Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

M. R. Crisci; Zdzislaw Jackiewicz; E. Russo; A. Vecchio

doi:10.1007/BF02238797

Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

M. R. Crisci, Zdzislaw Jackiewicz, E. Russo, A. Vecchio

Mathematical and Statistical Sciences, School of (SoMSS)

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

5 Scopus citations

Abstract

We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.

Original language	English (US)
Pages (from-to)	291-300
Number of pages	10
Journal	Computing
Volume	45
Issue number	4
DOIs	https://doi.org/10.1007/BF02238797
State	Published - Dec 1990

Keywords

AMS (Mos) Subject Classifications: Primary 65R20, Secondary 45D05, 45L10
Degenerate kernel
Runge-Kutta method
Stability
Volterra integral equation
Volterra integro-differential equation

ASJC Scopus subject areas

Theoretical Computer Science
Software
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Computational Mathematics

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10.1007/BF02238797

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title = "Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels",

abstract = "We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.",

keywords = "AMS (Mos) Subject Classifications: Primary 65R20, Secondary 45D05, 45L10, Degenerate kernel, Runge-Kutta method, Stability, Volterra integral equation, Volterra integro-differential equation",

author = "Crisci, {M. R.} and Zdzislaw Jackiewicz and E. Russo and A. Vecchio",

year = "1990",

month = dec,

doi = "10.1007/BF02238797",

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volume = "45",

pages = "291--300",

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T1 - Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

AU - Crisci, M. R.

AU - Jackiewicz, Zdzislaw

AU - Russo, E.

AU - Vecchio, A.

PY - 1990/12

Y1 - 1990/12

N2 - We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.

AB - We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.

KW - AMS (Mos) Subject Classifications: Primary 65R20, Secondary 45D05, 45L10

KW - Degenerate kernel

KW - Runge-Kutta method

KW - Stability

KW - Volterra integral equation

KW - Volterra integro-differential equation

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JO - Computing

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ER -

Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

Abstract

Keywords

ASJC Scopus subject areas

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