Pseudospectral differencing methods for characteristic roots of delay differential equations D Breda, S Maset, R Vermiglio SIAM Journal on Scientific Computing 27 (2), 482-495, 2005 | 333 | 2005 |
Stability of linear delay differential equations: A numerical approach with MATLAB D Breda, S Maset, R Vermiglio Springer, 2014 | 223 | 2014 |
On the formulation of epidemic models (an appraisal of Kermack and McKendrick) D Breda, O Diekmann, WF De Graaf, A Pugliese, R Vermiglio Journal of biological dynamics 6 (sup2), 103-117, 2012 | 156 | 2012 |
Computing the characteristic roots for delay differential equations D Breda, S Maset, R Vermiglio IMA Journal of Numerical Analysis 24 (1), 1-19, 2004 | 150 | 2004 |
Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary conditions D Breda, S Maset, R Vermiglio Applied numerical mathematics 56 (3-4), 318-331, 2006 | 127 | 2006 |
TRACE-DDE: a tool for robust analysis and characteristic equations for delay differential equations D Breda, S Maset, R Vermiglio Topics in Time Delay Systems: Analysis, Algorithms and Control, 145-155, 2009 | 111 | 2009 |
Approximation of eigenvalues of evolution operators for linear retarded functional differential equations D Breda, S Maset, R Vermiglio SIAM Journal on Numerical Analysis 50 (3), 1456-1483, 2012 | 77 | 2012 |
Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis D Breda, O Diekmann, M Gyllenberg, F Scarabel, R Vermiglio SIAM Journal on applied dynamical systems 15 (1), 1-23, 2016 | 73 | 2016 |
Parallel ODE-solvers with stepsize control A Bellen, R Vermiglio, M Zennaro Journal of Computational and applied mathematics 31 (2), 277-293, 1990 | 62 | 1990 |
Stability analysis of Runge-Kutta methods for Volterra integral equations of the second kind A Bellen, Z Jackiewicz, R Vermiglio, M Zennaro IMA journal of numerical analysis 10 (1), 103-103, 1990 | 56 | 1990 |
Stability of some test equations with delay VB Kolmanovskii, L Torelli, R Vermiglio SIAM Journal on Mathematical Analysis 25 (3), 948-961, 1994 | 48 | 1994 |
Efficient numerical computation of the basic reproduction number for structured populations D Breda, F Florian, J Ripoll, R Vermiglio Journal of computational and applied mathematics 384, 113165, 2021 | 45 | 2021 |
A numerical approach for investigating the stability of equilibria for structured population models D Breda, O Diekmann, S Maset, R Vermiglio Journal of biological dynamics 7 (sup1), 4-20, 2013 | 42 | 2013 |
Stability analysis of the Gurtin–MacCamy model D Breda, M Iannelli, S Maset, R Vermiglio SIAM Journal on Numerical Analysis 46 (2), 980-995, 2008 | 39 | 2008 |
A stable numerical approach for implicit non-linear neutral delay differential equations R Vermiglio, L Torelli BIT Numerical Mathematics 43, 195-215, 2003 | 38 | 2003 |
Stability analysis of age-structured population equations by pseudospectral differencing methods D Breda, C Cusulin, M Iannelli, S Maset, R Vermiglio Journal of Mathematical Biology 54, 701-720, 2007 | 36 | 2007 |
Computing the eigenvalues of realistic Daphnia models by pseudospectral methods D Breda, P Getto, JS Sanz, R Vermiglio SIAM Journal on Scientific Computing 37 (6), A2607-A2629, 2015 | 34 | 2015 |
On the stability of Runge-Kutta methods for delay integral equations R Vermiglio Numerische Mathematik 61 (1), 561-577, 1992 | 34 | 1992 |
Runge–Kutta methods for retarded functional differential equations S Maset, L Torelli, R Vermiglio Mathematical Models and Methods in Applied Sciences 15 (08), 1203-1251, 2005 | 33 | 2005 |
Stability of solutions of delay functional integro-differential equations and their discretizations H Brunner, R Vermiglio Computing 71, 229-245, 2003 | 32 | 2003 |