Computing sums of conditionally convergent and divergent series using the concept of grossone

Author:

Zhigljavsky Anatoly

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference12 articles.

1. Ya. D. Sergeyev, Arithmetic of Infinity, Edizioni Orizzonti Meridionali, CS, 2003.

2. A new applied approach for executing computations with infinite and infinitesimal quantities;Sergeyev;Informatica,2008

3. Numerical point of view on calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains;Sergeyev;Nonlinear Analysis Theory, Methods and Applications,2009

4. Numerical computations and mathematical modelling with infinite and infinitesimal numbers;Sergeyev;Journal of Applied Mathematics and Computing,2009

5. Lagrange lecture: methodology of numerical computations with infinities and infinitesimals;Sergeyev;Rendiconti del Seminario Matematico dell’ Universita’ e del Politecnico di Torino,2010

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