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Author ID: bellen.alfredo Recent zbMATH articles by "Bellen, Alfredo"
Published as: Bellen, Alfredo; Bellen, A.
Homepage: https://www.dmi.units.it/~bellen/
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 1,351 times in 981 Documents Cited by Year
Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
Bellen, A.; Zennaro, M.
288
1992
Numerical methods for delay differential equations. Zbl 1038.65058
Bellen, Alfredo; Zennaro, Marino
256
2003
Methods for linear systems of circuit delay differential equations of neutral type. Zbl 0952.94015
Bellen, Alfredo; Guglielmi, Nicola; Ruehli, Albert E.
98
1999
One-step collocation for delay differential equations. Zbl 0538.65047
Bellen, A.
53
1984
Stability analysis of one-step methods for neutral delay-differential equations. Zbl 0644.65049
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
49
1988
Asymptotic stability properties of \(\theta\)-methods for the pantograph equation. Zbl 0878.65064
Bellen, A.; Guglielmi, N.; Torelli, L.
44
1997
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.
40
1990
Numerical stability of nonlinear delay differential equations of neutral type. Zbl 0980.65077
Bellen, Alfredo; Guglielmi, Nicola; Zennaro, Marino
39
2000
On the contractivity and asymptotic stability of systems of delay differential equations of neutral type. Zbl 0917.65071
Bellen, A.; Guglielmi, N.; Zennaro, M.
35
1999
Numerical methods for delay differential equations. Reprint of the 2003 hardback ed. Zbl 1255.65129
Bellen, Alfredo; Zennaro, Marino
33
2013
Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method. Zbl 0577.65064
Bellen, Alfredo; Zennaro, Marino
28
1985
Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems. Zbl 0949.65072
Bellen, A.; Maset, S.
27
2000
Contractivity of waveform relaxation Runge-Kutta iterations and related limit methods for dissipative systems in the maximum norm. Zbl 0818.65067
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
27
1994
Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay. Zbl 1031.65089
Bellen, Alfredo
26
2002
Parallel algorithms for initial-value problems for difference and differential equations. Zbl 0675.65134
Bellen, Alfredo; Zennaro, Marino
25
1989
Recent trends in the numerical solution of retarded functional differential equations. Zbl 1178.65078
Bellen, Alfredo; Maset, Stefano; Zennaro, Marino; Guglielmi, Nicola
24
2009
Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population. Zbl 1238.34108
Muroya, Yoshiaki; Bellen, Alfredo; Enatsu, Yoichi; Nakata, Yukihiko
22
2012
The use of Runge-Kutta formulae in waveform relaxation methods. Zbl 0786.65058
Bellen, Alfredo; Zennaro, Marino
20
1993
Parallel ODE-solvers with stepsize control. Zbl 0707.65051
Bellen, A.; Vermiglio, R.; Zennaro, M.
18
1990
Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays. Zbl 1109.65112
Bellen, A.; Brunner, H.; Maset, S.; Torelli, L.
18
2006
Solving neutral delay differential equations with state-dependent delays. Zbl 1166.65034
Bellen, Alfredo; Guglielmi, Nicola
16
2009
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.
16
1989
Stability properties of interpolants for Runge-Kutta methods. Zbl 0691.65056
Bellen, Alfredo; Zennaro, Marino
14
1988
Time-point relaxation Runge-Kutta methods for ordinary differential equations. Zbl 0783.65063
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
14
1993
Constrained mesh methods for functional differential equations. Zbl 0577.65125
Bellen, A.
13
1985
Monotone methods for periodic solutions of second order scalar functional differential equations. Zbl 0536.65065
Bellen, A.
12
1983
A collocation method for boundary value problems of differential equations with functional arguments. Zbl 0529.65053
Bellen, A.; Zennaro, M.
12
1984
Contractivity of continuous Runge-Kutta methods for delay differential equations. Zbl 0939.65100
Bellen, A.
11
1997
Parallelism across the steps of difference and differential equations. Zbl 0675.65133
Bellen, A.
10
1989
Unconditional contractivity in the maximum norm of diagonally split Runge-Kutta methods. Zbl 0873.65074
Bellen, A.; Torelli, L.
7
1997
Cohen’s iteration process for boundary value problems for functional differential equations. Zbl 0455.34049
Bellen, Alfredo
6
1979
A note of mean convergence of Lagrange interpolation. Zbl 0484.41003
Bellen, Alfredo
6
1981
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.
6
1990
The collocation method of the numerical approximation of the periodic solutions of functional differential equations. Zbl 0419.65050
Bellen, A.
6
1979
Numerical methods for delay models in biomathematics. Zbl 1387.92007
Bellen, A.; Guglielmi, N.; Maset, S.
6
2006
A Runge-Kutta-Nyström method for delay differential equations. Zbl 0566.65066
Bellen, Alfredo
5
1985
Contractive intitializing methods for the pantograph equation of neutral type. Zbl 1018.65099
Bellen, A.; Maset, S.; Torelli, L.
5
2001
Some applications of continuous Runge-Kutta methods. Zbl 0866.65049
Bellen, A.; Vermiglio, R.
4
1996
Local error estimation for singly-implicit formulas by two-step Runge- Kutta methods. Zbl 0783.65062
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
3
1992
Some open problems on the mean convergence of generalized Lagrange interpolation. Zbl 0726.41002
Bellen, Alfredo
2
1988
About stability of some functional differential equations of neutral type. Zbl 0820.34045
Bellen, A.; Kolmanovskij, V. B.; Torelli, L.; Vermiglio, R.
1
1995
Sopra un metodo per il calcolo numerico delle radici reali di una equazione a prescindere dalla loro separazione. Zbl 0206.46502
Bellen, Alfredo
1
1970
Recent approaches for the numerical solution of state-dependent delay differential equations with discontinuities. Zbl 1308.34099
Bellen, Alfredo
1
2013
Su alcune possibili estensioni delle formule di quadratura gaussiane. Zbl 0512.41022
Bellen, A.; Guerra, S.
1
1982
Un teorema di convergenza del metodo di collocazione per il calcolo degli autovalori di equazioni funzionali lineari. Zbl 0327.65076
Bellen, Alfredo; Guerra, Sergio
1
1975
Metodi di proiezione estesi. Zbl 0441.65042
Bellen, Alfredo
1
1980
Parallel methods for ordinary differential equations. Zbl 0785.00022
1
1993
Numerical methods for delay differential equations. Reprint of the 2003 hardback ed. Zbl 1255.65129
Bellen, Alfredo; Zennaro, Marino
33
2013
Recent approaches for the numerical solution of state-dependent delay differential equations with discontinuities. Zbl 1308.34099
Bellen, Alfredo
1
2013
Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population. Zbl 1238.34108
Muroya, Yoshiaki; Bellen, Alfredo; Enatsu, Yoichi; Nakata, Yukihiko
22
2012
Recent trends in the numerical solution of retarded functional differential equations. Zbl 1178.65078
Bellen, Alfredo; Maset, Stefano; Zennaro, Marino; Guglielmi, Nicola
24
2009
Solving neutral delay differential equations with state-dependent delays. Zbl 1166.65034
Bellen, Alfredo; Guglielmi, Nicola
16
2009
Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays. Zbl 1109.65112
Bellen, A.; Brunner, H.; Maset, S.; Torelli, L.
18
2006
Numerical methods for delay models in biomathematics. Zbl 1387.92007
Bellen, A.; Guglielmi, N.; Maset, S.
6
2006
Numerical methods for delay differential equations. Zbl 1038.65058
Bellen, Alfredo; Zennaro, Marino
256
2003
Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay. Zbl 1031.65089
Bellen, Alfredo
26
2002
Contractive intitializing methods for the pantograph equation of neutral type. Zbl 1018.65099
Bellen, A.; Maset, S.; Torelli, L.
5
2001
Numerical stability of nonlinear delay differential equations of neutral type. Zbl 0980.65077
Bellen, Alfredo; Guglielmi, Nicola; Zennaro, Marino
39
2000
Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems. Zbl 0949.65072
Bellen, A.; Maset, S.
27
2000
Methods for linear systems of circuit delay differential equations of neutral type. Zbl 0952.94015
Bellen, Alfredo; Guglielmi, Nicola; Ruehli, Albert E.
98
1999
On the contractivity and asymptotic stability of systems of delay differential equations of neutral type. Zbl 0917.65071
Bellen, A.; Guglielmi, N.; Zennaro, M.
35
1999
Asymptotic stability properties of \(\theta\)-methods for the pantograph equation. Zbl 0878.65064
Bellen, A.; Guglielmi, N.; Torelli, L.
44
1997
Contractivity of continuous Runge-Kutta methods for delay differential equations. Zbl 0939.65100
Bellen, A.
11
1997
Unconditional contractivity in the maximum norm of diagonally split Runge-Kutta methods. Zbl 0873.65074
Bellen, A.; Torelli, L.
7
1997
Some applications of continuous Runge-Kutta methods. Zbl 0866.65049
Bellen, A.; Vermiglio, R.
4
1996
About stability of some functional differential equations of neutral type. Zbl 0820.34045
Bellen, A.; Kolmanovskij, V. B.; Torelli, L.; Vermiglio, R.
1
1995
Contractivity of waveform relaxation Runge-Kutta iterations and related limit methods for dissipative systems in the maximum norm. Zbl 0818.65067
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
27
1994
The use of Runge-Kutta formulae in waveform relaxation methods. Zbl 0786.65058
Bellen, Alfredo; Zennaro, Marino
20
1993
Time-point relaxation Runge-Kutta methods for ordinary differential equations. Zbl 0783.65063
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
14
1993
Parallel methods for ordinary differential equations. Zbl 0785.00022
1
1993
Strong contractivity properties of numerical methods for ordinary and delay differential equations. Zbl 0749.65042
Bellen, A.; Zennaro, M.
288
1992
Local error estimation for singly-implicit formulas by two-step Runge- Kutta methods. Zbl 0783.65062
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
3
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.
40
1990
Parallel ODE-solvers with stepsize control. Zbl 0707.65051
Bellen, A.; Vermiglio, R.; Zennaro, M.
18
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.
6
1990
Parallel algorithms for initial-value problems for difference and differential equations. Zbl 0675.65134
Bellen, Alfredo; Zennaro, Marino
25
1989
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.
16
1989
Parallelism across the steps of difference and differential equations. Zbl 0675.65133
Bellen, A.
10
1989
Stability analysis of one-step methods for neutral delay-differential equations. Zbl 0644.65049
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
49
1988
Stability properties of interpolants for Runge-Kutta methods. Zbl 0691.65056
Bellen, Alfredo; Zennaro, Marino
14
1988
Some open problems on the mean convergence of generalized Lagrange interpolation. Zbl 0726.41002
Bellen, Alfredo
2
1988
Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method. Zbl 0577.65064
Bellen, Alfredo; Zennaro, Marino
28
1985
Constrained mesh methods for functional differential equations. Zbl 0577.65125
Bellen, A.
13
1985
A Runge-Kutta-Nyström method for delay differential equations. Zbl 0566.65066
Bellen, Alfredo
5
1985
One-step collocation for delay differential equations. Zbl 0538.65047
Bellen, A.
53
1984
A collocation method for boundary value problems of differential equations with functional arguments. Zbl 0529.65053
Bellen, A.; Zennaro, M.
12
1984
Monotone methods for periodic solutions of second order scalar functional differential equations. Zbl 0536.65065
Bellen, A.
12
1983
Su alcune possibili estensioni delle formule di quadratura gaussiane. Zbl 0512.41022
Bellen, A.; Guerra, S.
1
1982
A note of mean convergence of Lagrange interpolation. Zbl 0484.41003
Bellen, Alfredo
6
1981
Metodi di proiezione estesi. Zbl 0441.65042
Bellen, Alfredo
1
1980
Cohen’s iteration process for boundary value problems for functional differential equations. Zbl 0455.34049
Bellen, Alfredo
6
1979
The collocation method of the numerical approximation of the periodic solutions of functional differential equations. Zbl 0419.65050
Bellen, A.
6
1979
Un teorema di convergenza del metodo di collocazione per il calcolo degli autovalori di equazioni funzionali lineari. Zbl 0327.65076
Bellen, Alfredo; Guerra, Sergio
1
1975
Sopra un metodo per il calcolo numerico delle radici reali di una equazione a prescindere dalla loro separazione. Zbl 0206.46502
Bellen, Alfredo
1
1970
all top 5

Cited by 1,270 Authors

36 Wang, Wansheng
34 Zhang, Chengjian
30 Li, Shoufu
26 Huang, Chengming
23 Jackiewicz, Zdzislaw
22 Liu, Mingzhu
22 Wen, Liping
22 Xu, Yang
21 Bellen, Alfredo
20 Zhao, Jingjun
18 Baker, Christopher Thomas Hale
18 Brunner, Hermann
18 Zennaro, Marino
17 Yu, Yuexin
14 Gan, Siqing
14 Vermiglio, Rossana
13 Maset, Stefano
13 Xiao, Aiguo
12 Hu, Guangda
12 Tian, Hongjiong
11 Guglielmi, Nicola
10 Breda, Dimitri
10 Li, Dongfang
9 Cong, Yuhao
8 Čermák, Jan
8 van der Houwen, Pieter J.
8 Yang, Zhanwen
8 Yi, Lijun
7 Humphries, Antony R.
7 Teng, Zhi-dong
6 Abdi, Ali
6 Conte, Dajana
6 De Luca, Jayme
6 Koto, Toshiyuki
6 Michiels, Wim
6 Muroya, Yoshiaki
6 Pimenov, Vladimir Germanovich
6 Shahmorad, Sedaghat
6 Subburayan, Veerasamy
6 Vecchio, Antonia
6 Wang, Zhongqing
6 Wen, Jiao
6 Zhang, Gengen
5 Ağirseven, Deniz
5 Andò, Alessia
5 Ashyralyev, Allaberen
5 Dehghan Takht Fooladi, Mehdi
5 Duressa, Gemechis File
5 Erdogan, Fevzi
5 Hendy, Ahmed S.
5 Hu, Peng
5 Ordokhani, Yadollah
5 Paul, Christopher A. H.
5 Russo, Elvira
5 Sommeijer, Ben P.
5 Song, Minghui
5 Wang, Lei
5 Zhang, Guilai
5 Zhang, Qifeng
4 Altmann, Robert
4 Alwan, Mohamad S.
4 Amiraliyev, Gabil M.
4 Balasubramaniam, Pagavathigounder
4 Buckwar, Evelyn
4 Burrage, Kevin
4 Cao, Dengqing
4 De Staelen, Rob H.
4 Ding, Xiaohua
4 Fan, Yan
4 Gander, Martin Jakob
4 Garrappa, Roberto
4 Hartung, Ferenc
4 He, Ping
4 Hojjati, Gholamreza
4 Ishiwata, Emiko
4 Jiang, Yaolin
4 Li, Min
4 Liang, Hui
4 Liu, Xinzhi
4 Maleki, Mohammad Reza
4 Pepe, Pierdomenico
4 Qin, Tingting
4 Rebenda, Josef
4 Sedaghat, Salameh
4 Shah, Kamal
4 Torelli, Lucio
4 Van der Veen, Wolter Adriaan
4 Wang, Dongling
4 Wen, Jinming
4 Woldaregay, Mesfin Mekuria
4 Yan, Xiaoqiang
4 Zhan, Rui
3 Agarwal, Ravi P.
3 Bartoszewski, Zbigniew
3 Benkhaldoun, Fayssal
3 Bhrawy, Ali Hassan
3 Bica, Alexandru Mihai
3 Bradji, Abdallah
3 Brugnano, Luigi
3 Cen, Dakang
...and 1,170 more Authors
all top 5

Cited in 192 Serials

113 Journal of Computational and Applied Mathematics
89 Applied Mathematics and Computation
76 Applied Numerical Mathematics
35 Computers & Mathematics with Applications
33 International Journal of Computer Mathematics
22 Numerical Algorithms
20 Mathematics and Computers in Simulation
17 BIT
17 Communications in Nonlinear Science and Numerical Simulation
15 Journal of the Franklin Institute
14 Numerische Mathematik
13 Journal of Mathematical Analysis and Applications
13 Applied Mathematical Modelling
13 Abstract and Applied Analysis
13 Advances in Difference Equations
12 Journal of Scientific Computing
12 Computational and Applied Mathematics
11 Mathematics of Computation
11 Automatica
11 Applied Mathematics Letters
10 SIAM Journal on Scientific Computing
10 Journal of Applied Mathematics and Computing
9 Mathematical Methods in the Applied Sciences
9 Chaos, Solitons and Fractals
9 Discrete Dynamics in Nature and Society
8 Calcolo
8 Advances in Computational Mathematics
8 Journal of Difference Equations and Applications
8 Journal of Applied Mathematics
7 Computing
7 SIAM Journal on Numerical Analysis
7 Numerical Methods for Partial Differential Equations
7 Mathematical and Computer Modelling
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Frontiers of Mathematics in China
6 International Journal of Control
6 Journal of Differential Equations
6 Journal of Integral Equations and Applications
6 Complexity
6 Nonlinear Dynamics
6 Asian Journal of Control
5 Numerical Functional Analysis and Optimization
5 Nonlinear Analysis. Hybrid Systems
4 Journal of Mathematical Biology
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Journal of Dynamics and Differential Equations
4 International Journal of Robust and Nonlinear Control
4 Chaos
4 Nonlinear Analysis. Real World Applications
4 Discrete and Continuous Dynamical Systems. Series B
4 International Journal of Applied and Computational Mathematics
3 Journal of Mathematical Physics
3 Physica D
3 Acta Mathematicae Applicatae Sinica. English Series
3 Science in China. Series A
3 Journal of Inequalities and Applications
3 Boundary Value Problems
3 Mathematical Sciences
3 Journal of Computational Dynamics
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 Computers and Fluids
2 International Journal of Systems Science
2 Journal of Computational Physics
2 Periodica Mathematica Hungarica
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Information Sciences
2 International Journal for Numerical Methods in Engineering
2 Journal of Optimization Theory and Applications
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Systems & Control Letters
2 Circuits, Systems, and Signal Processing
2 Acta Mathematica Hungarica
2 Journal of Computational Mathematics
2 Neural Networks
2 Applications of Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Mathematics and Mathematical Physics
2 Numerical Linear Algebra with Applications
2 Discrete and Continuous Dynamical Systems
2 Differential Equations and Dynamical Systems
2 Fractional Calculus & Applied Analysis
2 Journal of Dynamical and Control Systems
2 Qualitative Theory of Dynamical Systems
2 Mathematical Modelling and Analysis
2 Iranian Journal of Science and Technology. Transaction A: Science
2 Stochastics and Dynamics
2 International Journal of Computational Methods
2 Mediterranean Journal of Mathematics
2 Journal of Control Theory and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Journal of Biological Dynamics
2 Nonlinear Oscillations
2 International Journal of Differential Equations
2 Advances in Applied Mathematics and Mechanics
2 ISRN Applied Mathematics
2 Journal of Theoretical Biology
2 Iranian Journal of Numerical Analysis and Optimization
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
...and 92 more Serials
all top 5

Cited in 35 Fields

681 Numerical analysis (65-XX)
518 Ordinary differential equations (34-XX)
125 Integral equations (45-XX)
102 Partial differential equations (35-XX)
100 Systems theory; control (93-XX)
79 Biology and other natural sciences (92-XX)
38 Probability theory and stochastic processes (60-XX)
35 Difference and functional equations (39-XX)
33 Dynamical systems and ergodic theory (37-XX)
26 Approximations and expansions (41-XX)
19 Operator theory (47-XX)
12 Operations research, mathematical programming (90-XX)
11 Real functions (26-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Mechanics of deformable solids (74-XX)
8 Fluid mechanics (76-XX)
6 Computer science (68-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Integral transforms, operational calculus (44-XX)
5 Optics, electromagnetic theory (78-XX)
4 Special functions (33-XX)
4 Statistics (62-XX)
4 Mechanics of particles and systems (70-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Quantum theory (81-XX)
2 Geophysics (86-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)

Citations by Year