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) |
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Pages (from-to) | 127-136 |
Number of pages | 10 |
Journal | Numerische Mathematik |
Volume | 48 |
Issue number | 2 |
DOIs | |
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