Two-step almost collocation methods for Volterra integral equations

D. Conte; Zdzislaw Jackiewicz; B. Paternoster

doi:10.1016/j.amc.2008.07.026

Two-step almost collocation methods for Volterra integral equations

D. Conte, Zdzislaw Jackiewicz, B. Paternoster

Mathematical and Statistical Sciences, School of (SoMSS)

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

50 Scopus citations

Abstract

In this paper we construct a new class of continuous methods for Volterra integral equations. These methods are obtained by using a collocation technique and by relaxing some of the collocation conditions in order to obtain good stability properties.

Original language	English (US)
Pages (from-to)	839-853
Number of pages	15
Journal	Applied Mathematics and Computation
Volume	204
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2008.07.026
State	Published - Oct 15 2008

Keywords

A-stability
Convergence
Order conditions
Stability analysis
Two-step collocation methods
Volterra integral equations

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2008.07.026

Cite this

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title = "Two-step almost collocation methods for Volterra integral equations",

abstract = "In this paper we construct a new class of continuous methods for Volterra integral equations. These methods are obtained by using a collocation technique and by relaxing some of the collocation conditions in order to obtain good stability properties.",

keywords = "A-stability, Convergence, Order conditions, Stability analysis, Two-step collocation methods, Volterra integral equations",

author = "D. Conte and Zdzislaw Jackiewicz and B. Paternoster",

year = "2008",

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T1 - Two-step almost collocation methods for Volterra integral equations

AU - Conte, D.

AU - Jackiewicz, Zdzislaw

AU - Paternoster, B.

PY - 2008/10/15

Y1 - 2008/10/15

N2 - In this paper we construct a new class of continuous methods for Volterra integral equations. These methods are obtained by using a collocation technique and by relaxing some of the collocation conditions in order to obtain good stability properties.

AB - In this paper we construct a new class of continuous methods for Volterra integral equations. These methods are obtained by using a collocation technique and by relaxing some of the collocation conditions in order to obtain good stability properties.

KW - A-stability

KW - Convergence

KW - Order conditions

KW - Stability analysis

KW - Two-step collocation methods

KW - Volterra integral equations

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M3 - Article

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EP - 853

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Two-step almost collocation methods for Volterra integral equations

Abstract

Keywords

ASJC Scopus subject areas

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