Edit Profile (opens in new tab) Vecchio, Antonia Compute Distance To: Compute Author ID: vecchio.antonia Published as: Vecchio, A.; Vecchio, Antonia; Veccio, Antonia more...less Documents Indexed: 81 Publications since 1987 Co-Authors: 29 Co-Authors with 72 Joint Publications 587 Co-Co-Authors all top 5 Co-Authors 8 single-authored 38 Russo, Elvira 31 Messina, Eleonora 27 Crisci, Maria Rosaria 10 Muroya, Yoshiaki 8 Themistoclakis, Woula 7 Izzo, Giuseppe 6 Kolmanovskii, Vladimir Borisovich 5 Jackiewicz, Zdzislaw 5 Nakata, Yukihiko 3 Basile, Mariateresa 3 Enatsu, Yoichi 2 Brunner, Hermann 2 Junghanns, Peter 2 Paone, Alessandro 1 Baltzopoulos, Georgios 1 Capobianco, Giovanni 1 Cardone, Angelamaria 1 Chioccarelli, Eugenio 1 Di Costanzo, Ezio 1 Elaydi, Saber Nasr 1 Garrappa, Roberto 1 Garzilli, Immacolata 1 Guardiola, John 1 Mallik, Ranjan K. 1 Menci, Marta 1 Natalini, Roberto 1 Pezzella, Mario 1 Raffoul, Youssef Naim 1 Van der Auweraer, H. 1 van der Houwen, Pieter J. all top 5 Serials 12 Journal of Computational and Applied Mathematics 6 Discrete Dynamics in Nature and Society 5 Journal of Integral Equations and Applications 5 Journal of Difference Equations and Applications 4 Ricerche di Matematica 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Computing 3 Mathematics and Computers in Simulation 3 Dynamic Systems and Applications 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Applied Mathematics and Computation 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Functional Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Involve 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 BIT 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Aerospace Science and Technology 1 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Computational Methods in Sciences and Engineering 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Differential Equations and Applications 1 Journal of Computational Dynamics all top 5 Fields 63 Integral equations (45-XX) 58 Numerical analysis (65-XX) 16 Difference and functional equations (39-XX) 15 Ordinary differential equations (34-XX) 11 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 518 times in 305 Documents Cited by ▼ Year ▼ Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates. Zbl 1252.92049Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki; Izzo, Giuseppe; Vecchio, Antonia 34 2012 Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach. Zbl 0858.45008Crisci, M. R.; Kolmanovskij, V. B.; Russo, E.; Vecchio, A. 29 1995 Stability of difference Volterra equations: Direct Lyapunov method and numerical procedure. Zbl 0933.39007Crisci, M. R.; Kolmanovskii, V. B.; Russo, E.; Vecchio, A. 27 1998 A discrete time version for models of population dynamics in the presence of an infection. Zbl 1131.92054Izzo, Giuseppe; Vecchio, Antonia 25 2007 Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates. Zbl 1244.92048Enatsu, Yoichi; Messina, Eleonora; Muroya, Yoshiaki; Nakata, Yukihiko; Russo, Elvira; Vecchio, Antonia 25 2012 Boundedness of discrete Volterra equations. Zbl 0882.65134Crisci, Maria Rosaria; Kolmanovskij, Vladimir B.; Russo, Elvira; Vecchio, Antonia 25 1997 A family of methods for Abel integral equations of the second kind. Zbl 0724.65130Brunner, H.; Crisci, M. R.; Russo, E.; Vecchio, A. 18 1991 Permanence and global stability of a class of discrete epidemic models. Zbl 1216.92055Muroya, Yoshiaki; Nakata, Yukihiko; Izzo, Giuseppe; Vecchio, Antonia 17 2011 A general discrete time model of population dynamics in the presence of an infection. Zbl 1177.39014Izzo, Giuseppe; Muroya, Yoshiaki; Vecchio, Antonia 17 2009 Stability of discrete Volterra equations of Hammerstein type. Zbl 0951.65148Crisci, M. R.; Kolmanovskii, V. B.; Russo, E.; Vecchio, A. 15 2000 General linear methods for Volterra integral equations. Zbl 1196.65200Izzo, G.; Jackiewicz, Z.; Messina, E.; Vecchio, A. 14 2010 An adaptive method for Volterra-Fredholm integral equations on the half line. Zbl 1184.65119Cardone, A.; Messina, E.; Vecchio, A. 13 2009 Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels. Zbl 0754.45002Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 12 1991 On the asymptotic stability of linear Volterra difference equations of convolution type. Zbl 1146.39010Elaydi, S.; Messina, E.; Vecchio, A. 11 2007 A stable numerical method for Volterra integral equations with discontinuous kernel. Zbl 1142.65110Messina, E.; Russo, E.; Vecchio, A. 11 2008 On the exponential stability of discrete Volterra systems. Zbl 0971.39006Crisci, M. R.; Kolmanovskij, V. B.; Russo, E.; Vecchio, A. 10 2000 Volterra discrete equations: Summability of the fundamental matrix. Zbl 0998.65130Vecchio, Antonia 10 2001 On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation. Zbl 0675.65140Crisci, M. R.; Russo, E.; Vecchio, A. 9 1989 A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis. Zbl 1442.45004Costanzo, Ezio Di; Menci, Marta; Messina, Eleonora; Natalini, Roberto; Vecchio, Antonia 9 2020 Stability results for one-step discretized collocation methods in the numerical treatment of Volterra integral equations. Zbl 0744.65101Crisci, M. R.; Russo, E.; Vecchio, A. 8 1992 Convergence of solutions for two delays Volterra integral equations in the critical case. Zbl 1197.45006Messina, Eleonora; Muroya, Yoshiaki; Russo, Elvira; Vecchio, Antonia 8 2010 A numerical method for a class of non-linear integro-differential equations on the half line. Zbl 1268.65163Basile, Mariateresa; Messina, Eleonora; Themistoclakis, Woula; Vecchio, Antonia 8 2012 Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis. Zbl 0890.65141Crisci, M. R.; Russo, E.; Vecchio, A. 7 1997 A bound for the inverse of a lower triangular Toeplitz matrix. Zbl 1040.15017Vecchio, Antonia 7 2003 Comparing analytical and numerical solution of a nonlinear two-delay integral equations. Zbl 1215.65201Messina, E.; Russo, E.; Vecchio, A. 6 2011 Stability of parallel Volterra-Runge-Kutta methods. Zbl 0802.65133Crisci, M. R.; Russo, E.; Van der Houwen, P. J.; Vecchio, A. 6 1993 Time point relaxation methods for Volterra integro-differential equations. Zbl 0933.65150Crisci, M. R.; Russo, E.; Vecchio, A. 6 1998 Stability results on some direct quadrature methods for Volterra integro-differential equations. Zbl 0924.65139Vecchio, Antonia 6 1998 Continuous and discrete time waveform relaxation methods for Volterra integral equations with weakly singular kernels. Zbl 1146.65330Brunner, H.; Crisci, M. R.; Russo, E.; Vecchio, A. 6 2002 Stability analysis of the de Hoog and Weiss implicit Runge-Kutta methods for the Volterra integral and integrodifferential equations. Zbl 0699.65089Crisci, M. R.; Russo, E.; Vecchio, A. 6 1990 Stability analysis of linear Volterra equations on time scales under bounded perturbations. Zbl 1381.45011Messina, Eleonora; Vecchio, Antonia 6 2016 On the numerical solution of some nonlinear and nonlocal boundary value problems. Zbl 1338.65201Themistoclakis, W.; Vecchio, A. 6 2015 On the solution of a class of nonlinear systems governed by an \(M\)-matrix. Zbl 1248.65052Themistoclakis, Woula; Vecchio, Antonia 5 2012 Stability and boundedness of numerical approximations to Volterra integral equations. Zbl 1372.65348Messina, Eleonora; Vecchio, Antonia 5 2017 Effect of perturbation in the numerical solution of fractional differential equations. Zbl 1402.65067Garrappa, Roberto; Messina, Eleonora; Vecchio, Antonia 5 2018 Global stability of exact collocation methods for Volterra integro- differential equations. Zbl 0758.65084Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 4 1991 Stability of collocation methods for Volterra integro-differential equations. Zbl 0768.65089Crisci, M. R.; Russo, E.; Vecchio, A. 4 1992 A convolution test equation for double delay integral equations. Zbl 1169.65123Messina, E.; Russo, E.; Vecchio, A. 4 2009 On the stability of the one-step exact collocation method for the second kind Volterra integral equation with degenerate kernel. Zbl 0671.65111Crisci, Maria Rosaria; Russo, Elvira; Vecchio, Antonia 4 1988 Asymptotic properties of solutions of Volterra difference equations with finite linear part. Zbl 0933.65151Crisci, M. R.; Kolmanovskii, V. B.; Russo, E.; Vecchio, A. 4 1999 Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method. Zbl 1330.45002Messina, Eleonora; Russo, Elvira; Vecchio, Antonia 4 2015 Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels. Zbl 0724.65132Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 4 1990 Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates. Zbl 1303.34066Enatsu, Yoichi; Messina, Eleonora; Nakata, Yukihiko; Muroya, Yoshiaki; Russo, Elvira; Vecchio, Antonia 4 2012 Boundedness of the global error of some linear and nonlinear methods for Volterra integral equations. Zbl 0986.65139Vecchio, Antonia 3 2000 Parallel methods for Volterra integral equations. Zbl 0981.65151Capobianco, G.; Crisci, M. R.; Russo, E.; Vecchio, A. 3 2000 Bounds on the inverses of nonnegative triangular matrices with monotonicity properties. Zbl 1122.15008Vecchio, Antonia; Mallik, Ranjan K. 3 2007 Stability of backward differentiation formulas for Volterra integro-differential equations. Zbl 0949.65139Vecchio, Antonia 3 2000 On the resolvent kernel of Volterra discrete equations. Zbl 1031.39001Vecchio, Antonia 3 1999 A sufficient condition for the stability of direct quadrature methods for Volterra integral equations. Zbl 1364.65295Messina, Eleonora; Vecchio, Antonia 3 2017 Global stability condition for collocation methods for Volterra integral equations of the second kind. Zbl 0703.65089Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 3 1990 Fixed point iterations for a class of nonstandard Sturm-Liouville boundary value problems. Zbl 1283.45003Junghanns, P.; Themistoclakis, W.; Vecchio, A. 3 2014 Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations. Zbl 1417.39040Messina, E.; Vecchio, A. 3 2018 On the numerical solution of a class of nonstandard Sturm-Liouville boundary value problems. Zbl 1294.65113Junghanns, P.; Themistoclakis, W.; Vecchio, A. 3 2014 Some investigations on a class of nonlinear integrodifferential equations on the half-line. Zbl 1280.45004Basile, Mariateresa; Themistoclakis, Woula; Vecchio, Antonia 3 2014 Highly stable parallel Volterra Runge-Kutta methods. Zbl 0856.65144Vecchio, Antonia 2 1996 Convergence of discrete-time relaxation methods based on Volterra backward differentiation formulas. Zbl 0952.65108Crisci, Maria Rosaria; Russo, Elvira; Vecchio, Antonia 2 1999 Block methods for second kind Volterra equations. Zbl 0915.65141Crisci, M. R.; Russo, E.; Vecchio, A. 2 1995 On the numerical solution of a nonlocal boundary value problem. Zbl 1323.65086Themistoclakis, W.; Vecchio, A. 2 2016 Stability of numerical solutions for Abel-Volterra integral equations of the second kind. Zbl 1406.65136Izzo, G.; Messina, E.; Vecchio, A. 2 2018 On the stability of numerical methods for nonlinear Volterra integral equations. Zbl 1192.65162Messina, E.; Muroya, Y.; Russo, E.; Vecchio, A. 2 2010 Asymptotic behavior of solutions for nonlinear Volterra discrete equations. Zbl 1155.39006Messina, E.; Muroya, Y.; Russo, E.; Vecchio, A. 2 2008 Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems. Zbl 07313352Basile, M.; Messina, E.; Themistoclakis, W.; Vecchio, A. 1 2015 A nonlinear stability property of transformed Volterra Runge-Kutta methods. Zbl 0882.65143Paone, A.; Vecchio, A. 1 1996 Discrete time relaxation based on direct quadrature methods for Volterra integral equations. Zbl 0930.65143Paone, A.; Vecchio, A. 1 1999 Stability of direct quadrature methods for systems of Volterra integral equations. Zbl 1063.65149Vecchio, Antonia 1 2003 A non-standard numerical scheme for an age-of-infection epidemic model. Zbl 1492.65366Messina, Eleonora; Pezzella, Mario; Vecchio, Antonia 1 2022 Coexistence for multiple largest reproduction ratios of a multi-strain SIS epidemic model. Zbl 1374.34172Muroya, Yoshiaki; Messina, Eleonora; Russo, Elvira; Vecchio, Antonia 1 2016 Long-time behaviour of the approximate solution to quasi-convolution Volterra equations. Zbl 1443.65443Messina, Eleonora; Vecchio, Antonia 1 2020 A non-standard numerical scheme for an age-of-infection epidemic model. Zbl 1492.65366Messina, Eleonora; Pezzella, Mario; Vecchio, Antonia 1 2022 A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis. Zbl 1442.45004Costanzo, Ezio Di; Menci, Marta; Messina, Eleonora; Natalini, Roberto; Vecchio, Antonia 9 2020 Long-time behaviour of the approximate solution to quasi-convolution Volterra equations. Zbl 1443.65443Messina, Eleonora; Vecchio, Antonia 1 2020 Effect of perturbation in the numerical solution of fractional differential equations. Zbl 1402.65067Garrappa, Roberto; Messina, Eleonora; Vecchio, Antonia 5 2018 Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations. Zbl 1417.39040Messina, E.; Vecchio, A. 3 2018 Stability of numerical solutions for Abel-Volterra integral equations of the second kind. Zbl 1406.65136Izzo, G.; Messina, E.; Vecchio, A. 2 2018 Stability and boundedness of numerical approximations to Volterra integral equations. Zbl 1372.65348Messina, Eleonora; Vecchio, Antonia 5 2017 A sufficient condition for the stability of direct quadrature methods for Volterra integral equations. Zbl 1364.65295Messina, Eleonora; Vecchio, Antonia 3 2017 Stability analysis of linear Volterra equations on time scales under bounded perturbations. Zbl 1381.45011Messina, Eleonora; Vecchio, Antonia 6 2016 On the numerical solution of a nonlocal boundary value problem. Zbl 1323.65086Themistoclakis, W.; Vecchio, A. 2 2016 Coexistence for multiple largest reproduction ratios of a multi-strain SIS epidemic model. Zbl 1374.34172Muroya, Yoshiaki; Messina, Eleonora; Russo, Elvira; Vecchio, Antonia 1 2016 On the numerical solution of some nonlinear and nonlocal boundary value problems. Zbl 1338.65201Themistoclakis, W.; Vecchio, A. 6 2015 Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method. Zbl 1330.45002Messina, Eleonora; Russo, Elvira; Vecchio, Antonia 4 2015 Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems. Zbl 07313352Basile, M.; Messina, E.; Themistoclakis, W.; Vecchio, A. 1 2015 Fixed point iterations for a class of nonstandard Sturm-Liouville boundary value problems. Zbl 1283.45003Junghanns, P.; Themistoclakis, W.; Vecchio, A. 3 2014 On the numerical solution of a class of nonstandard Sturm-Liouville boundary value problems. Zbl 1294.65113Junghanns, P.; Themistoclakis, W.; Vecchio, A. 3 2014 Some investigations on a class of nonlinear integrodifferential equations on the half-line. Zbl 1280.45004Basile, Mariateresa; Themistoclakis, Woula; Vecchio, Antonia 3 2014 Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates. Zbl 1252.92049Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki; Izzo, Giuseppe; Vecchio, Antonia 34 2012 Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates. Zbl 1244.92048Enatsu, Yoichi; Messina, Eleonora; Muroya, Yoshiaki; Nakata, Yukihiko; Russo, Elvira; Vecchio, Antonia 25 2012 A numerical method for a class of non-linear integro-differential equations on the half line. Zbl 1268.65163Basile, Mariateresa; Messina, Eleonora; Themistoclakis, Woula; Vecchio, Antonia 8 2012 On the solution of a class of nonlinear systems governed by an \(M\)-matrix. Zbl 1248.65052Themistoclakis, Woula; Vecchio, Antonia 5 2012 Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates. Zbl 1303.34066Enatsu, Yoichi; Messina, Eleonora; Nakata, Yukihiko; Muroya, Yoshiaki; Russo, Elvira; Vecchio, Antonia 4 2012 Permanence and global stability of a class of discrete epidemic models. Zbl 1216.92055Muroya, Yoshiaki; Nakata, Yukihiko; Izzo, Giuseppe; Vecchio, Antonia 17 2011 Comparing analytical and numerical solution of a nonlinear two-delay integral equations. Zbl 1215.65201Messina, E.; Russo, E.; Vecchio, A. 6 2011 General linear methods for Volterra integral equations. Zbl 1196.65200Izzo, G.; Jackiewicz, Z.; Messina, E.; Vecchio, A. 14 2010 Convergence of solutions for two delays Volterra integral equations in the critical case. Zbl 1197.45006Messina, Eleonora; Muroya, Yoshiaki; Russo, Elvira; Vecchio, Antonia 8 2010 On the stability of numerical methods for nonlinear Volterra integral equations. Zbl 1192.65162Messina, E.; Muroya, Y.; Russo, E.; Vecchio, A. 2 2010 A general discrete time model of population dynamics in the presence of an infection. Zbl 1177.39014Izzo, Giuseppe; Muroya, Yoshiaki; Vecchio, Antonia 17 2009 An adaptive method for Volterra-Fredholm integral equations on the half line. Zbl 1184.65119Cardone, A.; Messina, E.; Vecchio, A. 13 2009 A convolution test equation for double delay integral equations. Zbl 1169.65123Messina, E.; Russo, E.; Vecchio, A. 4 2009 A stable numerical method for Volterra integral equations with discontinuous kernel. Zbl 1142.65110Messina, E.; Russo, E.; Vecchio, A. 11 2008 Asymptotic behavior of solutions for nonlinear Volterra discrete equations. Zbl 1155.39006Messina, E.; Muroya, Y.; Russo, E.; Vecchio, A. 2 2008 A discrete time version for models of population dynamics in the presence of an infection. Zbl 1131.92054Izzo, Giuseppe; Vecchio, Antonia 25 2007 On the asymptotic stability of linear Volterra difference equations of convolution type. Zbl 1146.39010Elaydi, S.; Messina, E.; Vecchio, A. 11 2007 Bounds on the inverses of nonnegative triangular matrices with monotonicity properties. Zbl 1122.15008Vecchio, Antonia; Mallik, Ranjan K. 3 2007 A bound for the inverse of a lower triangular Toeplitz matrix. Zbl 1040.15017Vecchio, Antonia 7 2003 Stability of direct quadrature methods for systems of Volterra integral equations. Zbl 1063.65149Vecchio, Antonia 1 2003 Continuous and discrete time waveform relaxation methods for Volterra integral equations with weakly singular kernels. Zbl 1146.65330Brunner, H.; Crisci, M. R.; Russo, E.; Vecchio, A. 6 2002 Volterra discrete equations: Summability of the fundamental matrix. Zbl 0998.65130Vecchio, Antonia 10 2001 Stability of discrete Volterra equations of Hammerstein type. Zbl 0951.65148Crisci, M. R.; Kolmanovskii, V. B.; Russo, E.; Vecchio, A. 15 2000 On the exponential stability of discrete Volterra systems. Zbl 0971.39006Crisci, M. R.; Kolmanovskij, V. B.; Russo, E.; Vecchio, A. 10 2000 Boundedness of the global error of some linear and nonlinear methods for Volterra integral equations. Zbl 0986.65139Vecchio, Antonia 3 2000 Parallel methods for Volterra integral equations. Zbl 0981.65151Capobianco, G.; Crisci, M. R.; Russo, E.; Vecchio, A. 3 2000 Stability of backward differentiation formulas for Volterra integro-differential equations. Zbl 0949.65139Vecchio, Antonia 3 2000 Asymptotic properties of solutions of Volterra difference equations with finite linear part. Zbl 0933.65151Crisci, M. R.; Kolmanovskii, V. B.; Russo, E.; Vecchio, A. 4 1999 On the resolvent kernel of Volterra discrete equations. Zbl 1031.39001Vecchio, Antonia 3 1999 Convergence of discrete-time relaxation methods based on Volterra backward differentiation formulas. Zbl 0952.65108Crisci, Maria Rosaria; Russo, Elvira; Vecchio, Antonia 2 1999 Discrete time relaxation based on direct quadrature methods for Volterra integral equations. Zbl 0930.65143Paone, A.; Vecchio, A. 1 1999 Stability of difference Volterra equations: Direct Lyapunov method and numerical procedure. Zbl 0933.39007Crisci, M. R.; Kolmanovskii, V. B.; Russo, E.; Vecchio, A. 27 1998 Time point relaxation methods for Volterra integro-differential equations. Zbl 0933.65150Crisci, M. R.; Russo, E.; Vecchio, A. 6 1998 Stability results on some direct quadrature methods for Volterra integro-differential equations. Zbl 0924.65139Vecchio, Antonia 6 1998 Boundedness of discrete Volterra equations. Zbl 0882.65134Crisci, Maria Rosaria; Kolmanovskij, Vladimir B.; Russo, Elvira; Vecchio, Antonia 25 1997 Discrete-time waveform relaxation Volterra-Runge-Kutta methods: Convergence analysis. Zbl 0890.65141Crisci, M. R.; Russo, E.; Vecchio, A. 7 1997 Highly stable parallel Volterra Runge-Kutta methods. Zbl 0856.65144Vecchio, Antonia 2 1996 A nonlinear stability property of transformed Volterra Runge-Kutta methods. Zbl 0882.65143Paone, A.; Vecchio, A. 1 1996 Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach. Zbl 0858.45008Crisci, M. R.; Kolmanovskij, V. B.; Russo, E.; Vecchio, A. 29 1995 Block methods for second kind Volterra equations. Zbl 0915.65141Crisci, M. R.; Russo, E.; Vecchio, A. 2 1995 Stability of parallel Volterra-Runge-Kutta methods. Zbl 0802.65133Crisci, M. R.; Russo, E.; Van der Houwen, P. J.; Vecchio, A. 6 1993 Stability results for one-step discretized collocation methods in the numerical treatment of Volterra integral equations. Zbl 0744.65101Crisci, M. R.; Russo, E.; Vecchio, A. 8 1992 Stability of collocation methods for Volterra integro-differential equations. Zbl 0768.65089Crisci, M. R.; Russo, E.; Vecchio, A. 4 1992 A family of methods for Abel integral equations of the second kind. Zbl 0724.65130Brunner, H.; Crisci, M. R.; Russo, E.; Vecchio, A. 18 1991 Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels. Zbl 0754.45002Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 12 1991 Global stability of exact collocation methods for Volterra integro- differential equations. Zbl 0758.65084Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 4 1991 Stability analysis of the de Hoog and Weiss implicit Runge-Kutta methods for the Volterra integral and integrodifferential equations. Zbl 0699.65089Crisci, M. R.; Russo, E.; Vecchio, A. 6 1990 Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels. Zbl 0724.65132Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 4 1990 Global stability condition for collocation methods for Volterra integral equations of the second kind. Zbl 0703.65089Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A. 3 1990 On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation. Zbl 0675.65140Crisci, M. R.; Russo, E.; Vecchio, A. 9 1989 On the stability of the one-step exact collocation method for the second kind Volterra integral equation with degenerate kernel. Zbl 0671.65111Crisci, Maria Rosaria; Russo, Elvira; Vecchio, Antonia 4 1988 all cited Publications top 5 cited Publications all top 5 Cited by 421 Authors 45 Vecchio, Antonia 25 Russo, Elvira 20 Messina, Eleonora 16 Crisci, Maria Rosaria 14 Muroya, Yoshiaki 9 Conte, Dajana 9 Izzo, Giuseppe 9 Teng, Zhi-dong 8 Jackiewicz, Zdzislaw 8 Kolmanovskii, Vladimir Borisovich 7 Baker, Christopher Thomas Hale 7 Cardone, Angelamaria 7 Xu, Jinhu 6 Diblík, Josef 6 Enatsu, Yoichi 6 Geng, Yan 6 Migda, Małgorzata 6 Nakata, Yukihiko 6 Raffoul, Youssef Naim 6 Růžičková, Miroslava 6 Song, Yihong 5 Paternoster, Beatrice 5 Themistoclakis, Woula 5 Wang, Lei 4 Abdi, Ali 4 Capobianco, Giovanni 4 D’Ambrosio, Raffaele 4 Ding, Xiaohua 4 Liu, Juan 4 Morchało, Jarosław 4 Schmeidel, Ewa L. 4 Shahmorad, Sedaghat 4 Šutá, Zuzana 3 Agarwal, Ravi P. 3 Del Prete, Ida 3 Ding, Deqiong 3 Galperin, Efim A. 3 Hou, Jiangyong 3 Huang, Chengming 3 Ishiwata, Emiko 3 Kansa, Edward J. 3 Medina, Rigoberto 3 Pham Huu Anh Ngoc 3 Samanta, Guru Prasad 3 Sezer, Mehmet 3 Sharma, Swarnali 3 Yang, Yu 2 Abdou, Mohamed Abdella 2 Alshaikh, Matuka A. 2 Bellen, Alfredo 2 Berenguer, María Isabel 2 Berenhaut, Kenneth S. 2 Berezansky, Leonid M. 2 Braverman, Elena 2 Brunner, Hermann 2 Cui, Qianqian 2 El Boukari, Brahim 2 Elaiw, Ahmed M. 2 Elaydi, Saber Nasr 2 Gil’, Michael Iosif 2 Gu, Zhendong 2 Hattaf, Khalid 2 Hieu, Le Trung 2 Hojjati, Gholamreza 2 Hosseini, Seyed Mohammad 2 Hosseini, Seyyed Ahmad 2 Hu, Zengyun 2 Jiang, Daqing 2 Jiang, Haijun 2 Junghanns, Peter 2 Karabash, Illya M. 2 Liu, Luju 2 Ma, Xinsheng 2 Makroglou, Athena 2 Mallik, Ranjan K. 2 Menci, Marta 2 Natalini, Roberto 2 Nemati Saray, Behzad 2 Özel, Mustafa 2 Pang, Peter Y. H. 2 Papi, Marco 2 Paul, Thierry 2 Popolizio, Marina 2 Qin, Wendi 2 Ruiz Galán, Manuel 2 Sekiguchi, Masaki 2 Singh, Randhir 2 Tarakçı, Mehmet 2 van der Houwen, Pieter J. 2 Wang, Kai 2 Wang, Lisha 2 Wen, Jiao 2 Xiao, Aiguo 2 Yousfi, Noura 2 Zhang, Suxia 2 Zhao, Huitao 2 Zhou, Jinling 1 Abbas, Syed 1 Abdel-Aty, Abdel-Haleem 1 Abdelaziz, Mahmoud A. M. ...and 321 more Authors all top 5 Cited in 96 Serials 31 Journal of Computational and Applied Mathematics 21 Journal of Difference Equations and Applications 17 Applied Mathematics and Computation 16 Advances in Difference Equations 14 Computers & Mathematics with Applications 10 Discrete Dynamics in Nature and Society 9 Journal of Mathematical Analysis and Applications 9 Applied Numerical Mathematics 8 Numerical Algorithms 8 Abstract and Applied Analysis 8 International Journal of Biomathematics 7 Journal of Integral Equations and Applications 6 Mathematical Methods in the Applied Sciences 6 BIT 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 Ricerche di Matematica 4 Applied Mathematics Letters 4 Computational and Applied Mathematics 3 Physica A 3 International Journal of Computer Mathematics 3 Linear Algebra and its Applications 3 Differential Equations and Dynamical Systems 3 Journal of Applied Mathematics and Computing 2 Linear and Multilinear Algebra 2 Chaos, Solitons and Fractals 2 Computing 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Automation and Remote Control 2 Turkish Journal of Mathematics 2 Advances in Computational Mathematics 2 Opuscula Mathematica 2 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Analysis and Applications (Singapore) 2 Mediterranean Journal of Mathematics 2 Journal of Biological Dynamics 2 Journal of Computational Dynamics 2 Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Calcolo 1 Demonstratio Mathematica 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 International Journal of Robust and Nonlinear Control 1 Russian Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Fractals 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Hacettepe Journal of Mathematics and Statistics 1 International Journal of Computational Methods 1 Fixed Point Theory and Applications 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Optimization Letters 1 Computational & Mathematical Methods in Medicine 1 Journal of Nonlinear Science and Applications 1 Advances in Differential Equations and Control Processes 1 Differential Equations and Applications 1 International Journal of Differential Equations 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Arabian Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Axioms 1 Journal of Mathematics 1 East Asian Journal on Applied Mathematics 1 Journal of Mathematical Modeling 1 Computational Methods for Differential Equations 1 Open Mathematics 1 AIMS Mathematics 1 Mathematical Foundations of Computing 1 Pure and Applied Analysis all top 5 Cited in 29 Fields 144 Numerical analysis (65-XX) 130 Integral equations (45-XX) 97 Biology and other natural sciences (92-XX) 87 Difference and functional equations (39-XX) 74 Ordinary differential equations (34-XX) 17 Partial differential equations (35-XX) 17 Dynamical systems and ergodic theory (37-XX) 10 Systems theory; control (93-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year