Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel

E. A. Galperin; E. J. Kansa; Athena Makroglou; S. A. Nelson

doi:10.1016/S0362-546X(96)00340-9

Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel

E. A. Galperin, E. J. Kansa, Athena Makroglou, S. A. Nelson

School of Mathematics & Physics

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

Abstract

Nonlinear Volterra integral and integro-differential equations with weakly-singular kernel are considered and solved numerically using nonlinear mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.

Original language	English
Pages (from-to)	1505-1513
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	30
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(96)00340-9
Publication status	Published - 1997
Event	2nd World Congress of Nonlinear Analysis (WCNA 96); - Athens, Greece Duration: 10 Jul 1996 → 17 Jul 1996

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@article{50001b7811f1479f88a9ebfa80332d73,

title = "Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel",

abstract = "Nonlinear Volterra integral and integro-differential equations with weakly-singular kernel are considered and solved numerically using nonlinear mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.",

author = "Galperin, {E. A.} and Kansa, {E. J.} and Athena Makroglou and Nelson, {S. A.}",

year = "1997",

doi = "10.1016/S0362-546X(96)00340-9",

language = "English",

volume = "30",

pages = "1505--1513",

journal = "Nonlinear Analysis: Theory, Methods & Applications",

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note = "2nd World Congress of Nonlinear Analysis (WCNA 96); , (WCNA 96) ; Conference date: 10-07-1996 Through 17-07-1996",

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T1 - Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel

AU - Galperin, E. A.

AU - Kansa, E. J.

AU - Makroglou, Athena

AU - Nelson, S. A.

PY - 1997

Y1 - 1997

N2 - Nonlinear Volterra integral and integro-differential equations with weakly-singular kernel are considered and solved numerically using nonlinear mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.

AB - Nonlinear Volterra integral and integro-differential equations with weakly-singular kernel are considered and solved numerically using nonlinear mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.

U2 - 10.1016/S0362-546X(96)00340-9

DO - 10.1016/S0362-546X(96)00340-9

M3 - Article

VL - 30

SP - 1505

EP - 1513

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

IS - 3

T2 - 2nd World Congress of Nonlinear Analysis (WCNA 96);

Y2 - 10 July 1996 through 17 July 1996

ER -

Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel

Abstract

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