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Renato Spigler
Renato Spigler
Full Professor of Numerical Analysis, Roma Tre University
Verified email at mat.uniroma3.it - Homepage
Title
Cited by
Cited by
Year
The Kuramoto model: A simple paradigm for synchronization phenomena
JA Acebrón, LL Bonilla, CJP Vicente, F Ritort, R Spigler
Reviews of modern physics 77 (1), 137, 2005
35692005
Approximation results for neural network operators activated by sigmoidal functions
D Costarelli, R Spigler
Neural Networks 44, 101-106, 2013
2242013
Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators
LL Bonilla, JC Neu, R Spigler
Journal of statistical physics 67, 313-330, 1992
1641992
Multivariate neural network operators with sigmoidal activation functions
D Costarelli, R Spigler
Neural Networks 48, 72-77, 2013
1462013
Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators
JA Acebrón, R Spigler
Physical Review Letters 81 (11), 2229, 1998
1301998
Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions
LL Bonilla, CJP Vicente, R Spigler
Physica D: Nonlinear Phenomena 113 (1), 79-97, 1998
1211998
Synchronization in populations of globally coupled oscillators with inertial effects
JA Acebrón, LL Bonilla, R Spigler
Physical Review E 62 (3), 3437, 2000
1022000
Constructive approximation by superposition of sigmoidal functions
D Costarelli, R Spigler
Anal. Theory Appl 29 (2), 169-196, 2013
962013
Convergence and stability of implicit Runge-Kutta methods for systems with multiplicative noise
DB Hernandez, R Spigler
BIT Numerical Mathematics 33 (4), 654-669, 1993
641993
Convergence of a family of neural network operators of the Kantorovich type
D Costarelli, R Spigler
Journal of Approximation Theory 185, 80-90, 2014
622014
Domain decomposition solution of elliptic boundary-value problems via Monte Carlo and quasi-Monte Carlo methods
JA Acebrón, MP Busico, P Lanucara, R Spigler
SIAM Journal on Scientific Computing 27 (2), 440-457, 2005
562005
A-stability of Runge-Kutta methods for systems with additive noise
DB Hernández, R Spigler
BIT Numerical Mathematics 32 (4), 620-633, 1992
551992
Ground-state computation of Bose-Einstein condensates by an imaginary-time quantum lattice Boltzmann scheme
S Palpacelli, S Succi, R Spigler
Physical Review E 76 (3), 036712, 2007
502007
Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators
JA Acebrón, LL Bonilla, S De Leo, R Spigler
Physical Review E 57 (5), 5287, 1998
501998
Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation
D Costarelli, R Spigler
Computational and Applied Mathematics 37 (1), 99-133, 2018
462018
Singular perturbations for certain partial differential equations without boundary‐layers
DR Akhmetov, MM Lavrentiev Jr, R Spigler
Asymptotic Analysis 35 (1), 65-89, 2003
442003
A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions
D Costarelli, R Spigler
The Journal of Integral Equations and Applications, 15-52, 2014
432014
Solving Volterra integral equations of the second kind by sigmoidal functions approximation
D Costarelli, R Spigler
432013
Approximation by series of sigmoidal functions with applications to neural networks
D Costarelli, R Spigler
Annali di Matematica Pura ed Applicata (1923-) 194, 289-306, 2015
422015
Bifurcations and global stability of synchronized stationary states in the Kuramoto model for oscillator populations
JA Acebrón, A Perales, R Spigler
Physical Review E 64 (1), 016218, 2001
402001
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