A Simulink-Based Infinity Computer Simulator and Some Applications

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 pro...

Full description

Saved in:
Bibliographic Details
Published inNumerical Computations: Theory and Algorithms Vol. 11974; pp. 362 - 369
Main Authors Falcone, Alberto, Garro, Alfredo, Mukhametzhanov, Marat S., Sergeyev, Yaroslav D.
Format Book Chapter
LanguageEnglish
Published Switzerland Springer International Publishing AG 2020
Springer International Publishing
SeriesLecture Notes in Computer Science
Subjects
Infinity computer
Numerical differentiation
Scientific computing
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:The work of M.S. Mukhametzhanov was supported by the INdAM-GNCS funding “Giovani Ricercatori 2018-2019”.
ISBN:3030406156
9783030406158
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-030-40616-5_31