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1

The Kuramoto model: A simple paradigm for synchronization phenomena

Acebrón, Juan A., Bonilla, L. L., Pérez Vicente, Conrad J., Ritort, Félix, Spigler, Renato

Journal:

Review of Modern Physics

Year:

2005

Language:

english

File:

PDF, 576 KB

english, 2005

2

An ADI Method for the Numerical Solution of 3D Fractional Reaction-Diffusion Equations

Concezzi, Moreno, Spigler, Renato

Journal:

Fractal and Fractional

Year:

2020

File:

PDF, 1.44 MB

2020

3

Liouville–Green–Olver Approximations for Complex Difference Equations

Renato Spigler, Marco Vianello, Francesca Locatelli

Journal:

Journal of Approximation Theory

Year:

1999

Language:

english

File:

PDF, 184 KB

english, 1999

4

Numerical simulation for degenerate diffusions

Journal:

Applied Numerical Mathematics

Year:

1990

Language:

english

File:

PDF, 582 KB

english, 1990

5

Monte Carlo-type simulation for solving stochastic ordinary differential equations

Journal:

Mathematics and Computers in Simulation

Year:

1987

Language:

english

File:

PDF, 733 KB

english, 1987

6

Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators

Luis L. Bonilla, John C. Neu, Renato Spigler

Journal:

Journal of Statistical Physics

Year:

1992

Language:

english

File:

PDF, 687 KB

english, 1992

7

Convergence and stability of implicit runge-kutta methods for systems with multiplicative noise

Diego Bricio Hernandez, Renato Spigler

Journal:

BIT Numerical Mathematics

Year:

1993

Language:

english

File:

PDF, 964 KB

english, 1993

8

A-stability of Runge-Kutta methods for systems with additive noise

Diego Bricio Hernandez, Renato Spigler

Journal:

BIT Numerical Mathematics

Year:

1992

Language:

english

File:

PDF, 804 KB

english, 1992

9

An application of group theory to matrices and to ordinary differential equations

Journal:

Linear Algebra and its Applications

Year:

1982

Language:

english

File:

PDF, 533 KB

english, 1982

10

Liouville–Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations

Renato Spigler, Marco Vianello

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 211 KB

english, 2007

11

Second Harmonics Effects in Random Duffing Oscillators

Acebrón, Juan A., Spigler, Renato

Journal:

SIAM Journal on Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 562 KB

english, 2005

12

A Stochastic Model for Nonlinear Oscillations of Duffing Type

Spigler, Renato

Journal:

SIAM Journal on Applied Mathematics

Year:

1985

Language:

english

File:

PDF, 1.26 MB

english, 1985

13

Discrete and Continuous Liouville–Green–Olver Approximations: a Unified Treatment via Volterra–Stieltjes Integral Equations

Spigler, Renato, Vianello, Marco

Journal:

SIAM Journal on Mathematical Analysis

Year:

1994

Language:

english

File:

PDF, 1.24 MB

english, 1994

14

Approximation results for neural network operators activated by sigmoidal functions

Costarelli, Danilo, Spigler, Renato

Journal:

Neural Networks

Year:

2013

Language:

english

File:

PDF, 237 KB

english, 2013

15

Multivariate neural network operators with sigmoidal activation functions

Costarelli, Danilo, Spigler, Renato

Journal:

Neural Networks

Year:

2013

Language:

english

File:

PDF, 397 KB

english, 2013

16

A Stochastic Model for Nonlinear Oscillators of Duffing Type

Journal:

SIAM Journal on Applied Mathematics

Year:

1985

Language:

english

File:

PDF, 1.35 MB

english, 1985

17

Second Harmonics Effects in Random Duffing Oscillators

Juan A. Acebrón and Renato Spigler

Journal:

SIAM Journal on Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 681 KB

english, 2005

18

Convergence analysis of the semi-implicit euler method for abstract evolution equations

Spigler, Renato, Vianello, Marco

Journal:

Numerical Functional Analysis and Optimization

Year:

1995

Language:

english

File:

PDF, 1.76 MB

english, 1995

19

NUMERICAL SOLUTION OF THE KURAMOTO–SAKAGUCHI EQUATION GOVERNING POPULATIONS OF COUPLED OSCILLATORS

SARTORETTO, FLAVIO, SPIGLER, RENATO, VICENTE, CONRADO J. PÉREZ

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

1998

Language:

english

File:

PDF, 1.68 MB

english, 1998

20

How sharp is the Jensen inequality?

Costarelli, Danilo, Spigler, Renato

Journal:

Journal of Inequalities and Applications

Year:

2015

Language:

english

File:

PDF, 913 KB

english, 2015

21

Applied and Industrial Mathematics || Theory and Application of Steklov-Poincaré Operators for Boundary-Value Problems

Spigler, Renato

Year:

1990

Language:

english

File:

PDF, 1.85 MB

english, 1990

22

E3033

M. McAsey, L. A. Rubel, Vania D. Mascioni and Renato Spigler

Journal:

American Mathematical Monthly

Year:

1986

Language:

english

File:

PDF, 249 KB

english, 1986

23

The Magic Mirror Property of the Cube Corner

Juan A. Acebrón and Renato Spigler

Journal:

Mathematics Magazine

Year:

2005

Language:

english

File:

PDF, 445 KB

english, 2005

24

Finite Moments Perturbations of y" = 0 in Banach Algebras

Renato Spigler and Marco Vianello

Journal:

Proceedings of the American Mathematical Society

Year:

1993

Language:

english

File:

PDF, 216 KB

english, 1993

25

WKB-Type Approximations for Second-Order Differential Equations in C*-Algebras

Renato Spigler and Marco Vianello

Journal:

Proceedings of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 245 KB

english, 1996

26

10.1090/s0002-9939-96-03369-2

Spigler, Renato, Vianello, Marco

Journal:

Proceedings of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 269 KB

english, 1996

27

Wave propagation in one‐dimensional inhomogeneous random media with an application to lower hybrid waves in fusion plasmas

Spigler, Renato, Grossmann, William

Journal:

Physics of Fluids B Plasma Physics

Year:

1990

File:

PDF, 1.98 MB

1990

28

Liouville–Green (WKB) asymptotics for almost-diagonal linear second-order matrix difference equations

Cepale, Matteo, Spigler, Renato

Journal:

Journal of Difference Equations and Applications

Year:

2017

Language:

english

File:

PDF, 2.38 MB

english, 2017

29

Comparing Cattaneo and Fractional Derivative Models for Heat Transfer Processes

Ferrillo, Francesca, Spigler, Renato, Concezzi, Moreno

Journal:

SIAM Journal on Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 806 KB

english, 2018

30

Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method

Spigler, Renato

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 1.18 MB

english, 2018

31

Numerical treatment of degenerate diffusion equations via Feller's boundary classification, and applications

Emanuela Cacio, Stephen E. Cohn, Renato Spigler

Journal:

Numerical Methods for Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 625 KB

english, 2012

32

Numerical simulation for certain stochastic ordinary differential equations

Journal:

Journal of Computational Physics

Year:

1988

Language:

english

File:

PDF, 817 KB

english, 1988

33

Numerical treatment of a boundary-value problem for a certain singular parabolic partial differential equation

Journal:

Journal of Computational Physics

Year:

1988

Language:

english

File:

PDF, 525 KB

english, 1988

34

The linear differential equation whose solutions are the products of solutions of two given differential equations

Journal:

Journal of Mathematical Analysis and Applications

Year:

1984

Language:

english

File:

PDF, 832 KB

english, 1984

35

WKBJ-type approximation for finite moments perturbations of the differential equation y″ = 0 and the analogous difference equation

Renato Spigler, Marco Vianello

Journal:

Journal of Mathematical Analysis and Applications

Year:

1992

Language:

english

File:

PDF, 624 KB

english, 1992

36

Improved estimates for the derivatives of the O-symbols in view of numerical applications

Renato Spigler, Marco Vianello

Journal:

Journal of Mathematical Analysis and Applications

Year:

1992

Language:

english

File:

PDF, 368 KB

english, 1992

37

A behavior-oriented model for long-term coastal profile evolution: Validation, identification, and prediction

Alexander V. Avdeev, Eldar V. Goriounov, Mikhail M. Lavrentiev Jr., Renato Spigler

Journal:

Applied Mathematical Modelling

Year:

2009

Language:

english

File:

PDF, 1.46 MB

english, 2009

38

Probabilistically induced domain decomposition methods for elliptic boundary-value problems

Juan A. Acebrón, Maria Pia Busico, Piero Lanucara, Renato Spigler

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 549 KB

english, 2005

39

Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees

Juan A. Acebrón, Ángel Rodríguez-Rozas, Renato Spigler

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 646 KB

english, 2009

40

Numerical solution of certain classes of transport equations in any dimension by Shannon sampling

Romina Gobbi, Silvia Palpacelli, Renato Spigler

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 1.04 MB

english, 2010

41

Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data

Denis R. Akhmetov, Renato Spigler

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 310 KB

english, 2006

42

Asymptotic approximations for second-order linear difference equations in Banach algebras, I

Tania Soldà, Renato Spigler, Marco Vianello

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 168 KB

english, 2008

43

Asymptotic approximations for second-order linear difference equations in Banach algebras, II

Tania Soldà, Renato Spigler, Marco Vianello

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 217 KB

english, 2008

44

Asymptotic analysis and reaction-diffusion approximation forBGKkinetic models of chemical processes in multispecies gas mixtures

Renato Spigler, Damián H. Zanette

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

1993

Language:

english

File:

PDF, 781 KB

english, 1993

45

Book reviews

Ettore Funaioli, Carlo Cercignani, Renato Spigler, Giulio Maier, Ugo Andreaus, Piero Pozzati, Giovanni Frosali

Journal:

Year:

1993

Language:

english

File:

PDF, 479 KB

english, 1993

46

Nonlinear parametric oscillations in certain stochastic systems: A random van der Pol oscillator

Journal:

Journal of Statistical Physics

Year:

1985

Language:

english

File:

PDF, 875 KB

english, 1985

47

A fully scalable algorithm suited for petascale computing and

Juan A. Acebrón, Ángel Rodríguez-Rozas, Renato Spigler

Journal:

Computer Science - Research and Development

Year:

2010

Language:

english

File:

PDF, 437 KB

english, 2010

48

Efficient Parallel Solution of Nonlinear Parabolic Partial Differential Equations by a Probabilistic Domain Decomposition

Juan A. Acebrón, Ángel Rodríguez-Rozas, Renato Spigler

Journal:

Journal of Scientific Computing

Year:

2010

Language:

english

File:

PDF, 900 KB

english, 2010

49

The Fractional Fourier Transform in the Analysis and Synthesis of Fiber Bragg Gratings

Enrico Mazzetto, Carlo G. Someda, Juan A. Acebrón, Renato Spigler

Journal:

Optical and Quantum Electronics

Year:

2005

Language:

english

File:

PDF, 316 KB

english, 2005

50

Supercomputing applications to the numerical modeling of industrial and applied mathematics problems

Juan A. Acebrón, Renato Spigler

Journal:

The Journal of Supercomputing

Year:

2007

Language:

english

File:

PDF, 412 KB

english, 2007

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