounds for a large class of problems of the general nature of those mentioned in the title. For definiteness, only certain specific boundary value problems will be considered in detail, although the same procedures can be easily seen to be applicable in more general situations.This research was supported in part by the United States Air Force through the Air Force Office of Scientific Research under Contract No.Mode of access: Internet