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Numerical stability analysis of numerical methods for volterra integral equations with delay argument

โœ Scribed by Tian Hong-jiong; Kuang Jiao-xun

Publisher
Springer
Year
1995
Tongue
English
Weight
325 KB
Volume
16
Category
Article
ISSN
0253-4827

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๐Ÿ“œ SIMILAR VOLUMES

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Ahstraet-A family of test equations is suggested for first and second kind nonsingular Volterra integral equations with convolution kernels. It is shown that the numerical stability of multistep methods when applied to these test equations can be characterised as the requirement that the roots of po

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This paper deals with the stability analysis of the backward differential formulas (or BDF methods) for nonlinear Volterra integral equations with delay (VIDEs). The presented approach is based on a nonclassical Lipschitz condition. In particular, the criteria on the global and the asymptotic stabil