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

V. L. Bakke; Z. Jackiewicz

doi:10.1007/BF01389867

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

V. L. Bakke, Z. Jackiewicz

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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 language	English (US)
Pages (from-to)	127-136
Number of pages	10
Journal	Numerische Mathematik
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/BF01389867
State	Published - Mar 1 1986
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF01389867

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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.",

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AB - 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.

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

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

Abstract

Keywords

ASJC Scopus subject areas

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