๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The numerical stability of multistep methods for convolution Volterra integral equations: Nonsingular equations

โœ Scribed by H.M. Jones; S. McKee

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
721 KB
Volume
8
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 polynomials lie inside or on the unit circle. Stability results are presented for a sample of methods including some stability regions in graphical form.

๐Ÿ“œ SIMILAR VOLUMES

Numerical iterative method for Volterra
Numerical iterative method for Volterra equations of the convolution type
โœ Rani Warsi Sullivan; Mohsen Razzaghi; Jutima Simsiriwong ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 186 KB

The objective of this paper is to present an algorithm from which a rapidly convergent solution is obtained for Volterra integral equations of Hammerstein type. Such equations are often encountered when describing the response of viscoelastic materials where the time dependency of the material prope