Global stability condition for collocation methods for Volterra integral equations of the second kind

M. R. Crisci; Zdzislaw Jackiewicz; E. Russo; A. Vecchio

doi:10.1216/JIE-1989-2-1-49

Global stability condition for collocation methods for Volterra integral equations of the second kind

M. R. Crisci
, Zdzislaw Jackiewicz
, E. Russo
, A. Vecchio

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The solution of the Volterra integral equation with degenerate kernel (Fomula Presented) is bounded provided that g and (Formula Presented) are bounded, and b_j,j = 1, 2, . ., n are absolutely integrable. It is shown that under the same hypotheses this property is inherited by the numerical solution resulting from applying exact collocation methods to this equation.

Original language	English (US)
Pages (from-to)	49-58
Number of pages	10
Journal	Journal of Integral Equations and Applications
Volume	2
Issue number	1
DOIs	https://doi.org/10.1216/JIE-1989-2-1-49
State	Published - 1989

ASJC Scopus subject areas

Numerical Analysis
Applied Mathematics

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10.1216/JIE-1989-2-1-49

Cite this

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title = "Global stability condition for collocation methods for Volterra integral equations of the second kind",

abstract = "The solution of the Volterra integral equation with degenerate kernel (Fomula Presented) is bounded provided that g and (Formula Presented) are bounded, and bj,j = 1, 2, . ., n are absolutely integrable. It is shown that under the same hypotheses this property is inherited by the numerical solution resulting from applying exact collocation methods to this equation.",

author = "Crisci, \{M. R.\} and Zdzislaw Jackiewicz and E. Russo and A. Vecchio",

year = "1989",

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AU - Crisci, M. R.

AU - Jackiewicz, Zdzislaw

AU - Russo, E.

AU - Vecchio, A.

PY - 1989

Y1 - 1989

N2 - The solution of the Volterra integral equation with degenerate kernel (Fomula Presented) is bounded provided that g and (Formula Presented) are bounded, and bj,j = 1, 2, . ., n are absolutely integrable. It is shown that under the same hypotheses this property is inherited by the numerical solution resulting from applying exact collocation methods to this equation.

AB - The solution of the Volterra integral equation with degenerate kernel (Fomula Presented) is bounded provided that g and (Formula Presented) are bounded, and bj,j = 1, 2, . ., n are absolutely integrable. It is shown that under the same hypotheses this property is inherited by the numerical solution resulting from applying exact collocation methods to this equation.

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DO - 10.1216/JIE-1989-2-1-49

M3 - Article

SN - 0897-3962

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JO - Journal of Integral Equations and Applications

JF - Journal of Integral Equations and Applications

IS - 1

ER -

Global stability condition for collocation methods for Volterra integral equations of the second kind

Abstract

ASJC Scopus subject areas

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