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Author ID: spigler.renato Recent zbMATH articles by "Spigler, Renato"
Published as: Spigler, Renato; Spigler, R.
Homepage: http://ricerca.matfis.uniroma3.it/users/spigler/
External Links: MGP · ORCID · ResearchGate
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Serials

10 Journal of Mathematical Analysis and Applications
7 Journal of Computational Physics
5 Differential and Integral Equations
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 SIAM Journal on Applied Mathematics
3 BIT
3 Applied Mathematical Modelling
3 Atti del Seminario Matematico e Fisico dell’Università di Modena
3 SIAM Journal on Mathematical Analysis
3 Fractional Calculus & Applied Analysis
3 Archimede
2 Journal of Statistical Physics
2 Mathematics Magazine
2 Journal of Approximation Theory
2 Journal of Computational and Applied Mathematics
2 Proceedings of the American Mathematical Society
2 Rendiconti del Seminario Matematico della Università di Padova
2 Sibirskiĭ Matematicheskiĭ Zhurnal
2 Physica D
2 Asymptotic Analysis
2 Journal of Integral Equations and Applications
2 Neural Networks
2 Computational and Applied Mathematics
2 Series on Advances in Mathematics for Applied Sciences
2 Communications in Applied and Industrial Mathematics
1 American Mathematical Monthly
1 Applicable Analysis
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Physics of Fluids
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Archivum Mathematicum
1 Canadian Mathematical Bulletin
1 Computing
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Studies in Applied Mathematics
1 Rendiconti del Seminario Matematico
1 Applied Numerical Mathematics
1 Journal of Scientific Computing
1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali
1 Linear Algebra and its Applications
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Tatra Mountains Mathematical Publications
1 SIAM Journal on Scientific Computing
1 Electronic Journal of Differential Equations (EJDE)
1 Numerical Linear Algebra with Applications
1 Journal of Inverse and Ill-Posed Problems
1 Methods and Applications of Analysis
1 Journal of Difference Equations and Applications
1 Vychislitel’nye Tekhnologii
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Mathematical Inequalities & Applications
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura
1 Journal of Evolution Equations
1 Communications on Pure and Applied Analysis
1 Analysis in Theory and Applications
1 Advances in Difference Equations
1 Mathematics and its Applications (Dordrecht)
1 Proceedings of Symposia in Applied Mathematics
1 Communications in Computational Physics
1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 685 times in 384 Documents Cited by Year
Approximation results for neural network operators activated by sigmoidal functions. Zbl 1296.41017
Costarelli, Danilo; Spigler, Renato
47
2013
Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators. Zbl 0925.82176
Bonilla, Luis L.; Neu, John C.; Spigler, Renato
46
1992
Multivariate neural network operators with sigmoidal activation functions. Zbl 1297.41006
Costarelli, Danilo; Spigler, Renato
36
2013
Convergence of a family of neural network operators of the Kantorovich type. Zbl 1297.41003
Costarelli, Danilo; Spigler, Renato
32
2014
Solving Volterra integral equations of the second kind by sigmoidal functions approximation. Zbl 1285.65086
Costarelli, Danilo; Spigler, Renato
30
2013
A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions. Zbl 1288.65185
Costarelli, Danilo; Spigler, Renato
28
2014
Constructive approximation by superposition of sigmoidal functions. Zbl 1299.41033
Costarelli, Danilo; Spigler, Renato
27
2013
\(A\)-stability of Runge-Kutta methods for systems with additive noise. Zbl 0755.65084
Hernandez, Diego Bricio; Spigler, Renato
22
1992
Domain decomposition solution of elliptic boundary-value problems via Monte Carlo and quasi-Monte Carlo methods. Zbl 1091.65002
Acebrón, Juan A.; Busico, Maria Pia; Lanucara, Piero; Spigler, Renato
22
2005
Approximation by series of sigmoidal functions with applications to neural networks. Zbl 1321.41021
Costarelli, Danilo; Spigler, Renato
22
2015
Convergence and stability of implicit Runge-Kutta methods for systems with multiplicative noise. Zbl 0789.65101
Hernandez, Diego Bricio; Spigler, Renato
21
1993
How sharp is the Jensen inequality? Zbl 1309.26014
Costarelli, Danilo; Spigler, Renato
18
2015
Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees. Zbl 1168.65385
Acebrón, Juan A.; Rodríguez-Rozas, ángel; Spigler, Renato
17
2009
Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions. Zbl 0935.34031
Bonilla, L. L.; Pérez Vicente, C. J.; Spigler, R.
14
1998
Inequalities and numerical bounds for zeros of ultraspherical polynomials. Zbl 0597.33012
Ahmed, Shafique; Muldoon, Martin E.; Spigler, Renato
13
1986
Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition. Zbl 1203.65172
Acebrón, Juan A.; Rodríguez-Rozas, Ángel; Spigler, Renato
11
2010
Some analytical and numerical properties of the Mittag-Leffler functions. Zbl 1312.33057
Concezzi, Moreno; Spigler, Renato
10
2015
Liouville-Green approximations for a class of linear oscillatory difference equations of the second order. Zbl 0749.39001
Spigler, Renato; Vianello, Marco
9
1992
WKBJ-type approximation for finite moments perturbations of the differential equation \(y\)”=\(0\) and the analogous difference equation. Zbl 0757.34045
Spigler, Renato; Vianello, Marco
9
1992
Existence and uniqueness of solutions to the Kuramoto-Sakaguchi nonlinear parabolic integrodifferential equation. Zbl 0997.35029
Lavrentiev, Mikhail M. jun.; Spigler, Renato
9
2000
Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation. Zbl 1395.65115
Costarelli, Danilo; Spigler, Renato
9
2018
A numerical method for evaluating zeros of solutions of second-order linear differential equations. Zbl 0676.65041
Spigler, Renato; Vianello, Marco
8
1990
Singular perturbations for certain partial differential equations without boundary-layers. Zbl 1043.35023
Akhmetov, Denis R.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
8
2003
Probabilistically induced domain decomposition methods for elliptic boundary-value problems. Zbl 1113.65116
Acebrón, Juan A.; Busico, Maria Pia; Lanucara, Piero; Spigler, Renato
8
2005
Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011
Concezzi, Moreno; Garra, Roberto; Spigler, Renato
8
2015
The “phase function” method to solve second-order asymptotically polynomial differential equations. Zbl 1256.65080
Spigler, Renato; Vianello, Marco
8
2012
Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation. Zbl 0978.65123
Acebrón, Juan A.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
7
2001
A survey on the Liouville-Green (WKB) approximation for linear difference equation of the second order. Zbl 0892.39018
Spigler, Renato; Vianello, Marco
7
1997
Sulle radici dell’equazione: \(AJ_\nu(x)+BxJ'_\nu(x)=0\). Zbl 0356.33006
Spigler, R.
7
1976
Reaction-diffusion models from the Fokker-Planck formulation of chemical processes. Zbl 0766.35021
Spigler, Renato; Zanette, Damián H.
6
1992
Comparing Cattaneo and fractional derivative models for heat transfer processes. Zbl 1394.80004
Ferrillo, Francesca; Spigler, Renato; Concezzi, Moreno
6
2018
Convergence analysis of the semi-implicit Euler method for abstract evolution equations. Zbl 0827.65061
Spigler, Renato; Vianello, Marco
5
1995
Discrete and continuous Liouville-Green-Olver approximations: A unified treatment via Volterra-Stieltjes integral equations. Zbl 0791.39006
Spigler, Renato; Vianello, Marco
5
1994
Cesàro’s theorems for complex sequences. Zbl 0795.40002
Spigler, Renato; Vianello, Marco
5
1993
Finite moments perturbations of \(y''=0\) in Banach algebras. Zbl 0779.34052
Spigler, Renato; Vianello, Marco
5
1993
A BGK model for chemical processes: The reaction-diffusion approximation. Zbl 0814.92024
Spigler, Renato; Zanette, Damián H.
5
1994
Singular perturbations for parabolic equations with unbounded coefficients leading to ultraparabolic equations. Zbl 1164.35312
Akhmetov, Denis R.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
5
2004
A stochastic model for nonlinear oscillators of Duffing type. Zbl 0574.60063
Spigler, Renato
5
1985
Some remarks on zeros of cylinder functions. Zbl 0507.33003
Muldoon, M. E.; Spigler, R.
5
1984
Sulle radici dell’equazione: \(A\mathcal C_\nu (x)+Bx\mathcal C_\nu^\prime (x)=0\). Zbl 0421.33008
Spigler, R.
5
1978
WKB-type approximations for second-order differential equations in \(C^*\)-algebras. Zbl 0852.34059
Spigler, Renato; Vianello, Marco
4
1996
Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum. Zbl 0881.33008
Spigler, Renato; Vianello, Marco
4
1996
Nonlinear parametric oscillations in certain stochastic systems: A random van der Pol oscillator. Zbl 0654.60042
Spigler, Renato
4
1985
Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations. Zbl 1011.35068
Akhmetov, Denis R.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
4
2002
Asymptotic analysis and reaction-diffusion approximation for \(BGK\) kinetic models of chemical processes in multispecies gas mixtures. Zbl 0784.76108
Spigler, Renato; Zanette, Damián H.
4
1993
Numerical treatment of a nonlinear nonlocal transport equation modeling crystal precipitation. Zbl 1156.82021
Gobbi, Romina; Palpacelli, Silvia; Spigler, Renato
4
2008
More around Cattaneo equation to describe heat transfer processes. Zbl 1455.80005
Spigler, Renato
4
2020
Validating the diffusion model for long-term coastal profile evolution. Zbl 1070.86005
Avdeev, A. V.; Goriounov, E. V.; Lavrentiev, M. M. jun.; Spigler, R.
3
2004
Uniform and optimal estimates for solutions to singularly perturbed parabolic equations. Zbl 1130.35009
Akhmetov, D. R.; Spigler, R.
3
2007
Liouville-Green-Olver approximations for complex difference equations. Zbl 0918.39002
Spigler, Renato; Vianello, Marco; Locatelli, Francesca
3
1999
An application of group theory to matrices and to ordinary differential equations. Zbl 0479.34002
Spigler, Renato
3
1982
Alcuni risultati sugli zeri delle funzioni cilindriche e delle loro derivate. Zbl 0458.33006
Spigler, Renato
3
1980
On the monotonic variation of the zeros of ultraspherical polynomials with the parameter. Zbl 0517.33005
Spigler, Renato
3
1984
A behavior-oriented model for long-term coastal profile evolution: validation, identification, and prediction. Zbl 1205.76183
Avdeev, Alexander V.; Goriounov, Eldar V.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
3
2009
Asymptotic approximations for second-order linear difference equations in Banach algebras. I. Zbl 1138.39015
Soldà, Tania; Spigler, Renato; Vianello, Marco
3
2008
Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations. Zbl 1119.34004
Spigler, Renato; Vianello, Marco
3
2007
Liouville-Green asymptotic for almost-diagonal second-order matrix differential equations. Zbl 1126.34008
Spigler, Renato; Vianello, Marco
3
2006
On approximation of inverse problems for abstract hyperbolic equations. Zbl 1410.65232
Orlovsky, Dmitry; Piskarev, Sergey; Spigler, Renato
3
2010
Global existence and uniqueness for the Kummer transformation problem subject to non-Cauchy data. Zbl 0743.34043
Spigler, Renato; Vianello, Marco
2
1991
Boundary-layer theory in the Kramers-Smoluchowski limit for the Fokker- Planck equation on a half-space. Zbl 0637.76072
Spigler, Renato
2
1987
The diffusion model for long-term coastal profile evolution: numerical validating. Zbl 1036.65077
Avdeev, A. V.; Goryunov, E. V.; Lavrentiev, M. M.; Spigler, Renato
2
2003
Regularizing a nonlinear integroparabolic Fokker–Planck equation with space-periodic solutions: existence of strong solutions. Zbl 0983.35075
Lavrent’ev, M. M. jun.; Spigler, R.; Akhmetov, D. R.
2
2001
Improved estimates for the derivatives of the \(O\)-symbols in view of numerical applications. Zbl 0770.41025
Spigler, Renato; Vianello, Marco
2
1992
Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws. Zbl 1349.65544
Costarelli, Danilo; Laurenzi, Matteo; Spigler, Renato
2
2013
Mean power reflection from a one-dimensional nonlinear random medium. Zbl 0592.73001
Spigler, Renato
2
1986
A stochastic model for lower hybrid wave scattering by density fluctuations. Zbl 0588.76201
Grossmann, William; Spigler, Renato
2
1985
On the numerical solution of a nonlinear stochastic Helmholtz equation with a multigrid preconditioner. Zbl 0622.65147
Jordan, Kirk E.; Papanicolaou, George C.; Spigler, R.
2
1986
Numerical simulation for certain stochastic ordinary differential equations. Zbl 0602.65055
Spigler, Renato
2
1988
Numerical treatment of a boundary-value problem for a certain singular parabolic partial differential equation. Zbl 0602.65069
Spigler, Renato
2
1988
Monte Carlo-type simulation for solving stochastic ordinary differential equations. Zbl 0597.65068
Spigler, Renato
2
1987
Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method. Zbl 1404.65059
Spigler, Renato
2
2018
Numerical solution of two-dimensional fractional diffusion equations by a high-order ADI method. Zbl 1329.65179
Concezzi, Moreno; Spigler, Renato
2
2012
Computing expansion coefficients in orthogonal bases of ultraspherical polynomials. Zbl 0827.65021
Sartoretto, F.; Spigler, R.
1
1994
A variant of the complex Liouville-Green approximation theorem. Zbl 1058.34128
Spigler, Renato; Vianello, Marco
1
2000
Fast simulations of stochastic dynamical systems. Zbl 1073.65007
Acebrón, Juan A.; Spigler, Renato
1
2005
Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators. Zbl 0961.34025
Acebrón, J. A.; Spigler, R.
1
2000
Approximating zeros of solutions of second-order linear ODEs by “phase function” methods. Zbl 0704.34006
Spigler, R.; Vianello, M.
1
1990
Abstract versions of l’Hôpital’s rule for holomorphic functions in the framework of complex \(B\)-modules. Zbl 0792.30036
Spigler, Renato; Vianello, Marco
1
1993
Extending l’Hôpital’s theorem to \(B\)-modules. Zbl 0794.46035
Spigler, Renato; Vianello, Marco
1
1993
Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data. Zbl 1107.35054
Akhmetov, Denis R.; Spigler, Renato
1
2006
Asymptotic approximations for second-order linear difference equations in Banach algebras. II. Zbl 1153.39306
Soldà, Tania; Spigler, Renato; Vianello, Marco
1
2008
Nonlinear integroparabolic equations on unbounded domains: existence of classical solutions with special properties. Zbl 0977.35065
Lavrent’ev, M. M.; Spigler, R.; Akhmetov, D. R.
1
2001
Numerical solution of the Kuramoto-Sakaguchi equation governing populations of coupled oscillators. Zbl 0939.65145
Sartoretto, Flavio; Spigler, Renato; Pérez Vicente, Conrado J.
1
1998
Liouville-Green approximations for a class of linear oscillatory difference equations of the second order. Zbl 0726.39002
Spigler, Renato; Vianello, Marco
1
1992
An algorithm for the one-phase Stefan problem. Zbl 0476.35084
DiBenedetto, E.; Spigler, R.
1
1983
The linear differential equation whose solutions are the products of solutions of two given differential equations. Zbl 0476.34008
Spigler, Renato
1
1984
A boundary-layer theory for the nonlinear Fokker-Planck equation on the half-space. Zbl 0707.35129
Spigler, Renato
1
1988
La struttura delle relazioni ”molto maggiore” e ”molto minore” nel calcolo approssimato. Zbl 0406.06003
Spigler, R.
1
1980
\(L^1\)-estimates for the higher-order derivatives of solutions to parabolic equations subject to initial values of bounded total variation. Zbl 1140.35360
Akhmetov, Denis R.; Spigler, Renato
1
2007
Numerical solution of certain classes of transport equations in any dimension by Shannon sampling. Zbl 1187.65142
Gobbi, Romina; Palpacelli, Silvia; Spigler, Renato
1
2010
Errata: Numerical treatment of a nonlinear nonlocal transport equation modeling crystal precipitation. Zbl 1213.82084
Gobbi, Romina; Palpacelli, Silvia; Spigler, Renato
1
2010
Existence, uniqueness, and regularity for the Kuramoto-Sakaguchi equation with unboundedly supported frequency distribution. Zbl 1340.35166
Lavrentiev, Mikhail M. jun.; Spigler, Renato; Tani, Atusi
1
2014
Liouville-Green (WKB) asymptotics for almost-diagonal linear second-order matrix difference equations. Zbl 1386.39003
Cepale, Matteo; Spigler, Renato
1
2017
Singular perturbations of parabolic equations without boundary layers. Zbl 1252.35028
Akhmetov, Denis R.; Lavrentiev, Mikhail M.; Spigler, Renato
1
2011
Comparing Shannon to autocorrelation-based wavelets for solving singularly perturbed elliptic BV problems. Zbl 1243.65092
Gobbi, Romina; Spigler, Renato
1
2012
On the numerical solution of ill-conditioned linear systems by regularization and iteration. Zbl 07332749
Spigler, Renato
1
2021
The hyperbolic Schrödinger equation and the quantum lattice Boltzmann approximation. Zbl 1490.81072
Spigler, Renato
1
2022
Predicting coastal profiles evolution from a diffusion model based on real data. Zbl 1505.86020
Baramiya, Denis; Lavrentiev, Mikhail; Spigler, Renato
1
2022
The hyperbolic Schrödinger equation and the quantum lattice Boltzmann approximation. Zbl 1490.81072
Spigler, Renato
1
2022
Predicting coastal profiles evolution from a diffusion model based on real data. Zbl 1505.86020
Baramiya, Denis; Lavrentiev, Mikhail; Spigler, Renato
1
2022
On the numerical solution of ill-conditioned linear systems by regularization and iteration. Zbl 07332749
Spigler, Renato
1
2021
More around Cattaneo equation to describe heat transfer processes. Zbl 1455.80005
Spigler, Renato
4
2020
Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation. Zbl 1395.65115
Costarelli, Danilo; Spigler, Renato
9
2018
Comparing Cattaneo and fractional derivative models for heat transfer processes. Zbl 1394.80004
Ferrillo, Francesca; Spigler, Renato; Concezzi, Moreno
6
2018
Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method. Zbl 1404.65059
Spigler, Renato
2
2018
Liouville-Green (WKB) asymptotics for almost-diagonal linear second-order matrix difference equations. Zbl 1386.39003
Cepale, Matteo; Spigler, Renato
1
2017
Approximation by series of sigmoidal functions with applications to neural networks. Zbl 1321.41021
Costarelli, Danilo; Spigler, Renato
22
2015
How sharp is the Jensen inequality? Zbl 1309.26014
Costarelli, Danilo; Spigler, Renato
18
2015
Some analytical and numerical properties of the Mittag-Leffler functions. Zbl 1312.33057
Concezzi, Moreno; Spigler, Renato
10
2015
Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011
Concezzi, Moreno; Garra, Roberto; Spigler, Renato
8
2015
Convergence of a family of neural network operators of the Kantorovich type. Zbl 1297.41003
Costarelli, Danilo; Spigler, Renato
32
2014
A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions. Zbl 1288.65185
Costarelli, Danilo; Spigler, Renato
28
2014
Existence, uniqueness, and regularity for the Kuramoto-Sakaguchi equation with unboundedly supported frequency distribution. Zbl 1340.35166
Lavrentiev, Mikhail M. jun.; Spigler, Renato; Tani, Atusi
1
2014
Approximation results for neural network operators activated by sigmoidal functions. Zbl 1296.41017
Costarelli, Danilo; Spigler, Renato
47
2013
Multivariate neural network operators with sigmoidal activation functions. Zbl 1297.41006
Costarelli, Danilo; Spigler, Renato
36
2013
Solving Volterra integral equations of the second kind by sigmoidal functions approximation. Zbl 1285.65086
Costarelli, Danilo; Spigler, Renato
30
2013
Constructive approximation by superposition of sigmoidal functions. Zbl 1299.41033
Costarelli, Danilo; Spigler, Renato
27
2013
Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws. Zbl 1349.65544
Costarelli, Danilo; Laurenzi, Matteo; Spigler, Renato
2
2013
The “phase function” method to solve second-order asymptotically polynomial differential equations. Zbl 1256.65080
Spigler, Renato; Vianello, Marco
8
2012
Numerical solution of two-dimensional fractional diffusion equations by a high-order ADI method. Zbl 1329.65179
Concezzi, Moreno; Spigler, Renato
2
2012
Comparing Shannon to autocorrelation-based wavelets for solving singularly perturbed elliptic BV problems. Zbl 1243.65092
Gobbi, Romina; Spigler, Renato
1
2012
Singular perturbations of parabolic equations without boundary layers. Zbl 1252.35028
Akhmetov, Denis R.; Lavrentiev, Mikhail M.; Spigler, Renato
1
2011
Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition. Zbl 1203.65172
Acebrón, Juan A.; Rodríguez-Rozas, Ángel; Spigler, Renato
11
2010
On approximation of inverse problems for abstract hyperbolic equations. Zbl 1410.65232
Orlovsky, Dmitry; Piskarev, Sergey; Spigler, Renato
3
2010
Numerical solution of certain classes of transport equations in any dimension by Shannon sampling. Zbl 1187.65142
Gobbi, Romina; Palpacelli, Silvia; Spigler, Renato
1
2010
Errata: Numerical treatment of a nonlinear nonlocal transport equation modeling crystal precipitation. Zbl 1213.82084
Gobbi, Romina; Palpacelli, Silvia; Spigler, Renato
1
2010
Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees. Zbl 1168.65385
Acebrón, Juan A.; Rodríguez-Rozas, ángel; Spigler, Renato
17
2009
A behavior-oriented model for long-term coastal profile evolution: validation, identification, and prediction. Zbl 1205.76183
Avdeev, Alexander V.; Goriounov, Eldar V.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
3
2009
Numerical treatment of a nonlinear nonlocal transport equation modeling crystal precipitation. Zbl 1156.82021
Gobbi, Romina; Palpacelli, Silvia; Spigler, Renato
4
2008
Asymptotic approximations for second-order linear difference equations in Banach algebras. I. Zbl 1138.39015
Soldà, Tania; Spigler, Renato; Vianello, Marco
3
2008
Asymptotic approximations for second-order linear difference equations in Banach algebras. II. Zbl 1153.39306
Soldà, Tania; Spigler, Renato; Vianello, Marco
1
2008
Uniform and optimal estimates for solutions to singularly perturbed parabolic equations. Zbl 1130.35009
Akhmetov, D. R.; Spigler, R.
3
2007
Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations. Zbl 1119.34004
Spigler, Renato; Vianello, Marco
3
2007
\(L^1\)-estimates for the higher-order derivatives of solutions to parabolic equations subject to initial values of bounded total variation. Zbl 1140.35360
Akhmetov, Denis R.; Spigler, Renato
1
2007
Liouville-Green asymptotic for almost-diagonal second-order matrix differential equations. Zbl 1126.34008
Spigler, Renato; Vianello, Marco
3
2006
Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data. Zbl 1107.35054
Akhmetov, Denis R.; Spigler, Renato
1
2006
Domain decomposition solution of elliptic boundary-value problems via Monte Carlo and quasi-Monte Carlo methods. Zbl 1091.65002
Acebrón, Juan A.; Busico, Maria Pia; Lanucara, Piero; Spigler, Renato
22
2005
Probabilistically induced domain decomposition methods for elliptic boundary-value problems. Zbl 1113.65116
Acebrón, Juan A.; Busico, Maria Pia; Lanucara, Piero; Spigler, Renato
8
2005
Fast simulations of stochastic dynamical systems. Zbl 1073.65007
Acebrón, Juan A.; Spigler, Renato
1
2005
Singular perturbations for parabolic equations with unbounded coefficients leading to ultraparabolic equations. Zbl 1164.35312
Akhmetov, Denis R.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
5
2004
Validating the diffusion model for long-term coastal profile evolution. Zbl 1070.86005
Avdeev, A. V.; Goriounov, E. V.; Lavrentiev, M. M. jun.; Spigler, R.
3
2004
Singular perturbations for certain partial differential equations without boundary-layers. Zbl 1043.35023
Akhmetov, Denis R.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
8
2003
The diffusion model for long-term coastal profile evolution: numerical validating. Zbl 1036.65077
Avdeev, A. V.; Goryunov, E. V.; Lavrentiev, M. M.; Spigler, Renato
2
2003
Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations. Zbl 1011.35068
Akhmetov, Denis R.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
4
2002
Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation. Zbl 0978.65123
Acebrón, Juan A.; Lavrentiev, Mikhail M. jun.; Spigler, Renato
7
2001
Regularizing a nonlinear integroparabolic Fokker–Planck equation with space-periodic solutions: existence of strong solutions. Zbl 0983.35075
Lavrent’ev, M. M. jun.; Spigler, R.; Akhmetov, D. R.
2
2001
Nonlinear integroparabolic equations on unbounded domains: existence of classical solutions with special properties. Zbl 0977.35065
Lavrent’ev, M. M.; Spigler, R.; Akhmetov, D. R.
1
2001
Existence and uniqueness of solutions to the Kuramoto-Sakaguchi nonlinear parabolic integrodifferential equation. Zbl 0997.35029
Lavrentiev, Mikhail M. jun.; Spigler, Renato
9
2000
A variant of the complex Liouville-Green approximation theorem. Zbl 1058.34128
Spigler, Renato; Vianello, Marco
1
2000
Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators. Zbl 0961.34025
Acebrón, J. A.; Spigler, R.
1
2000
Liouville-Green-Olver approximations for complex difference equations. Zbl 0918.39002
Spigler, Renato; Vianello, Marco; Locatelli, Francesca
3
1999
Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions. Zbl 0935.34031
Bonilla, L. L.; Pérez Vicente, C. J.; Spigler, R.
14
1998
Numerical solution of the Kuramoto-Sakaguchi equation governing populations of coupled oscillators. Zbl 0939.65145
Sartoretto, Flavio; Spigler, Renato; Pérez Vicente, Conrado J.
1
1998
A survey on the Liouville-Green (WKB) approximation for linear difference equation of the second order. Zbl 0892.39018
Spigler, Renato; Vianello, Marco
7
1997
WKB-type approximations for second-order differential equations in \(C^*\)-algebras. Zbl 0852.34059
Spigler, Renato; Vianello, Marco
4
1996
Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum. Zbl 0881.33008
Spigler, Renato; Vianello, Marco
4
1996
Convergence analysis of the semi-implicit Euler method for abstract evolution equations. Zbl 0827.65061
Spigler, Renato; Vianello, Marco
5
1995
Discrete and continuous Liouville-Green-Olver approximations: A unified treatment via Volterra-Stieltjes integral equations. Zbl 0791.39006
Spigler, Renato; Vianello, Marco
5
1994
A BGK model for chemical processes: The reaction-diffusion approximation. Zbl 0814.92024
Spigler, Renato; Zanette, Damián H.
5
1994
Computing expansion coefficients in orthogonal bases of ultraspherical polynomials. Zbl 0827.65021
Sartoretto, F.; Spigler, R.
1
1994
Convergence and stability of implicit Runge-Kutta methods for systems with multiplicative noise. Zbl 0789.65101
Hernandez, Diego Bricio; Spigler, Renato
21
1993
Cesàro’s theorems for complex sequences. Zbl 0795.40002
Spigler, Renato; Vianello, Marco
5
1993
Finite moments perturbations of \(y''=0\) in Banach algebras. Zbl 0779.34052
Spigler, Renato; Vianello, Marco
5
1993
Asymptotic analysis and reaction-diffusion approximation for \(BGK\) kinetic models of chemical processes in multispecies gas mixtures. Zbl 0784.76108
Spigler, Renato; Zanette, Damián H.
4
1993
Abstract versions of l’Hôpital’s rule for holomorphic functions in the framework of complex \(B\)-modules. Zbl 0792.30036
Spigler, Renato; Vianello, Marco
1
1993
Extending l’Hôpital’s theorem to \(B\)-modules. Zbl 0794.46035
Spigler, Renato; Vianello, Marco
1
1993
Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators. Zbl 0925.82176
Bonilla, Luis L.; Neu, John C.; Spigler, Renato
46
1992
\(A\)-stability of Runge-Kutta methods for systems with additive noise. Zbl 0755.65084
Hernandez, Diego Bricio; Spigler, Renato
22
1992
Liouville-Green approximations for a class of linear oscillatory difference equations of the second order. Zbl 0749.39001
Spigler, Renato; Vianello, Marco
9
1992
WKBJ-type approximation for finite moments perturbations of the differential equation \(y\)”=\(0\) and the analogous difference equation. Zbl 0757.34045
Spigler, Renato; Vianello, Marco
9
1992
Reaction-diffusion models from the Fokker-Planck formulation of chemical processes. Zbl 0766.35021
Spigler, Renato; Zanette, Damián H.
6
1992
Improved estimates for the derivatives of the \(O\)-symbols in view of numerical applications. Zbl 0770.41025
Spigler, Renato; Vianello, Marco
2
1992
Liouville-Green approximations for a class of linear oscillatory difference equations of the second order. Zbl 0726.39002
Spigler, Renato; Vianello, Marco
1
1992
Global existence and uniqueness for the Kummer transformation problem subject to non-Cauchy data. Zbl 0743.34043
Spigler, Renato; Vianello, Marco
2
1991
A numerical method for evaluating zeros of solutions of second-order linear differential equations. Zbl 0676.65041
Spigler, Renato; Vianello, Marco
8
1990
Approximating zeros of solutions of second-order linear ODEs by “phase function” methods. Zbl 0704.34006
Spigler, R.; Vianello, M.
1
1990
Numerical simulation for certain stochastic ordinary differential equations. Zbl 0602.65055
Spigler, Renato
2
1988
Numerical treatment of a boundary-value problem for a certain singular parabolic partial differential equation. Zbl 0602.65069
Spigler, Renato
2
1988
A boundary-layer theory for the nonlinear Fokker-Planck equation on the half-space. Zbl 0707.35129
Spigler, Renato
1
1988
Boundary-layer theory in the Kramers-Smoluchowski limit for the Fokker- Planck equation on a half-space. Zbl 0637.76072
Spigler, Renato
2
1987
Monte Carlo-type simulation for solving stochastic ordinary differential equations. Zbl 0597.65068
Spigler, Renato
2
1987
Inequalities and numerical bounds for zeros of ultraspherical polynomials. Zbl 0597.33012
Ahmed, Shafique; Muldoon, Martin E.; Spigler, Renato
13
1986
Mean power reflection from a one-dimensional nonlinear random medium. Zbl 0592.73001
Spigler, Renato
2
1986
On the numerical solution of a nonlinear stochastic Helmholtz equation with a multigrid preconditioner. Zbl 0622.65147
Jordan, Kirk E.; Papanicolaou, George C.; Spigler, R.
2
1986
A stochastic model for nonlinear oscillators of Duffing type. Zbl 0574.60063
Spigler, Renato
5
1985
Nonlinear parametric oscillations in certain stochastic systems: A random van der Pol oscillator. Zbl 0654.60042
Spigler, Renato
4
1985
A stochastic model for lower hybrid wave scattering by density fluctuations. Zbl 0588.76201
Grossmann, William; Spigler, Renato
2
1985
Some remarks on zeros of cylinder functions. Zbl 0507.33003
Muldoon, M. E.; Spigler, R.
5
1984
On the monotonic variation of the zeros of ultraspherical polynomials with the parameter. Zbl 0517.33005
Spigler, Renato
3
1984
The linear differential equation whose solutions are the products of solutions of two given differential equations. Zbl 0476.34008
Spigler, Renato
1
1984
An algorithm for the one-phase Stefan problem. Zbl 0476.35084
DiBenedetto, E.; Spigler, R.
1
1983
An application of group theory to matrices and to ordinary differential equations. Zbl 0479.34002
Spigler, Renato
3
1982
Alcuni risultati sugli zeri delle funzioni cilindriche e delle loro derivate. Zbl 0458.33006
Spigler, Renato
3
1980
La struttura delle relazioni ”molto maggiore” e ”molto minore” nel calcolo approssimato. Zbl 0406.06003
Spigler, R.
1
1980
Sulle radici dell’equazione: \(A\mathcal C_\nu (x)+Bx\mathcal C_\nu^\prime (x)=0\). Zbl 0421.33008
Spigler, R.
5
1978
Sulle radici dell’equazione: \(AJ_\nu(x)+BxJ'_\nu(x)=0\). Zbl 0356.33006
Spigler, R.
7
1976
all top 5

Cited by 522 Authors

45 Spigler, Renato
39 Costarelli, Danilo
23 Vinti, Gianluca
14 Acebrón, Juan A.
14 Ha, Seung-Yeal
10 Vianello, Marco
8 Anastassiou, George Angelos
7 Bremer, James C.
6 Dimitrov, Dimitar K.
5 Lavrent’ev, Mikhail Mikhaĭlovich jun.
5 Rodríguez-Rozas, ángel
5 Yu, Dansheng
4 Bernal, Francisco
4 Coroianu, Lucian C.
4 Elbert, Árpád
4 Frank, Till Daniel
4 Haynes, Ronald D.
4 Ismailov, Vugar E.
4 Kadak, Ugur
4 Laforgia, Andrea
4 Li, Zhuchun
4 Mendes, Rui Vilela
4 Mo, Jiaqi
4 Park, Jinyeong
4 Rafaeli, Fernando Rodrigo
4 Schurz, Henri
4 Siafarikas, Panayiotis D.
3 Abdi, Ali
3 Bihlo, Alexander
3 Bonilla, Luis Lopez
3 Cao, Feilong
3 Fermo, Luisa
3 Gal, Sorin Gheorghe
3 Hojjati, Gholamreza
3 Kerimov, Movlud Kerimovich
3 Kim, Yongduck
3 Kyurkchiev, Nikolaĭ Veselinov
3 Occorsio, Donatella
3 Rokhlin, Vladimir
3 Senosiain, M. J.
3 Tatar, Nasser-eddine
2 Abukhaled, Marwan I.
2 Akhmetov, Denis R.
2 Azevedo, Juarez S.
2 Bajpeyi, Shivam
2 Baramiya, Denis
2 Bellour, Azzeddine
2 Boccaletti, Stefano
2 Bongarti, Marcelo
2 Casarino, Valentina
2 Castillo, Kenier
2 Çetin, Nursel
2 Chen, Shaozhu
2 Chen, Zhixiang
2 Choi, Young-Pil
2 Ciatti, Paolo
2 de la Cruz Cancino, H.
2 Debrabant, Kristian
2 Desvillettes, Laurent
2 Duman, Oktay
2 Garra, Roberto
2 Garrappa, Roberto
2 Gobbi, Romina
2 Goebbels, Steffen J.
2 Guliyev, Namig Jamiyyat oglu
2 Hahm, N. W.
2 Heitman, Zhu
2 Hernandez, Diego Bricio
2 Hosseini, Seyed Mohammad
2 Jimenez, Juan Carlos
2 Khan, Muhammad Adil
2 Kim, Hwa Kil
2 Kozhanov, Aleksandr Ivanovich
2 Kurths, Jürgen
2 Lasiecka, Irena
2 Lee, Jaeseung
2 Macías-Díaz, Jorge Eduardo
2 Markov, Svetoslav Marinovich
2 Martini, Alessio
2 Messina, Eleonora
2 Palpacelli, Silvia
2 Perdigão Dias da Silva, José António
2 Pérez Vicente, Conrado J.
2 Piskarëv, S. I.
2 Platen, Eckhard
2 Qian, Yunyou
2 Ritort, Felix
2 Ryoo, Seung-Yeon
2 Sambucini, Anna Rita
2 Shim, Woojoo
2 Siegel, Jonathan W.
2 Soldà, Tania
2 Vecchio, Antonia
2 Vilelamendes, R.
2 Wang, Guoshun
2 Wang, Zhen
2 Xiao, Qinghua
2 Xu, Jinchao
2 Zhang, Yinglong
1 Abbaoui, Lyazid
...and 422 more Authors
all top 5

Cited in 149 Serials

23 Journal of Computational and Applied Mathematics
18 Journal of Mathematical Analysis and Applications
16 Physica D
11 Journal of Computational Physics
11 Neural Networks
10 Applied Mathematics and Computation
10 Journal of Approximation Theory
8 Computers & Mathematics with Applications
8 Results in Mathematics
8 Applied Numerical Mathematics
7 Fractional Calculus & Applied Analysis
6 Journal of Statistical Physics
6 Computational and Applied Mathematics
5 BIT
5 Journal of Differential Equations
5 Analysis and Applications (Singapore)
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Chaos, Solitons and Fractals
4 Mathematics and Computers in Simulation
4 Numerical Functional Analysis and Optimization
4 Stochastic Analysis and Applications
4 Journal of Scientific Computing
4 Journal of Integral Equations and Applications
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Applied Mathematical Modelling
4 International Journal of Computer Mathematics
4 Applied and Computational Harmonic Analysis
4 Chaos
4 Mediterranean Journal of Mathematics
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Mathematical Methods in the Applied Sciences
3 Mathematical and Computer Modelling
3 Computational Mathematics and Mathematical Physics
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Applied Mathematics. Series B (English Edition)
3 Journal of Inequalities and Applications
3 Communications in Nonlinear Science and Numerical Simulation
3 Advances in Difference Equations
3 Journal of Function Spaces
2 Analysis Mathematica
2 Applicable Analysis
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Mathematical Physics
2 Physics Reports
2 Mathematics of Computation
2 Mathematische Nachrichten
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Ricerche di Matematica
2 European Journal of Applied Mathematics
2 Numerical Algorithms
2 Linear Algebra and its Applications
2 SIAM Journal on Scientific Computing
2 Doklady Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Stochastics and Dynamics
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Analysis and Applications
2 Journal of Statistical Mechanics: Theory and Experiment
2 Stochastics
2 Complex Variables and Elliptic Equations
2 Networks and Heterogeneous Media
2 Discrete and Continuous Dynamical Systems. Series S
2 Analysis and Mathematical Physics
2 Constructive Mathematical Analysis
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 Information Processing Letters
1 Journal of Mathematical Biology
1 Physica A
1 Physics Letters. A
1 Transport Theory and Statistical Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Computing
1 Czechoslovak Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Journal of Algebra
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Semigroup Forum
1 Siberian Mathematical Journal
1 European Journal of Combinatorics
1 Ergodic Theory and Dynamical Systems
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Applied Mathematics Letters
1 Neural Computation
1 Economics Letters
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Computational Optimization and Applications
1 Applicationes Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Random Operators and Stochastic Equations
...and 49 more Serials
all top 5

Cited in 45 Fields

134 Numerical analysis (65-XX)
83 Partial differential equations (35-XX)
83 Approximations and expansions (41-XX)
80 Ordinary differential equations (34-XX)
55 Probability theory and stochastic processes (60-XX)
38 Special functions (33-XX)
30 Operator theory (47-XX)
28 Biology and other natural sciences (92-XX)
27 Real functions (26-XX)
27 Integral equations (45-XX)
24 Statistical mechanics, structure of matter (82-XX)
20 Computer science (68-XX)
16 Information and communication theory, circuits (94-XX)
15 Fluid mechanics (76-XX)
14 Difference and functional equations (39-XX)
13 Dynamical systems and ergodic theory (37-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
10 Functional analysis (46-XX)
10 Systems theory; control (93-XX)
9 Mechanics of particles and systems (70-XX)
8 Mechanics of deformable solids (74-XX)
6 Statistics (62-XX)
4 Functions of a complex variable (30-XX)
4 Optics, electromagnetic theory (78-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Sequences, series, summability (40-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
2 Potential theory (31-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Differential geometry (53-XX)

Citations by Year