A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework-Reference-Cited by-同舟云学术

A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework

Published:2020 Issue: Volume: Page:289-297
ISSN:0302-9743
Container-title:Lecture Notes in Computer Science
language:
Short-container-title:

Author:

Amodio Pierluigi^ORCID,Brugnano Luigi^ORCID,Iavernaro Felice^ORCID,Mazzia Francesca^ORCID

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-030-40616-5_22

Reference17 articles.

1. Amodio, P., Iavernaro, F., Mazzia, F., Mukhametzhanov, M.S., Sergeyev, Y.D.: A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. Math. Comput. Simul. 141, 24–39 (2016)

2. Bailey, D.H., Borwein, J.M.: High-precision arithmetic in mathematical physics. Mathematics 3(2), 337–367 (2015)

3. Brugnano, L., Mazzia, F., Trigiante, D.: Fifty years of stiffness. In: Simos, T. (ed.) Recent Advances in Computational and Applied Mathematics, pp. 1–21. Springer, Dordrecht (2011). https://doi.org/10.1007/978-90-481-9981-5_1

4. De Cosmis, S., Leone, R.D.: The use of grossone in mathematical programming and operations research. Appl. Math. Comput. 218(16), 8029–8038 (2012)

5. Gaudioso, M., Giallombardo, G., Mukhametzhanov, M.S.: Numerical infinitesimals in a variable metric method for convex nonsmooth optimization. Appl. Math. Comput. 318, 312–320 (2018)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Grossone-Based Diagonal Bundle Method;Emergence, Complexity and Computation;2022

2. Computation of higher order Lie derivatives on the Infinity Computer;Journal of Computational and Applied Mathematics;2021-02

3. On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic;Soft Computing;2020-08-06