General linear methods for Volterra integral equations

G. Izzo; Zdzislaw Jackiewicz; E. Messina; A. Vecchio

doi:10.1016/j.cam.2010.01.023

General linear methods for Volterra integral equations

G. Izzo, Zdzislaw Jackiewicz, E. Messina, A. Vecchio

Mathematical and Statistical Sciences, School of (SoMSS)

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

18 Scopus citations

Abstract

We investigate the class of general linear methods of order p and stage order q=p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which have good stability properties with respect to the basic test equation and the convolution one are given.

Original language	English (US)
Pages (from-to)	2768-2782
Number of pages	15
Journal	Journal of Computational and Applied Mathematics
Volume	234
Issue number	9
DOIs	https://doi.org/10.1016/j.cam.2010.01.023
State	Published - Sep 1 2010

Keywords

Convolution test equation
General linear methods
Linear stability analysis
Order conditions
Volterra integral equations

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.cam.2010.01.023

Cite this

@article{ace04676ed414d8d8345a06f2c9d62d5,

title = "General linear methods for Volterra integral equations",

abstract = "We investigate the class of general linear methods of order p and stage order q=p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which have good stability properties with respect to the basic test equation and the convolution one are given.",

keywords = "Convolution test equation, General linear methods, Linear stability analysis, Order conditions, Volterra integral equations",

author = "G. Izzo and Zdzislaw Jackiewicz and E. Messina and A. Vecchio",

year = "2010",

month = sep,

day = "1",

doi = "10.1016/j.cam.2010.01.023",

language = "English (US)",

volume = "234",

pages = "2768--2782",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

number = "9",

}

TY - JOUR

T1 - General linear methods for Volterra integral equations

AU - Izzo, G.

AU - Jackiewicz, Zdzislaw

AU - Messina, E.

AU - Vecchio, A.

PY - 2010/9/1

Y1 - 2010/9/1

N2 - We investigate the class of general linear methods of order p and stage order q=p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which have good stability properties with respect to the basic test equation and the convolution one are given.

AB - We investigate the class of general linear methods of order p and stage order q=p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples of methods of order one and two which have good stability properties with respect to the basic test equation and the convolution one are given.

KW - Convolution test equation

KW - General linear methods

KW - Linear stability analysis

KW - Order conditions

KW - Volterra integral equations

UR - http://www.scopus.com/inward/record.url?scp=77955278435&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955278435&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2010.01.023

DO - 10.1016/j.cam.2010.01.023

M3 - Article

AN - SCOPUS:77955278435

SN - 0377-0427

VL - 234

SP - 2768

EP - 2782

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 9

ER -

General linear methods for Volterra integral equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this