On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations

Hui Liang; Hermann Brunner

doi:10.1007/s10543-016-0609-x

On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations

Hui Liang^*
, Hermann Brunner

^*Corresponding author for this work

Heilongjiang University
Hong Kong Baptist University
Memorial University of Newfoundland

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

24 Scopus citations

Abstract

This paper fills an important gap in the convergence analysis of collocation solutions in spaces of continuous piecewise polynomials for Volterra integral equations of the second kind. Our analysis is then extended to Volterra functional integral equations of the second kind with constant delays.

Original language	English
Pages (from-to)	1339-1367
Number of pages	29
Journal	BIT Numerical Mathematics
Volume	56
Issue number	4
DOIs	https://doi.org/10.1007/s10543-016-0609-x
State	Published - 1 Dec 2016
Externally published	Yes

Keywords

Collocation solutions
Continuous piecewise polynomials
Convergence
Volterra functional integral equations with constant delays
Volterra integral equations

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10.1007/s10543-016-0609-x

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title = "On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations",

abstract = "This paper fills an important gap in the convergence analysis of collocation solutions in spaces of continuous piecewise polynomials for Volterra integral equations of the second kind. Our analysis is then extended to Volterra functional integral equations of the second kind with constant delays.",

keywords = "Collocation solutions, Continuous piecewise polynomials, Convergence, Volterra functional integral equations with constant delays, Volterra integral equations",

author = "Hui Liang and Hermann Brunner",

note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media Dordrecht.",

year = "2016",

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doi = "10.1007/s10543-016-0609-x",

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T1 - On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations

AU - Liang, Hui

AU - Brunner, Hermann

PY - 2016/12/1

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N2 - This paper fills an important gap in the convergence analysis of collocation solutions in spaces of continuous piecewise polynomials for Volterra integral equations of the second kind. Our analysis is then extended to Volterra functional integral equations of the second kind with constant delays.

AB - This paper fills an important gap in the convergence analysis of collocation solutions in spaces of continuous piecewise polynomials for Volterra integral equations of the second kind. Our analysis is then extended to Volterra functional integral equations of the second kind with constant delays.

KW - Collocation solutions

KW - Continuous piecewise polynomials

KW - Convergence

KW - Volterra functional integral equations with constant delays

KW - Volterra integral equations

UR - https://www.scopus.com/pages/publications/84957955956

U2 - 10.1007/s10543-016-0609-x

DO - 10.1007/s10543-016-0609-x

M3 - 文章

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SN - 0006-3835

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EP - 1367

JO - BIT Numerical Mathematics

JF - BIT Numerical Mathematics

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ER -

On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations

Abstract

Keywords

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