Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Differentiation formulas for analytic functions


Author: J. N. Lyness
Journal: Math. Comp. 22 (1968), 352-362
MSC: Primary 65.55
DOI: https://doi.org/10.1090/S0025-5718-1968-0230468-5
MathSciNet review: 0230468
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In a previous paper (Lyness and Moler $ [1]$), several closely related formulas of use for obtaining a derivative of an analytic function numerically are derived.

Each of these formulas consists of a convergent series, each term being a sum of function evaluations in the complex plane.

In this paper we introduce a simple generalization of the previous methods; we investigate the "truncation error" associated with truncating the infinite series. Finally we recommend a particular differentiation rule, not given in the previous paper.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65.55

Retrieve articles in all journals with MSC: 65.55


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1968-0230468-5
Article copyright: © Copyright 1968 American Mathematical Society