On optimal integration methods for Volterra integral equations of the first kind

Author:
C. J. Gladwin

Journal:
Math. Comp. **39** (1982), 511-518

MSC:
Primary 65R20; Secondary 45D05, 45L10

DOI:
https://doi.org/10.1090/S0025-5718-1982-0669643-1

MathSciNet review:
669643

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Abstract: Families of methods depending on free parameters are constructed for the solution of nonsingular Volterra integral equations of the first kind in [5]. These parameters are restricted to certain regions in order that a certain polynomial satisfies both a stability and a consistency condition. In this note an optimal choice of the free parameters is outlined in order that the -norm of the roots of the polynomial is minimized.

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DOI:
https://doi.org/10.1090/S0025-5718-1982-0669643-1

Article copyright:
© Copyright 1982
American Mathematical Society