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## Vermiglio, Rossana

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 Author ID: vermiglio.rossana Published as: Vermiglio, R.; Vermiglio, Rossana External Links: ORCID
 Documents Indexed: 45 Publications since 1985, including 1 Book
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#### Co-Authors

 5 single-authored 18 Breda, Dimitri 15 Maset, Stefano 9 Jackiewicz, Zdzislaw 9 Zennaro, Marino 6 Bellen, Alfredo 5 Torelli, Lucio 4 Diekmann, Odo 3 Scarabel, Francesca 2 Gyllenberg, Mats 2 Iannelli, Mimmo 2 Kolmanovskii, Vladimir Borisovich 1 Brunner, Hermann 1 Contento, Lorenzo 1 Cusulin, Caterina 1 de Graaf, W. F. 1 Ern, Alexandre 1 Florian, Francesco 1 Getto, Philipp 1 Kuniya, Toshikazu 1 Pugliese, Andrea 1 Ripoll, Jordi 1 Sánchez Sanz, Julia
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#### Serials

 6 Applied Numerical Mathematics 4 IMA Journal of Numerical Analysis 3 Journal of Computational and Applied Mathematics 3 Numerische Mathematik 2 Journal of Mathematical Analysis and Applications 2 BIT 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 2 Journal of Biological Dynamics 1 Journal of Mathematical Biology 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Calcolo 1 Computing 1 Journal of Scientific Computing 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 SIAM Journal on Mathematical Analysis 1 Computational Optimization and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 SIAM Journal on Applied Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 SIAM/ASA Journal on Uncertainty Quantification 1 SpringerBriefs in Electrical and Computer Engineering
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#### Fields

 36 Numerical analysis (65-XX) 27 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 2 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

39 Publications have been cited 437 times in 307 Documents Cited by Year
Pseudospectral differencing methods for characteristic roots of delay differential equations. Zbl 1092.65054
Breda, D.; Maset, S.; Vermiglio, R.
2005
Stability analysis of Runge-Kutta methods for Volterra integral equations of the second kind. Zbl 0686.65095
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1990
A stable numerical approach for implicit non-linear neutral delay differential equations. Zbl 1030.65078
Vermiglio, R.; Torelli, L.
2003
Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions. Zbl 1099.65064
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana
2006
Stability of linear delay differential equations. A numerical approach with MATLAB. Zbl 1315.65059
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana
2015
Computing the characteristic roots for delay differential equations. Zbl 1054.65079
Breda, D.; Maset, S.; Vermiglio, R.
2004
Stability of solutions of delay functional integro-differential equations and their discretizations. Zbl 1049.65150
Brunner, Hermann; Vermiglio, Rossana
2003
Parallel ODE-solvers with stepsize control. Zbl 0707.65051
Bellen, A.; Vermiglio, R.; Zennaro, M.
1990
Stability of some test equations with delay. Zbl 0808.34086
Kolmanovskij, V. B.; Torelli, L.; Vermiglio, R.
1994
Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101
Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.
2016
Approximation of eigenvalues of evolution operators for linear retarded functional differential equations. Zbl 1252.34089
Breda, D.; Maset, S.; Vermiglio, R.
2012
On stability of Runge-Kutta methods for delay integral equations. Zbl 0723.65139
Vermiglio, Rossana
1992
General linear methods with external stages of different orders. Zbl 0905.65086
Jackiewicz, Z.; Vermiglio, R.
1996
Computing the eigenvalues of realistic Daphnia models by pseudospectral methods. Zbl 1335.92072
Breda, D.; Getto, P.; Sánchez Sanz, J.; Vermiglio, R.
2015
Stability analysis of the Gurtin-MacCamy model. Zbl 1159.92031
Breda, D.; Iannelli, M.; Maset, S.; Vermiglio, R.
2008
A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels. Zbl 0715.65107
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1990
Natural continuous extensions of Runge-Kutta methods for Volterra integral equations of the second kind and their applications. Zbl 0658.65137
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1989
A one-step subregion method for delay differential equations. Zbl 0625.65079
Vermiglio, R.
1985
Stability analysis of age-structured population equations by pseudospectral differencing methods. Zbl 1114.92054
Breda, Dimitri; Cusulin, Caterina; Iannelli, Mimmo; Maset, Stefano; Vermiglio, Rossana
2007
On the stability of continuous quadrature rules for differential equations with several constant delays. Zbl 0771.65053
Torelli, L.; Vermiglio, R.
1993
Numerical approximation of characteristic values of partial retarded functional differential equations. Zbl 1175.65115
Breda, D.; Maset, S.; Vermiglio, R.
2009
Runge-Kutta methods for retarded functional differential equations. Zbl 1079.65079
Maset, Stefano; Torelli, Lucio; Vermiglio, Rossana
2005
Natural continuous extension of Runge-Kutta methods for Volterra integrodiffential equations. Zbl 0629.65145
Vermiglio, R.
1988
Multistep natural continuous extensions of Runge-Kutta methods: The potential for stable interpolation. Zbl 0787.65049
Vermiglio, Rossana; Zennaro, Marino
1993
An adaptive algorithm for efficient computation of level curves of surfaces. Zbl 1180.65017
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana
2009
Regularity properties of Runge-Kutta methods for ordinary differential equations. Zbl 0867.65042
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1996
Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0822.65049
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1995
Computation of asymptotic stability for a class of partial differential equations with delay. Zbl 1269.35012
Breda, D.; Maset, S.; Vermiglio, R.
2010
Order conditions for partitioned Runge-Kutta methods. Zbl 1058.65069
Jackiewicz, Zdzisław; Vermiglio, Rossana
2000
Regularity properties of Runge-Kutta methods for delay differential equations. Zbl 0879.65052
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1997
Some applications of continuous Runge-Kutta methods. Zbl 0866.65049
Bellen, A.; Vermiglio, R.
1996
Polynomial chaos expansions for the stability analysis of uncertain delay differential equations. Zbl 1416.65225
Vermiglio, Rossana
2017
On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401
Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R.
2012
Regularity properties of multistage integration methods. Zbl 0890.65084
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1997
Multistep high-order interpolants of Runge-Kutta methods. Zbl 0780.65044
Vermiglio, R.
1993
Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098
Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana
2018
A linear-time approximate convex envelope algorithm using the double Legendre-Fenchel transform with application to phase separation. Zbl 1320.90079
Contento, Lorenzo; Ern, Alexandre; Vermiglio, Rossana
2015
Numerical recipes for investigating endemic equilibria of age-structured SIR epidemics. Zbl 1286.37073
Breda, Dmitri; Maset, Stefano; Vermiglio, Rossana
2012
About stability of some functional differential equations of neutral type. Zbl 0820.34045
Bellen, A.; Kolmanovskij, V. B.; Torelli, L.; Vermiglio, R.
1995
Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. Zbl 1427.65098
Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana
2018
Polynomial chaos expansions for the stability analysis of uncertain delay differential equations. Zbl 1416.65225
Vermiglio, Rossana
2017
Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101
Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.
2016
Stability of linear delay differential equations. A numerical approach with MATLAB. Zbl 1315.65059
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana
2015
Computing the eigenvalues of realistic Daphnia models by pseudospectral methods. Zbl 1335.92072
Breda, D.; Getto, P.; Sánchez Sanz, J.; Vermiglio, R.
2015
A linear-time approximate convex envelope algorithm using the double Legendre-Fenchel transform with application to phase separation. Zbl 1320.90079
Contento, Lorenzo; Ern, Alexandre; Vermiglio, Rossana
2015
Approximation of eigenvalues of evolution operators for linear retarded functional differential equations. Zbl 1252.34089
Breda, D.; Maset, S.; Vermiglio, R.
2012
On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401
Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R.
2012
Numerical recipes for investigating endemic equilibria of age-structured SIR epidemics. Zbl 1286.37073
Breda, Dmitri; Maset, Stefano; Vermiglio, Rossana
2012
Computation of asymptotic stability for a class of partial differential equations with delay. Zbl 1269.35012
Breda, D.; Maset, S.; Vermiglio, R.
2010
Numerical approximation of characteristic values of partial retarded functional differential equations. Zbl 1175.65115
Breda, D.; Maset, S.; Vermiglio, R.
2009
An adaptive algorithm for efficient computation of level curves of surfaces. Zbl 1180.65017
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana
2009
Stability analysis of the Gurtin-MacCamy model. Zbl 1159.92031
Breda, D.; Iannelli, M.; Maset, S.; Vermiglio, R.
2008
Stability analysis of age-structured population equations by pseudospectral differencing methods. Zbl 1114.92054
Breda, Dimitri; Cusulin, Caterina; Iannelli, Mimmo; Maset, Stefano; Vermiglio, Rossana
2007
Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions. Zbl 1099.65064
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana
2006
Pseudospectral differencing methods for characteristic roots of delay differential equations. Zbl 1092.65054
Breda, D.; Maset, S.; Vermiglio, R.
2005
Runge-Kutta methods for retarded functional differential equations. Zbl 1079.65079
Maset, Stefano; Torelli, Lucio; Vermiglio, Rossana
2005
Computing the characteristic roots for delay differential equations. Zbl 1054.65079
Breda, D.; Maset, S.; Vermiglio, R.
2004
A stable numerical approach for implicit non-linear neutral delay differential equations. Zbl 1030.65078
Vermiglio, R.; Torelli, L.
2003
Stability of solutions of delay functional integro-differential equations and their discretizations. Zbl 1049.65150
Brunner, Hermann; Vermiglio, Rossana
2003
Order conditions for partitioned Runge-Kutta methods. Zbl 1058.65069
Jackiewicz, Zdzisław; Vermiglio, Rossana
2000
Regularity properties of Runge-Kutta methods for delay differential equations. Zbl 0879.65052
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1997
Regularity properties of multistage integration methods. Zbl 0890.65084
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1997
General linear methods with external stages of different orders. Zbl 0905.65086
Jackiewicz, Z.; Vermiglio, R.
1996
Regularity properties of Runge-Kutta methods for ordinary differential equations. Zbl 0867.65042
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1996
Some applications of continuous Runge-Kutta methods. Zbl 0866.65049
Bellen, A.; Vermiglio, R.
1996
Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0822.65049
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1995
About stability of some functional differential equations of neutral type. Zbl 0820.34045
Bellen, A.; Kolmanovskij, V. B.; Torelli, L.; Vermiglio, R.
1995
Stability of some test equations with delay. Zbl 0808.34086
Kolmanovskij, V. B.; Torelli, L.; Vermiglio, R.
1994
On the stability of continuous quadrature rules for differential equations with several constant delays. Zbl 0771.65053
Torelli, L.; Vermiglio, R.
1993
Multistep natural continuous extensions of Runge-Kutta methods: The potential for stable interpolation. Zbl 0787.65049
Vermiglio, Rossana; Zennaro, Marino
1993
Multistep high-order interpolants of Runge-Kutta methods. Zbl 0780.65044
Vermiglio, R.
1993
On stability of Runge-Kutta methods for delay integral equations. Zbl 0723.65139
Vermiglio, Rossana
1992
Stability analysis of Runge-Kutta methods for Volterra integral equations of the second kind. Zbl 0686.65095
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1990
Parallel ODE-solvers with stepsize control. Zbl 0707.65051
Bellen, A.; Vermiglio, R.; Zennaro, M.
1990
A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels. Zbl 0715.65107
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1990
Natural continuous extensions of Runge-Kutta methods for Volterra integral equations of the second kind and their applications. Zbl 0658.65137
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1989
Natural continuous extension of Runge-Kutta methods for Volterra integrodiffential equations. Zbl 0629.65145
Vermiglio, R.
1988
A one-step subregion method for delay differential equations. Zbl 0625.65079
Vermiglio, R.
1985
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#### Cited by 395 Authors

 24 Jackiewicz, Zdzislaw 23 Vermiglio, Rossana 21 Breda, Dimitri 17 Li, Shoufu 17 Wang, Wansheng 15 Wen, Liping 13 Zennaro, Marino 12 Michiels, Wim 10 Bellen, Alfredo 10 Brunner, Hermann 10 Yu, Yuexin 9 Vecchio, Antonia 8 Diekmann, Odo 8 Maset, Stefano 8 van der Houwen, Pieter J. 7 Olgac, Nejat M. 7 Russo, Elvira 6 Blyuss, Konstantin B. 6 Gyllenberg, Mats 6 Kyrychko, Yuliya N. 6 Zhang, Chengjian 5 Abdi, Ali 5 Conte, Dajana 5 Scarabel, Francesca 5 Sommeijer, Ben P. 4 Crisci, Maria Rosaria 4 Getto, Philipp 4 Hojjati, Gholamreza 4 Huang, Chengming 4 Izzo, Giuseppe 4 Jarlebring, Elias 4 Mann, Brian P. 4 Qin, Tingting 4 Van der Veen, Wolter Adriaan 3 Andò, Alessia 3 Bartoszewski, Zbigniew 3 Beretta, Edoardo 3 Butcher, Eric A. 3 Cepeda-Gomez, Rudy 3 Fazeli, Somayyeh 3 Feng, Qian 3 Guglielmi, Nicola 3 Gumussoy, Suat 3 Insperger, Tamás 3 Khasawneh, Firas A. 3 Messina, Eleonora 3 Metz, Johan A. Jacob 3 Nguang, Sing Kiong 3 Paternoster, Beatrice 3 Pugliese, Andrea 3 Ripoll, Jordi 3 Russo, Emanuele 3 Wang, Zaihua 3 Zhang, Yuan 2 Ariba, Yassine 2 Arnold, Martin 2 Bobrenkov, Oleg A. 2 Burrage, Kevin 2 Butcher, John C. 2 Cahlon, Baruch 2 D’Ambrosio, Raffaele 2 de Roos, André M. 2 de Swart, Jacques J. B. 2 Farmanborda, Muster Satis 2 Fenzi, Luca 2 Gan, Siqing 2 Gao, Qingbin 2 Garrappa, Roberto 2 Gouaisbaut, Frédéric 2 Higham, Desmond J. 2 Hosein, Aiblaastin 2 Hosseini, Seyyed Ahmad 2 Hu, Guangda 2 Hu, Peng 2 Huang, Zhenkun 2 Humphries, Antony R. 2 Iannelli, Mimmo 2 Jin, Jie 2 Knoth, Oswald 2 Kolmanovskii, Vladimir Borisovich 2 Koto, Toshiyuki 2 Kuniya, Toshikazu 2 Kuo, Peien 2 Li, Dongfang 2 Li, Junyu 2 Li, Min 2 Li, Xuezhi 2 Liao, Xiaofeng 2 Liessi, Davide 2 Liu, Xiong 2 Luzyanina, Tatyana 2 Messina, Emanuele 2 Mohamad, Sannay 2 Mondié, Sabine 2 Rahman, Bootan 2 Roose, Dirk 2 Sánchez Sanz, Julia 2 Schlegel, Martin 2 Schmidt, Darrell 2 Schulze, Philipp ...and 295 more Authors
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#### Cited in 88 Serials

 36 Journal of Computational and Applied Mathematics 36 Applied Numerical Mathematics 22 Applied Mathematics and Computation 11 Computers & Mathematics with Applications 8 Journal of Mathematical Biology 8 Systems & Control Letters 8 Communications in Nonlinear Science and Numerical Simulation 7 Automatica 7 Numerische Mathematik 7 Journal of Scientific Computing 6 Journal of Vibration and Control 5 International Journal of Control 5 BIT 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Numerical Algorithms 5 Chaos 5 Nonlinear Analysis. Real World Applications 4 Journal of Mathematical Analysis and Applications 4 Bulletin of Mathematical Biology 4 Computing 4 Mathematical and Computer Modelling 4 Applied Mathematical Modelling 3 Mathematics of Computation 3 Chaos, Solitons and Fractals 3 Applied Mathematics Letters 3 Abstract and Applied Analysis 3 SIAM Journal on Applied Dynamical Systems 2 International Journal of Systems Science 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Calcolo 2 International Journal for Numerical Methods in Engineering 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 SIAM Journal on Numerical Analysis 2 Linear Algebra and its Applications 2 International Journal of Robust and Nonlinear Control 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Discrete Dynamics in Nature and Society 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Mathematical Biosciences and Engineering 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Theoretical Biology 1 Computers and Fluids 1 Computer Physics Communications 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Methodology and Computing in Applied Probability 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Advances in Difference Equations 1 Boundary Value Problems 1 Acta Mechanica Sinica 1 Journal of Biological Dynamics 1 Frontiers of Mathematics in China 1 Set-Valued and Variational Analysis 1 International Journal of Structural Stability and Dynamics 1 Journal of Computational Dynamics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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#### Cited in 27 Fields

 195 Numerical analysis (65-XX) 147 Ordinary differential equations (34-XX) 74 Integral equations (45-XX) 50 Biology and other natural sciences (92-XX) 46 Systems theory; control (93-XX) 23 Dynamical systems and ergodic theory (37-XX) 15 Partial differential equations (35-XX) 8 Operator theory (47-XX) 6 Mechanics of particles and systems (70-XX) 5 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)