Stability analysis of product θ-methods for Abel integral equations of the second kind

V. L. Bakke, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Stability analysis of product θ-methods for Abel integral equations of the second kind, based on the test equation {Mathematical expression} 0<α<1, is presented. It is known that the solution Y of this equation is bounded if and only if λ>0 and we investigate whether this property is inherited by numerical approximations to Y.

Original languageEnglish (US)
Pages (from-to)127-136
Number of pages10
JournalNumerische Mathematik
Volume48
Issue number2
DOIs
StatePublished - Mar 1986
Externally publishedYes

Fingerprint

Abel Integral Equation
Numerical Approximation
Integral equations
Stability Analysis

Keywords

  • Subject Classifications: AMS(MOS): 65R20, CR: G1.9

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics
  • Mathematics(all)

Cite this

Stability analysis of product θ-methods for Abel integral equations of the second kind. / Bakke, V. L.; Jackiewicz, Zdzislaw.

In: Numerische Mathematik, Vol. 48, No. 2, 03.1986, p. 127-136.

Research output: Contribution to journalArticle

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