Enclosing Solutions of Integral Equations

Kaj Madsen; Ole NA NA NA Caprani; Ole Stauning

Enclosing Solutions of Integral Equations

Kaj Madsen
, Ole NA NA NA Caprani
, Ole Stauning

Research output: Book/Report › Report › Research › peer-review

Abstract

We present a method for enclosing the solution of an integral equation. It is assumed that a solution exists and that the corresponding integral operator T is a contraction near y. When solving the integral equation by iteration we obtain a result which is normally different from y because of roundoff errors, truncation errors, and the fact that we only do a finite number of iterations. The purpose of this method is to find a narrow interval of functions that is guaranteed to contain y.

Original language	English

Number of pages	19
Publication status	Published - 1996

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JEM-X: The JEM-X X-ray monitor on INTEGRAL
Brandt, S. (PI), Chenevez, J. (Project Participant), Westergaard, N. J. S. (Project Participant), Oxborrow, C. A. (Project Participant), Budtz-Jørgensen, C. (Project Participant), Lund, N. (Project Participant), Rasmussen, I. L. (Project Participant) & Villa, G. P. (Project Participant)
17/10/2002 → …
Project: Research

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title = "Enclosing Solutions of Integral Equations",

abstract = "We present a method for enclosing the solution of an integral equation. It is assumed that a solution exists and that the corresponding integral operator T is a contraction near y. When solving the integral equation by iteration we obtain a result which is normally different from y because of roundoff errors, truncation errors, and the fact that we only do a finite number of iterations. The purpose of this method is to find a narrow interval of functions that is guaranteed to contain y.",

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year = "1996",

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TY - RPRT

T1 - Enclosing Solutions of Integral Equations

AU - Madsen, Kaj

AU - NA NA NA Caprani, Ole

AU - Stauning, Ole

PY - 1996

Y1 - 1996

N2 - We present a method for enclosing the solution of an integral equation. It is assumed that a solution exists and that the corresponding integral operator T is a contraction near y. When solving the integral equation by iteration we obtain a result which is normally different from y because of roundoff errors, truncation errors, and the fact that we only do a finite number of iterations. The purpose of this method is to find a narrow interval of functions that is guaranteed to contain y.

AB - We present a method for enclosing the solution of an integral equation. It is assumed that a solution exists and that the corresponding integral operator T is a contraction near y. When solving the integral equation by iteration we obtain a result which is normally different from y because of roundoff errors, truncation errors, and the fact that we only do a finite number of iterations. The purpose of this method is to find a narrow interval of functions that is guaranteed to contain y.

M3 - Report

BT - Enclosing Solutions of Integral Equations

ER -

Enclosing Solutions of Integral Equations

Abstract

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JEM-X: The JEM-X X-ray monitor on INTEGRAL

Cite this