Edit Profile (opens in new tab) Caldarola, Fabio Co-Author Distance Author ID: caldarola.fabio Published as: Caldarola, Fabio External Links: MGP Documents Indexed: 21 Publications since 2015 Co-Authors: 17 Co-Authors with 17 Joint Publications 75 Co-Co-Authors all top 5 Co-Authors 4 single-authored 10 Maiolo, Mario 7 d’Atri, Gianfranco 2 Antoniotti, Luigi 2 Bandini, Andrea 2 Pirillo, Giuseppe 1 Bilotta, Eleonora 1 Bonora, Marco Amos 1 Carini, Manuela 1 Cortese, Domenico 1 Leonardis, Antonino 1 Mercuri, Pietro 1 Muranho, Joao 1 Pantano, Pietro S. 1 Papaleo, Maria Anastasia 1 Solferino, Viviana 1 Sousa, Joaquim 1 Talamanca, Valerio all top 5 Serials 3 Communications in Nonlinear Science and Numerical Simulation 2 Applied Mathematics and Computation 2 Soft Computing 2 Mediterranean Journal of Mathematics 1 Acta Arithmetica 1 Rendiconti del Seminario Matematico della Università di Padova 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 International Electronic Journal of Algebra (IEJA) 1 Rivista di Matematica della Università di Parma. New Series all top 5 Fields 8 Number theory (11-XX) 7 Numerical analysis (65-XX) 4 Measure and integration (28-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 108 times in 36 Documents Cited by ▼ Year ▼ The Sierpinski curve viewed by numerical computations with infinities and infinitesimals. Zbl 1426.28016 Caldarola, Fabio 23 2018 The exact measures of the Sierpiński \(d\)-dimensional tetrahedron in connection with a Diophantine nonlinear system. Zbl 1508.52004 Caldarola, Fabio 15 2018 A new approach to the \(Z\)-transform through infinite computation. Zbl 1459.40007 Caldarola, Fabio; Maiolo, Mario; Solferino, Viviana 12 2020 New approaches to basic calculus: an experimentation via numerical computation. Zbl 07249939 Antoniotti, Luigi; Caldarola, Fabio; d’Atri, Gianfranco; Pellegrini, Marco 10 2020 Infinite numerical computing applied to Hilbert’s, Peano’s, and Moore’s curves. Zbl 1484.28003 Antoniotti, Luigi; Caldarola, Fabio; Maiolo, Mario 10 2020 On the topological convergence of multi-rule sequences of sets and fractal patterns. Zbl 1509.28007 Caldarola, Fabio; Maiolo, Mario 8 2020 Paradoxes of the infinite and ontological dilemmas between ancient philosophy and modern mathematical solutions. Zbl 07249941 Caldarola, Fabio; Cortese, Domenico; d’Atri, Gianfranco; Maiolo, Mario 6 2020 The sequence of Carboncettus octagons. Zbl 07249942 Caldarola, Fabio; d’Atri, Gianfranco; Maiolo, Mario; Pirillo, Giuseppe 4 2020 On the arithmetic of Knuth’s powers and some computational results about their density. Zbl 07249943 Caldarola, Fabio; d’Atri, Gianfranco; Mercuri, Pietro; Talamanca, Valerio 4 2020 Computation of supertrack functions for Chua’s oscillator and for Chua’s circuit with memristor. Zbl 1460.94096 Caldarola, Fabio; Pantano, Pietro; Bilotta, Eleonora 4 2021 New algebraic and geometric constructs arising from Fibonacci numbers. Zbl 1498.68219 Caldarola, Fabio; d’Atri, Gianfranco; Maiolo, Mario; Pirillo, Giuseppe 4 2020 Numerical experimentations for a new set of local indices of a water network. Zbl 07249952 Bonora, Marco Amos; Caldarola, Fabio; Muranho, Joao; Sousa, Joaquim; Maiolo, Mario 3 2020 Algebraic tools and new local indices for water networks: some numerical examples. Zbl 07249954 Caldarola, Fabio; Maiolo, Mario 3 2020 Beyond Knuth’s notation for unimaginable numbers within computational number theory. Zbl 1484.11234 Leonardis, Antonino; d’Atri, Gianfranco; Caldarola, Fabio 2 2022 Beyond Knuth’s notation for unimaginable numbers within computational number theory. Zbl 1484.11234 Leonardis, Antonino; d’Atri, Gianfranco; Caldarola, Fabio 2 2022 Computation of supertrack functions for Chua’s oscillator and for Chua’s circuit with memristor. Zbl 1460.94096 Caldarola, Fabio; Pantano, Pietro; Bilotta, Eleonora 4 2021 A new approach to the \(Z\)-transform through infinite computation. Zbl 1459.40007 Caldarola, Fabio; Maiolo, Mario; Solferino, Viviana 12 2020 New approaches to basic calculus: an experimentation via numerical computation. Zbl 07249939 Antoniotti, Luigi; Caldarola, Fabio; d’Atri, Gianfranco; Pellegrini, Marco 10 2020 Infinite numerical computing applied to Hilbert’s, Peano’s, and Moore’s curves. Zbl 1484.28003 Antoniotti, Luigi; Caldarola, Fabio; Maiolo, Mario 10 2020 On the topological convergence of multi-rule sequences of sets and fractal patterns. Zbl 1509.28007 Caldarola, Fabio; Maiolo, Mario 8 2020 Paradoxes of the infinite and ontological dilemmas between ancient philosophy and modern mathematical solutions. Zbl 07249941 Caldarola, Fabio; Cortese, Domenico; d’Atri, Gianfranco; Maiolo, Mario 6 2020 The sequence of Carboncettus octagons. Zbl 07249942 Caldarola, Fabio; d’Atri, Gianfranco; Maiolo, Mario; Pirillo, Giuseppe 4 2020 On the arithmetic of Knuth’s powers and some computational results about their density. Zbl 07249943 Caldarola, Fabio; d’Atri, Gianfranco; Mercuri, Pietro; Talamanca, Valerio 4 2020 New algebraic and geometric constructs arising from Fibonacci numbers. Zbl 1498.68219 Caldarola, Fabio; d’Atri, Gianfranco; Maiolo, Mario; Pirillo, Giuseppe 4 2020 Numerical experimentations for a new set of local indices of a water network. Zbl 07249952 Bonora, Marco Amos; Caldarola, Fabio; Muranho, Joao; Sousa, Joaquim; Maiolo, Mario 3 2020 Algebraic tools and new local indices for water networks: some numerical examples. Zbl 07249954 Caldarola, Fabio; Maiolo, Mario 3 2020 The Sierpinski curve viewed by numerical computations with infinities and infinitesimals. Zbl 1426.28016 Caldarola, Fabio 23 2018 The exact measures of the Sierpiński \(d\)-dimensional tetrahedron in connection with a Diophantine nonlinear system. Zbl 1508.52004 Caldarola, Fabio 15 2018 all cited Publications top 5 cited Publications all top 5 Cited by 58 Authors 11 Sergeev, Yaroslav Dmitrievich 9 Caldarola, Fabio 6 Maiolo, Mario 4 Cococcioni, Marco 3 d’Atri, Gianfranco 3 De Leone, Renato 3 Fiaschi, Lorenzo 3 Mukhametzhanov, Marat S. 2 Caterina, Gianluca 2 Cudazzo, Alessandro 2 D’Alotto, Louis A. 2 Gangle, Rocco 2 Iavernaro, Felice 2 Kvasov, Dmitriĭ Evgen’evich 2 Leonardis, Antonino 2 Mazzia, Francesca 2 Pappalardo, Massimo 2 Tohmé, Fernando A. 1 An, Xinlei 1 Antoniotti, Luigi 1 Astorino, Annabella 1 Bao, Bocheng 1 Belhadj, Samir 1 Bilotta, Eleonora 1 Brugnano, Luigi 1 Carini, Manuela 1 Chen, Mo 1 Egidi, Nadaniela 1 Emelyanov, Alexey A. 1 Fasano, Giovanni 1 Fatone, Lorella 1 Fuduli, Antonio 1 Gao, Chang 1 Goubi, Mouloud 1 Gu, Hao 1 Guo, Beibei 1 Iudin, Dmitry I. 1 Iudin, Fedor D. 1 Klimashov, Vitaly Yu. 1 Ma, Jun 1 Merdan, Mehmet 1 Pantano, Pietro S. 1 Papaleo, Maria Anastasia 1 Pirillo, Giuseppe 1 Roma, Massimo 1 Şişman, Şeyma 1 Solferino, Viviana 1 Syssoev, Artem A. 1 Toraldo, Gerardo 1 Wang, Ankai 1 Wang, Chao 1 Wu, Huagan 1 Xiao, Yu 1 Yang, Feifei 1 Yang, Qigui 1 Zanardo, E. 1 Zhang, Xu 1 Zhao, Manyu all top 5 Cited in 13 Serials 8 Communications in Nonlinear Science and Numerical Simulation 7 Soft Computing 5 Mediterranean Journal of Mathematics 3 Applied Mathematics and Computation 2 Chaos, Solitons and Fractals 2 Journal of Computational and Applied Mathematics 2 International Electronic Journal of Algebra (IEJA) 1 Journal of Optimization Theory and Applications 1 Applied Numerical Mathematics 1 Foundations of Science 1 Advances in Difference Equations 1 Optimization Letters 1 Journal of Applied Mathematics & Informatics all top 5 Cited in 22 Fields 7 Numerical analysis (65-XX) 7 Computer science (68-XX) 7 Operations research, mathematical programming (90-XX) 6 Mathematical logic and foundations (03-XX) 6 Number theory (11-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year