76 citations · 631 across the 35 of their papers we have counts for
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math.NA2012★ 6 cited
Methodology of Numerical Computations with Infinities and Infinitesimals
Yaroslav D. Sergeyev
A recently developed computational methodology for executing numerical calculations with infinities and infinitesimals is described in this paper. The developed approach has a pron…
math.NA2012
Higher order numerical differentiation on the Infinity Computer
Yaroslav D. Sergeyev
There exist many applications where it is necessary to approximate numerically derivatives of a function which is given by a computer procedure. In particular, all the fields of op…
math.NA2012
Numerical computations and mathematical modelling with infinite and infinitesimal numbers
Yaroslav D. Sergeyev
Traditional computers work with finite numbers. Situations where the usage of infinite or infinitesimal quantities is required are studied mainly theoretically. In this paper, a re…