# Stability of reducible quadrature methods for Volterra integral equations of the second kind

V. L. Bakke, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

4 Citations (Scopus)

### Abstract

Stability analysis of reducible quadrature methods for Volterra integral equations based on the test equation {Mathematical expression} is presented. The concept of absolute stability is defined and necessary and sufficient conditions for the method to be absolutely stable for given λ, μ, and v are derived. These conditions are illustrated for the class of θ-methods for integral equations. The main tool in our stability analysis is the theory of difference equations of Poincaré type.

Original language English (US) 159-173 15 Numerische Mathematik 47 2 https://doi.org/10.1007/BF01389707 Published - Jun 1985 Yes

### Fingerprint

Volterra Integral Equations
Integral equations
Stability Analysis
Absolute Stability
Convergence of numerical methods
Difference equations
Difference equation
Integral Equations
Necessary Conditions
Sufficient Conditions
Class
Concepts

### Keywords

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

### ASJC Scopus subject areas

• Computational Mathematics
• Applied Mathematics
• Mathematics(all)

### Cite this

In: Numerische Mathematik, Vol. 47, No. 2, 06.1985, p. 159-173.

Research output: Contribution to journalArticle

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