Representation of grossone-based arithmetic in Simulink for scientific computing

Soft Computing 24:17525-17539 (2020)
  Copy   BIBTEX

Abstract

Numerical computing is a key part of the traditional computer architecture. Almost all traditional computers implement the IEEE 754-1985 binary floating point standard to represent and work with numbers. The architectural limitations of traditional computers make impossible to work with infinite and infinitesimal quantities numerically. This paper is dedicated to the Infinity Computer, a new kind of a supercomputer that allows one to perform numerical computations with finite, infinite, and infinitesimal numbers. The already available software simulator of the Infinity Computer is used in different research domains for solving important real-world problems, where precision represents a key aspect. However, the software simulator is not suitable for solving problems in control theory and dynamics, where visual programming tools like Simulink are used frequently. In this context, the paper presents an innovative solution that allows one to use the Infinity Computer arithmetic within the Simulink environment. It is shown that the proposed solution is user-friendly, general purpose, and domain independent.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,471

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

UN SEMPLICE MODO PER TRATTARE LE GRANDEZZE INFINITE ED INFINITESIME.Yaroslav Sergeyev - 2015 - la Matematica Nella Società E Nella Cultura: Rivista Dell’Unione Matematica Italiana, Serie I 8:111-147.
Computing and modelling: Analog vs. Analogue.Philippos Papayannopoulos - 2020 - Studies in History and Philosophy of Science Part A 83:103-120.

Analytics

Added to PP
2024-03-09

Downloads
61 (#266,190)

6 months
61 (#79,585)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Yaroslav Sergeyev
Università della Calabria

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references