Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation

Magda Stela de Jesus Rebelo

Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation

Magda Stela de Jesus Rebelo

DM - Departamento de Matemática

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this work we consider a nonlinear Volterra integral equation with weakly singular kernel. An asymptotic error expansion for the explicit Euler's method is obtained and this allows the use of certain extrapolation procedures. The performance of the extrapolation method is illustrated by several numerical examples.

Original language	Unknown
Title of host publication	AIP Conference Proceedings
Editors	T Simos, G Psihoyios, C Tsitouras
Place of Publication	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Publisher	AMER INST PHYSICS
Pages	1175-1178
Volume	1281
ISBN (Print)	978-0-7354-0834-0
Publication status	Published - 1 Jan 2010
Event	International Conference on Numerical Analysis and Applied Mathematics - Duration: 1 Jan 2010 → …

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics
Period	1/01/10 → …

Cite this

@inproceedings{e3345053738c4289ad178d1b7db234e5,

title = "Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation",

abstract = "In this work we consider a nonlinear Volterra integral equation with weakly singular kernel. An asymptotic error expansion for the explicit Euler's method is obtained and this allows the use of certain extrapolation procedures. The performance of the extrapolation method is illustrated by several numerical examples.",

keywords = "Nonlinear Volterra integral equations, Asymptotic expansions, Extrapolation",

author = "Rebelo, {Magda Stela de Jesus}",

note = "International Conference on Numerical Analysis and Applied Mathematics, Rhodes, GREECE, SEP 19-25, 2010; International Conference on Numerical Analysis and Applied Mathematics ; Conference date: 01-01-2010",

year = "2010",

month = jan,

day = "1",

language = "Unknown",

isbn = "978-0-7354-0834-0",

volume = "1281",

pages = "1175--1178",

editor = "T Simos and G Psihoyios and C Tsitouras",

booktitle = "AIP Conference Proceedings",

publisher = "AMER INST PHYSICS",

}

Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation. / Rebelo, Magda Stela de Jesus.
AIP Conference Proceedings. ed. / T Simos; G Psihoyios; C Tsitouras. Vol. 1281 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA: AMER INST PHYSICS, 2010. p. 1175-1178.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation

AU - Rebelo, Magda Stela de Jesus

N1 - International Conference on Numerical Analysis and Applied Mathematics, Rhodes, GREECE, SEP 19-25, 2010

PY - 2010/1/1

Y1 - 2010/1/1

N2 - In this work we consider a nonlinear Volterra integral equation with weakly singular kernel. An asymptotic error expansion for the explicit Euler's method is obtained and this allows the use of certain extrapolation procedures. The performance of the extrapolation method is illustrated by several numerical examples.

AB - In this work we consider a nonlinear Volterra integral equation with weakly singular kernel. An asymptotic error expansion for the explicit Euler's method is obtained and this allows the use of certain extrapolation procedures. The performance of the extrapolation method is illustrated by several numerical examples.

KW - Nonlinear Volterra integral equations

KW - Asymptotic expansions

KW - Extrapolation

M3 - Conference contribution

SN - 978-0-7354-0834-0

VL - 1281

SP - 1175

EP - 1178

BT - AIP Conference Proceedings

A2 - Simos, T

A2 - Psihoyios, G

A2 - Tsitouras, C

PB - AMER INST PHYSICS

CY - 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA

T2 - International Conference on Numerical Analysis and Applied Mathematics

Y2 - 1 January 2010

ER -