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## Breda, Dimitri

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 Author ID: breda.dimitri Published as: Breda, D.; Breda, Dimitri; Breda, Dmitri External Links: MGP · Wikidata
 Documents Indexed: 38 Publications since 2003, including 1 Book
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#### Co-Authors

 4 single-authored 18 Vermiglio, Rossana 14 Maset, Stefano 4 Diekmann, Odo 3 Andò, Alessia 3 Beretta, Edoardo 3 Liessi, Davide 3 Pugliese, Andrea 3 Scarabel, Francesca 2 Iannelli, Mimmo 1 Clamer, Valentina 1 Cusulin, Caterina 1 de Graaf, W. F. 1 Franceschetti, Andrea 1 Getto, Philipp 1 Gyllenberg, Mats 1 Kuniya, Toshikazu 1 Liu, Shengqiang 1 Menegon, Giulia 1 Nonino, Monica 1 Olgac, Nejat M. 1 Orosz, Gábor 1 Ripoll, Jordi 1 Sadeghpour, Mehdi 1 Sánchez Sanz, Julia 1 Schiava, Sara Della 1 Sipahi, Rifat 1 Van Vleck, Erik S. 1 Visetti, Daniela
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#### Serials

 4 SIAM Journal on Numerical Analysis 3 Mathematical Biosciences and Engineering 2 IMA Journal of Numerical Analysis 2 Journal of Mathematical Biology 2 Numerische Mathematik 2 Applied Numerical Mathematics 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Journal of Biological Dynamics 1 International Journal of Systems Science 1 Mathematical Biosciences 1 IEEE Transactions on Automatic Control 1 Journal of Scientific Computing 1 Differential and Integral Equations 1 Numerical Algorithms 1 International Journal of Robust and Nonlinear Control 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 Nonlinear Analysis. Real World Applications 1 Scientiae Mathematicae Japonicae 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 SpringerBriefs in Electrical and Computer Engineering
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#### Fields

 24 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 17 Biology and other natural sciences (92-XX) 11 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 3 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX)

#### Citations contained in zbMATH

27 Publications have been cited 303 times in 181 Documents Cited by Year
Pseudospectral differencing methods for characteristic roots of delay differential equations. Zbl 1092.65054
Breda, D.; Maset, S.; Vermiglio, R.
2005
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
Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124
Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri
2010
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
Solution operator approximations for characteristic roots of delay differential equations. Zbl 1095.65072
Breda, Dimitri
2006
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
Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations. Zbl 1284.65082
Breda, Dimitri; Van Vleck, Erik
2014
On characteristic roots and stability charts of delay differential equations. Zbl 1274.93070
Breda, D.
2012
An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062
Beretta, Edoardo; Breda, Dmitri
2011
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
Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298
Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca
2016
Multiple endemic states in age-structured $$SIR$$ epidemic models. Zbl 1260.92104
Franceschetti, Andrea; Pugliese, Andrea; Breda, Dmitri
2012
Numerical approximation of characteristic values of partial retarded functional differential equations. Zbl 1175.65115
Breda, D.; Maset, S.; Vermiglio, R.
2009
A stability study on first-order neutral systems with three rationally independent time delays. Zbl 1206.93097
Sipahi, Rifat; Olgac, Nejat; Breda, Dimitri
2010
An adaptive algorithm for efficient computation of level curves of surfaces. Zbl 1180.65017
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana
2009
Computation of asymptotic stability for a class of partial differential equations with delay. Zbl 1269.35012
Breda, D.; Maset, S.; Vermiglio, R.
2010
Nonautonomous delay differential equations in Hilbert spaces and Lyapunov exponents. Zbl 1240.34379
Breda, Dimitri
2010
Methods for numerical computation of characteristic roots for delay differential equations: experimental comparison. Zbl 1065.65099
Breda, D.
2003
Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127
Beretta, Edoardo; Breda, Dimitri
2016
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
Approximation of eigenvalues of evolution operators for linear renewal equations. Zbl 1404.65319
Breda, Dimitri; Liessi, Davide
2018
Existence, multiplicity and stability of endemic states for an age-structured S-I epidemic model. Zbl 1241.92062
Breda, D.; Visetti, D.
2012
Numerical recipes for investigating endemic equilibria of age-structured SIR epidemics. Zbl 1286.37073
Breda, Dmitri; Maset, Stefano; Vermiglio, Rossana
2012
Approximation of eigenvalues of evolution operators for linear renewal equations. Zbl 1404.65319
Breda, Dimitri; Liessi, Davide
2018
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
Numerical bifurcation analysis of a class of nonlinear renewal equations. Zbl 1413.65298
Breda, Dimitri; Diekmann, Odo; Liessi, Davide; Scarabel, Francesca
2016
Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127
Beretta, Edoardo; Breda, Dimitri
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
Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations. Zbl 1284.65082
Breda, Dimitri; Van Vleck, Erik
2014
Approximation of eigenvalues of evolution operators for linear retarded functional differential equations. Zbl 1252.34089
Breda, D.; Maset, S.; Vermiglio, R.
2012
On characteristic roots and stability charts of delay differential equations. Zbl 1274.93070
Breda, D.
2012
Multiple endemic states in age-structured $$SIR$$ epidemic models. Zbl 1260.92104
Franceschetti, Andrea; Pugliese, Andrea; Breda, Dmitri
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
Existence, multiplicity and stability of endemic states for an age-structured S-I epidemic model. Zbl 1241.92062
Breda, D.; Visetti, D.
2012
Numerical recipes for investigating endemic equilibria of age-structured SIR epidemics. Zbl 1286.37073
Breda, Dmitri; Maset, Stefano; Vermiglio, Rossana
2012
An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062
Beretta, Edoardo; Breda, Dmitri
2011
Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124
Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri
2010
A stability study on first-order neutral systems with three rationally independent time delays. Zbl 1206.93097
Sipahi, Rifat; Olgac, Nejat; Breda, Dimitri
2010
Computation of asymptotic stability for a class of partial differential equations with delay. Zbl 1269.35012
Breda, D.; Maset, S.; Vermiglio, R.
2010
Nonautonomous delay differential equations in Hilbert spaces and Lyapunov exponents. Zbl 1240.34379
Breda, Dimitri
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
Solution operator approximations for characteristic roots of delay differential equations. Zbl 1095.65072
Breda, Dimitri
2006
Pseudospectral differencing methods for characteristic roots of delay differential equations. Zbl 1092.65054
Breda, D.; Maset, S.; Vermiglio, R.
2005
Computing the characteristic roots for delay differential equations. Zbl 1054.65079
Breda, D.; Maset, S.; Vermiglio, R.
2004
Methods for numerical computation of characteristic roots for delay differential equations: experimental comparison. Zbl 1065.65099
Breda, D.
2003
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#### Cited by 314 Authors

 22 Breda, Dimitri 13 Vermiglio, Rossana 12 Michiels, Wim 10 Diekmann, Odo 8 Olgac, Nejat M. 7 Kuniya, Toshikazu 6 Blyuss, Konstantin B. 6 Gyllenberg, Mats 6 Kyrychko, Yuliya N. 5 Getto, Philipp 5 Maset, Stefano 5 Scarabel, Francesca 4 Cepeda-Gomez, Rudy 4 Jarlebring, Elias 4 Mann, Brian P. 4 Pugliese, Andrea 3 Andò, Alessia 3 Beretta, Edoardo 3 Butcher, Eric A. 3 Feng, Qian 3 Gao, Qingbin 3 Gumussoy, Suat 3 Insperger, Tamás 3 Khasawneh, Firas A. 3 Metz, Johan A. Jacob 3 Mondié, Sabine 3 Nakata, Yukihiko 3 Nguang, Sing Kiong 3 Ripoll, Jordi 3 Sipahi, Rifat 3 Van Vleck, Erik S. 3 Vecchio, Antonia 2 Abbas, Syed 2 Agrawal, Rashmi 2 Al-Darabsah, Isam 2 Ariba, Yassine 2 Bobrenkov, Oleg A. 2 Čermák, Jan 2 de Roos, André M. 2 de Souza, Daniel Câmara 2 Farmanborda, Muster Satis 2 Gomez, Marco A. 2 Gouaisbaut, Frédéric 2 Hosein, Aiblaastin 2 Hu, Guangda 2 Humphries, Antony R. 2 Iannelli, Mimmo 2 Jana, Debaldev 2 Kumar Upadhyay, Ranjit 2 Kuo, Peien 2 Liessi, Davide 2 Liu, Shengqiang 2 Mackey, Michael Charles 2 Messina, Eleonora 2 Messina, Emanuele 2 Obaya, Rafael 2 Rahman, Bootan 2 Ramírez, Adrian 2 Russo, Elvira 2 Sánchez Sanz, Julia 2 Sanz, Ana M. 2 Schulze, Philipp 2 Tripathi, Jai Prakash 2 Unger, Benjamin 2 Vanbiervliet, Joris 2 Verheyden, Koen 2 Zalluhoglu, Umut 1 Abbasbandy, Saeid 1 Ackleh, Azmy S. 1 Agaba, G. O. 1 Agert, Carsten 1 Ahmed, Alaa 1 Ait Dads, El Hadi 1 Allgower, Frank 1 Almehdawe, Eman 1 Almeida Júnior, Dilberto S. 1 Arafa, Ayman A. 1 Badawy, Mahmoud 1 Bai, Chuanzhi 1 Bairagi, Nandadulal 1 Bardina, Xavier 1 Basir, Fahad Al 1 Beattie, Christopher A. 1 Bellour, Azzeddine 1 Ben-Romdhane, Mohamed 1 Bhattacharya, Souvik 1 Borgioli, Francesco 1 Bortz, David M. 1 Böttcher, Philipp C. 1 Boussaada, Islam 1 Boussalsal, Mahmoud 1 Buonomo, Bruno 1 Cai, Tiaoyang 1 Cai, Yongli 1 Calleja, Renato C. 1 Calsina, Àngel 1 Calzada, Juan A. 1 Carletti, Margherita 1 Castro-Linares, Rafael 1 Cerasuolo, Marianna ...and 214 more Authors
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#### Cited in 74 Serials

 10 Journal of Mathematical Biology 9 Applied Mathematics and Computation 9 Automatica 8 Systems & Control Letters 8 Communications in Nonlinear Science and Numerical Simulation 6 International Journal of Control 6 Journal of Computational and Applied Mathematics 6 Journal of Vibration and Control 6 Chaos 4 Bulletin of Mathematical Biology 4 Applied Mathematics Letters 4 SIAM Journal on Applied Dynamical Systems 4 Mathematical Biosciences and Engineering 3 Journal of Mathematical Analysis and Applications 3 Mathematical Biosciences 3 Numerische Mathematik 3 Linear Algebra and its Applications 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Advances in Difference Equations 2 International Journal of Systems Science 2 BIT 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 SIAM Journal on Applied Mathematics 2 International Journal of Robust and Nonlinear Control 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 Dynamical Systems 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Journal of Biological Dynamics 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Theoretical Biology 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Computers & Mathematics with Applications 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physica A 1 Chaos, Solitons and Fractals 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Theoretical Population Biology 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Journal of the Indonesian Mathematical Society 1 Acta Mechanica Sinica 1 Applications and Applied Mathematics 1 Computational & Mathematical Methods in Medicine 1 International Journal of Structural Stability and Dynamics 1 Journal of Computational Dynamics 1 Mathematics 1 Nonautonomous Dynamical Systems 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Function Spaces 1 Cogent Mathematics
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#### Cited in 25 Fields

 78 Ordinary differential equations (34-XX) 75 Biology and other natural sciences (92-XX) 50 Systems theory; control (93-XX) 49 Numerical analysis (65-XX) 33 Dynamical systems and ergodic theory (37-XX) 15 Partial differential equations (35-XX) 12 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 6 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 3 Difference and functional equations (39-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

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