This paper is dedicated to the Infinity Computer – a new type of a supercomputer allowing one to work numerically with finite, infinite, and infinitesimal numbers in one general framework. The existent software simulators of the Infinity Computer are used already for solving important real-world problems in applied mathematics. However, they are not efficient for solving difficult problems in control theory and dynamics, where visual programming tools like Simulink are used frequently. For this purpose, the main aim of this paper is to introduce a new Simulink-based solution of the Infinity Computer.

A Simulink-Based Infinity Computer Simulator and Some Applications

Falcone Alberto;Garro Alfredo;Mukhametzhanov Marat.;Sergeev Yaroslav
2020-01-01

Abstract

This paper is dedicated to the Infinity Computer – a new type of a supercomputer allowing one to work numerically with finite, infinite, and infinitesimal numbers in one general framework. The existent software simulators of the Infinity Computer are used already for solving important real-world problems in applied mathematics. However, they are not efficient for solving difficult problems in control theory and dynamics, where visual programming tools like Simulink are used frequently. For this purpose, the main aim of this paper is to introduce a new Simulink-based solution of the Infinity Computer.
2020
978-3-030-40615-8
978-3-030-40616-5
Infinity computer; Numerical differentiation; Scientific computing
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/303381
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 11
social impact