INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019
Marat S. Mukhametzhanov, Yaroslav D. Sergeyev
Conference:
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019
(INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019)
Volume 2293
(2020),
p. 420045
Addressing Ill-Conditioning in Global Optimization Using a Software Implementation of the Infinity Computer
Marat S. Mukhametzhanov, Dmitri E. Kvasov
Book:
Emergence, Complexity and Computation
(Numerical Infinities and Infinitesimals in Optimization)
Volume 43
(2022),
p. 347
Computations with Grossone-Based Infinities
Book:
Lecture Notes in Computer Science
(Unconventional Computation and Natural Computation)
Volume 9252
(2015),
p. 89
A New Computational Methodology Using Infinite and Infinitesimal Numbers
Book:
Lecture Notes in Computer Science
(Cellular Automata)
Volume 6350
(2010),
p. 646
The Grossone Methodology Perspective on Turing Machines
Yaroslav D. Sergeyev, Alfredo Garro
Book:
Emergence, Complexity and Computation
(Automata, Universality, Computation)
Volume 12
(2015),
p. 139
Infinite Games on Finite Graphs Using Grossone
Book:
Lecture Notes in Computer Science
(Numerical Computations: Theory and Algorithms)
Volume 11974
(2020),
p. 346
Numerical Computations with Infinite and Infinitesimal Numbers: Theory and Applications
Book:
Springer Proceedings in Mathematics & Statistics
(Dynamics of Information Systems: Algorithmic Approaches)
Volume 51
(2013),
p. 1
Examples of the Usage of Infinities and Infinitesimals in Numerical Computations
Book:
Communications in Computer and Information Science
(Advances in Artificial Life and Evolutionary Computation)
Volume 445
(2014),
p. 190
AIP Conference Proceedings
Conference:
AIP Conference Proceedings
Volume 1776
(2016),
p. 020003
A New Computational Paradigm Using Grossone-Based Numerical Infinities and Infinitesimals
Book:
Emergence, Complexity and Computation
(Numerical Infinities and Infinitesimals in Optimization)
Volume 43
(2022),
p. 3
AIP Conference Proceedings
Conference:
AIP Conference Proceedings
Volume 1738
(2016),
p. 020012
AIP Conference Proceedings
Conference:
AIP Conference Proceedings
Volume 1776
(2016),
p. 090005
AIP Conference Proceedings
Conference:
AIP Conference Proceedings
Volume 1978
(2018),
p. 020004
Modeling Infinite Games on Finite Graphs Using Numerical Infinities
Book:
Emergence, Complexity and Computation
(Numerical Infinities and Infinitesimals in Optimization)
Volume 43
(2022),
p. 297
A Simulink-Based Infinity Computer Simulator and Some Applications
Alberto Falcone, Alfredo Garro, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev
Book:
Lecture Notes in Computer Science
(Numerical Computations: Theory and Algorithms)
Volume 11974
(2020),
p. 362
Percolation Transition and Related Phenomena in Terms of Grossone Infinity Computations
Dmitry I. Iudin, Yaroslav D. Sergeyev
Book:
Emergence, Complexity and Computation
(Advances in Unconventional Computing)
Volume 22
(2017),
p. 239
A New Computational Approach to Infinity for Modelling Physical Phenomena
Book:
Springer Proceedings in Physics
(Frontiers of Fundamental Physics and Physics Education Research)
Volume 145
(2014),
p. 353
Finite and Infinite Computations and a Classification of Two-Dimensional Cellular Automata Using Infinite Computations
Book:
Lecture Notes in Computer Science
(Parallel Computing Technologies)
Volume 10421
(2017),
p. 183
Exact Numerical Differentiation on the Infinity Computer and Applications in Global Optimization
Maria Chiara Nasso, Yaroslav D. Sergeyev
Book:
Emergence, Complexity and Computation
(Numerical Infinities and Infinitesimals in Optimization)
Volume 43
(2022),
p. 221
A classification of one-dimensional cellular automata using infinite computations
Journal:
Applied Mathematics and Computation
Volume 255
(2015),
p. 15
A constructive sequence algebra for the calculus of indications
Rocco Gangle, Gianluca Caterina, Fernando Tohmé
Journal:
Soft Computing
Volume 24,
Issue 23
(2020),
p. 17621
A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic
P. Amodio, F. Iavernaro, F. Mazzia, M.S. Mukhametzhanov, Ya.D. Sergeyev
Journal:
Mathematics and Computers in Simulation
Volume 141
(2017),
p. 24
A new approach to the Z-transform through infinite computation
Fabio Caldarola, Mario Maiolo, Viviana Solferino
Journal:
Communications in Nonlinear Science and Numerical Simulation
Volume 82
(2020),
p. 105019
An application of Grossone to the study of a family of tilings of the hyperbolic plane
Journal:
Applied Mathematics and Computation
Volume 218,
Issue 16
(2012),
p. 8005
Computing Truth Values in the Topos of Infinite Peirce’s α-Existential Graphs
Fernando Tohmé, Gianluca Caterina, Rocco Gangle
Journal:
Applied Mathematics and Computation
Volume 385
(2020),
p. 125343
Conjugate-symplecticity properties of Euler–Maclaurin methods and their implementation on the Infinity Computer
F. Iavernaro, F. Mazzia, M.S. Mukhametzhanov, Ya.D. Sergeyev
Journal:
Applied Numerical Mathematics
Volume 155
(2020),
p. 58
East-West paths to unconventional computing
Andrew Adamatzky, Selim Akl, Mark Burgin, Cristian S. Calude, José Félix Costa, Mohammad Mahdi Dehshibi, Yukio-Pegio Gunji, Zoran Konkoli, Bruce MacLennan, Bruno Marchal, Maurice Margenstern, Genaro J. Martínez, Richard Mayne, Kenichi Morita, Andrew Schumann, Yaroslav D. Sergeyev, Georgios Ch. Sirakoulis, Susan Stepney, Karl Svozil, Hector Zenil
Journal:
Progress in Biophysics and Molecular Biology
Volume 131
(2017),
p. 469
Independence of the Grossone-Based Infinity Methodology from Non-standard Analysis and Comments upon Logical Fallacies in Some Texts Asserting the Opposite
Journal:
Foundations of Science
Volume 24,
Issue 1
(2019),
p. 153
Infinite Numerical Computing Applied to Hilbert’s, Peano’s, and Moore’s Curves
Luigi Antoniotti, Fabio Caldarola, Mario Maiolo
Journal:
Mediterranean Journal of Mathematics
Volume 17,
Issue 3
(2020)
Infinite computations and the generic finite
Journal:
Applied Mathematics and Computation
Volume 255
(2015),
p. 25
Infinite games on finite graphs using grossone
Journal:
Soft Computing
Volume 24,
Issue 23
(2020),
p. 17509
Infinity computations in cellular automaton forest-fire model
D.I. Iudin, Ya.D. Sergeyev, M. Hayakawa
Journal:
Communications in Nonlinear Science and Numerical Simulation
Volume 20,
Issue 3
(2015),
p. 861
Lexicographic multi-objective linear programming using grossone methodology: Theory and algorithm
Marco Cococcioni, Massimo Pappalardo, Yaroslav D. Sergeyev
Journal:
Applied Mathematics and Computation
Volume 318
(2018),
p. 298
Non-Archimedean game theory: A numerical approach
Lorenzo Fiaschi, Marco Cococcioni
Journal:
Applied Mathematics and Computation
Volume 409
(2021),
p. 125356
Nonlinear programming and Grossone: Quadratic Programing and the role of Constraint Qualifications
Journal:
Applied Mathematics and Computation
Volume 318
(2018),
p. 290
Observability in the Univalent Universe
Fernando Tohmé, Gianluca Caterina, Rocco Gangle
Journal:
Mediterranean Journal of Mathematics
Volume 19,
Issue 5
(2022)
On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function
Journal:
P-Adic Numbers, Ultrametric Analysis, and Applications
Volume 3,
Issue 2
(2011),
p. 129
On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales
Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov
Journal:
Communications in Nonlinear Science and Numerical Simulation
Volume 59
(2018),
p. 319
On the topological convergence of multi-rule sequences of sets and fractal patterns
Fabio Caldarola, Mario Maiolo
Journal:
Soft Computing
Volume 24,
Issue 23
(2020),
p. 17737
Planar methods and grossone for the Conjugate Gradient breakdown in nonlinear programming
Renato De Leone, Giovanni Fasano, Yaroslav D. Sergeyev
Journal:
Computational Optimization and Applications
Volume 71,
Issue 1
(2018),
p. 73
Reprint of Infinity computations in cellular automaton forest-fire model
D.I. Iudin, Ya.D. Sergeyev, M. Hayakawa
Journal:
Communications in Nonlinear Science and Numerical Simulation
Volume 21,
Issue 1-3
(2015),
p. 190
Single-tape and multi-tape Turing machines through the lens of the Grossone methodology
Yaroslav D. Sergeyev, Alfredo Garro
Journal:
The Journal of Supercomputing
Volume 65,
Issue 2
(2013),
p. 645
Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically
Journal:
Applied Mathematics and Computation
Volume 219,
Issue 22
(2013),
p. 10668
Some Paradoxes of Infinity Revisited
Journal:
Mediterranean Journal of Mathematics
Volume 19,
Issue 3
(2022)
The Olympic Medals Ranks, Lexicographic Ordering, and Numerical Infinities
Journal:
The Mathematical Intelligencer
Volume 37,
Issue 2
(2015),
p. 4
The Sierpinski curve viewed by numerical computations with infinities and infinitesimals
Journal:
Applied Mathematics and Computation
Volume 318
(2018),
p. 321
The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area
Journal:
Communications in Nonlinear Science and Numerical Simulation
Volume 31,
Issue 1-3
(2016),
p. 21
The exact measures of the Sierpiński d-dimensional tetrahedron in connection with a Diophantine nonlinear system
Journal:
Communications in Nonlinear Science and Numerical Simulation
Volume 63
(2018),
p. 228