Pubblicazioni del Gruppo (A. Bellen, D.
Breda, N. Guglielmi, S. Maset,
I. Moret, P. Novati, L. Torelli,
R. Vermiglio, M. Zennaro) dal 1988
Su riviste
1. A. BELLEN - Z. JACKIEWICZ - M. ZENNARO:
Stability analysis of one-step methods for neutral delay differential
equations. Numer. Math. 52 (1988), 605-619
2. A. BELLEN - M. ZENNARO: Stability properties
of interpolants for Runge-Kutta methods. SIAM J. Numer. Anal.
25 (1988), 411-432
3. A. BELLEN: Alcuni problemi aperti sulla
convergenza in media dell'interpolazione lagrangiana estesa. Rend.
Ist. Matem. Univ. Trieste vol. XX Suppl. (1988), 3-9
4. I. MORET: On a general iterative scheme
for Newton-type methods. Numer. Funct. Anal. Optim. 9 (1987-88),
1115-1137
5. R. VERMIGLIO: Natural continuous extensions
of Runge-Kutta methods for Volterra integrodifferential equations. Numer.
Math. 53(1988), 439-458
6. M. ZENNARO: Natural Runge-Kutta and projection
methods. Numer. Math. 53 (1988), 423-438
7. A. BELLEN - Z. JACKIEWICZ - R. VERMIGLIO
- M. ZENNARO: Natural continuous extensions of Runge-Kutta methods for
Volterra integral equations of the second kind and their applications. Math.
Comp. 52 (1989), 49-63
8. A. BELLEN - M. ZENNARO: Parallel algorithms
for initial value problems for nonlinear vector difference and differential
equations. J. Comput. Appl. Math. 25 (1989), 341-350
9. I. MORET: On the convergence of inexact
quasi-Newton methods. Inter. J. Comp. Math. 28 (1989), 117-137
10. I. MORET: A Kantorovich-type theorem for inexact
Newton methods. Numer. Funct. Anal. Optim. 10 (1989), 351-365
11. I. MORET: A continuation procedure based on
projected Newton steps. Computing 43 (1989), 13-25
12. I. MORET - P. OMARI: An iterative variant of
the degenerate kernel method for solving Fredholm integral equations. Math.
Nachr. 143 (1989), 41-54
13. L. TORELLI: Stability of numerical methods for
delay differential equations. J. Comp. Appl. Math. 25(1989), 15-26
14. A. BELLEN - Z. JACKIEWICZ - R. VERMIGLIO - M.
ZENNARO: Stability analysis of Runge-Kutta methods for Volterra integral
equations of the second kind. IMA J. Numer. Anal. 10 (1990), 103-118
15. A. BELLEN - Z. JACKIEWICZ - R. VERMIGLIO - M.
ZENNARO: Stability analysis of trapezoidal method for Volterra Integral
Equations with completely positive kernels. J. Math. Anal. Appl.
152 (1990), 324-342
16. A. BELLEN - Z. JACKIEWICZ - M. ZENNARO: Local
error estimation for singly-implicit formulas by singly-implicit Runge-Kutta
methods. BIT 32 (1990), 104-117
17. A. BELLEN - R. VERMIGLIO - M. ZENNARO: Parallel
ODE solvers with step-size control. J. Comput. Appl. Math. 31 (1990),
277-293
18. I. MORET: Updated projection in continuation
methods. Numer. Funct. Anal. Optim. 11 (1990), 769-792
19. I. MORET - P. OMARI: A projective Newton method
for semilinaer operator equations in Banach spaces. IMA J. Numer. Anal.
10 (1990), 505-520
20. I. MORET - P. OMARI: A quasi-Newton method for
solving fixed point problems in Hilbert spaces. Numer. Math. 59
(1991), 159-177
21. I. MORET - P. OMARI: A Krylov subspace method
for nonlinear operator equations. Atti Sem. Mat. Fis. Univ. Modena
30 (1991), 351-365
22. B. OWREN - M. ZENNARO: Order barriers for continuous
explicit Runge-Kutta methods. Math. Comp. 56 (1991), 645-661
23. L. TORELLI: A sufficient condition for GPN-stability
for delay differential equations. Numer. Math. 59 (1991), 311-320
24. A. BELLEN - M. ZENNARO: Strong contractivity
properties of numerical methods for ordinary and delay differential equations.
Appl. Numer. Math. 9 (1992), 321-346
25. Z. JACKIEWICZ - M. ZENNARO: Variable stepsize
explicit two-step Runge-Kutta methods. Math. Comp. 59 (1992), 421-438
26. I. MORET: A projection method for computing
turning points of nonlinear equations. Computing 48 (1992), 133-147
27. I. MORET: A method for the computation of nonsimple
turning points corresponding to cusps. J. Comput. Appl. Math. 40 (1992),
269-284
28. B. OWREN - M. ZENNARO: Derivation of efficient
continuous explicit Runge-Kutta methods. SIAM J. Sci. Stat. Comput.
13 (1992), 1488-1501
29. R. VERMIGLIO: On the stability of Runge-Kutta
methods for delay integral equations. Numer. Math. 61 (1992),
561-577
30. A. BELLEN - Z. JACKIEWICZ - M. ZENNARO: Time-point
relaxation Runge-Kutta methods for ordinary differential equations. J.
Comput. Appl. Math. 45 (1993), 121-137
31. A. BELLEN - M. ZENNARO: The use of Runge-Kutta
formulae in waveform relaxation methods. Appl. Numer. Math. 11 (1993),
95-114
32. I. MORET: Multilevel methods for the approximation
of singular solutions of completely continuous operator equations. J.
Int. Equat. Appl. 5 (1993), 131-148
33. L. TORELLI - R. VERMIGLIO: On the stability
of continuous quadrature rules for differential equations with several
constant delays. IMA J. Numer. Anal. 13 (1993), 291-302
34. R. VERMIGLIO: Multistep high order interpolants
of Runge-Kutta methods. J. Comput. Appl. Math. 45 (1993), 75-88
35. R. VERMIGLIO - M. ZENNARO: Multistep natural
continuous extensions of Runge-Kutta methods: the potential for stable
interpolation. Appl. Numer. Math. 12 (1993), 521-546
36. M. ZENNARO: Contractivity of Runge-Kutta methods
with respect to forcing terms. Appl. Numer. Math. 11 (1993), 321-345
37. A. BELLEN - Z. JACKIEWICZ - M. ZENNARO: Contractivity
of waveform relaxation Runge-Kutta iterations and related limit methods
for dissipative systems in the maximum norm. SIAM J. Numer. Anal.
31 (1994), 499-523
38. A. BELLEN - G. MICULA: Spline approximations
for neutral differential equations. Revue d'Analyse Numerique et de
Theorie de l'Approximation 23(1994), 117-125
39. V. KOLMANOVSKII - L. TORELLI - R. VERMIGLIO:
Stability of some test equations with delay, SIAM J. Math. Anal.
25 (1994), 948-961
40. I. MORET: Krylov-type methods for the computation
of critical solutions of nonlinear equations. Numer. Funct. Anal. Optim.
15 (1994), 77-86
41. I. MORET: The approximation of generalized turning
points by Krylov subspace methods. Numer. Math. 68(1994), 341-353
42. A. BELLEN - V. KOLMANOVSKII - L. TORELLI - R.
VERMIGLIO: About stability of some functional differential equations of
neutral type. J. Math. Anal. Appl. 189(1995), 59-84
43. Z. JACKIEWICZ - R. RENAUT - M. ZENNARO: Explicit
two-step Runge-Kutta methods. Application of Mathematics 40(1995),
433-456
44. Z. JACKIEWICZ - R. VERMIGLIO - M. ZENNARO: Variable
stepsize diagonally implicit multistage integration methods for ordinary
differential equations. Appl. Numer. Math. 16(1995), 343-367
45. I. MORET - L. TORELLI: A projective direct method
for the computation of Hopf bifurcation points. Intl. J. Comput. Math.
56(1995), 231-244
46. J.H. VERNER - M. ZENNARO: Continuous explicit
Runge-Kutta methods of order five. Math. Comp. 64(1995), 1123-1146
47. J.H. VERNER - M. ZENNARO: The orders of embedded
continuous explicit Runge-Kutta methods. BIT 35(1995), 417-427
48. A. BELLEN - R. VERMIGLIO: Some applications
of continuous Runge-Kutta methods. Appl. Numer. Math. 22(1996),
63-80
49. N. GUGLIELMI: Inexact Newton methods for the
steady-state analysis of nonlinear circuits. Math. Mod. Meth. Appl.
Sci. 6(1996), 43-57
50. N. GUGLIELMI - R. GUERRIERI - G. BACCARANI:
Highly-constrained neural networks for industrial quality control. IEEE
Trans. Neural Networks 7(1996), 206-213
51. E. HAIRER - M. ZENNARO: On error growth functions
of Runge-Kutta methods. Appl. Numer. Math. 22(1996), 205-216
52. Z. JACKIEWICZ - R. VERMIGLIO: General Linear
Methods with external stages of different orders. BIT 36(1996),
688-712
53. Z. JACKIEWICZ - R. VERMIGLIO - M. ZENNARO: Regularity
properties of Runge-Kutta methods for ordinary differential equations.
Appl. Numer. Math. 22(1996), 251-262
54. A. MONTANARI - N. GUGLIELMI: Projection pursuit
e indici di proiezione: un'analisi di tipo euristico. Statistica
(1996)
55. A. BELLEN: Contractivity of continuous Runge-Kutta
methods for delay differential equations. Appl. Numer. Math. 24(1997),
219-232
56. A. BELLEN - N. GUGLIELMI - L. TORELLI: Asymptotic
stability properties of q-methods for the pantograph equation. Appl.
Numer. Math. 24(1997), 279-294
57. A. BELLEN - L. TORELLI: Unconditional contractivity
in the maximum norm of Diagonally Split Runge-Kutta Methods. SIAM J.
Numer. Anal. 34(1997), 528-543
58. E. CELLEDONI - I. MORET: A Krylov projection
method for systems of ODEs. Appl. Numer. Math. 24(1997), 365-378
59. N. GUGLIELMI: On the stability of Runge-Kutta
methods for delay differential equations. Numer. Math. 77(1997),
467-485
60. Z. JACKIEWICZ - R. VERMIGLIO - M. ZENNARO: Regularity
properties of Runge-Kutta methods for delay differential equations. Appl.
Numer. Math. 24(1997), 265-278
61. Z. JACKIEWICZ - R. VERMIGLIO - M. ZENNARO: Regularity
properties of multistage integration methods. J. Comput. Appl. Math.
87(1997), 285-302
62. I. MORET: A note in superlinear convergence
of GMRES. SIAM J. Numer. Anal. 34(1997), 513-516
63. M. ZENNARO: Asymptotic stability analysis of
Runge-Kutta methods for nonlinear systems of delay differential equations.
Numer. Math. 77(1997), 549-563
64. N. GUGLIELMI: Delay dependent stability regions
of numerical methods for delay differential equations. IMA J. Numer.
Anal. 18(1998), 399-418
65. I. MORET: Discrete Krylov subspace methods for
equations of the second kind. Intl. J. Comput. Math. 69(1998), 351-369
66. A. BELLEN - N. GUGLIELMI - M. ZENNARO: On the
contractivity and asymptotic stability of systems of delay differential
equations of neutral type. BIT 39(1999), 1-24
67. A. BELLEN - N. GUGLIELMI - A. RUEHLI: Methods
for linear systems of circuit delay differential equations of neutral
type. IEEE Transactions on Circuits and Systems I: Fundamental Theory
and Applications 46(1999), 212-216
68. N. GUGLIELMI – E. HAIRER: Order stars and stability
for delay differential equations. Numer. Math. 83(1999), 371-383
69. S. MASET: Asymptotic stability of numerical solution
of pure linear delay differential equations as abstract Cauchy problems.
J. Comput. Appl. Math. 111(1999), 163-172
70. A. BELLEN - S. MASET: Numerical solution of constant
coefficient linear delay differential equations as abstract Cauchy problems.
Numer. Math. 84(2000), 351-374
71. A. BELLEN - N. GUGLIELMI - M. ZENNARO: Numerical
stability of nonlinear delay differential equations of neutral type. J.
Comput. Appl. Math. 125(2000), 251-263
72. A. BELLEN – S. MASET – L. TORELLI: Contractive initializing
methods for the pantograph equation of neutral type. In Recent Trends in
Numerical Analysis, D. Trigiante Ed. Advances in the Theory of Computational
Mathematics 3(2000), 35-41
73. N. GUGLIELMI: An analytic proof of numerical stability
of Gaussian collocation for delay differential equations. Boll. Un.
Mat. Ital. vol. 1-B(2000), 95-116
74. N. GUGLIELMI: On the qualitative behaviour of numerical
methods for delay differential equations of neutral type. A case study:
Theta-methods. In Recent Trends in Numerical Analysis, D. Trigiante Ed.
Advances in the Theory of Computational Mathematics 3(2000), 175-184
75. S. MASET: Stability of Runge-Kutta methods for linear
delay differential equations. Numer. Math. 87(2000), 355-371
76. L. BERGAMASCHI – I. MORET – G. ZILLI: Inexact quasi-Newton
methods for sparse systems of nonlinear equations. Future Generation
Computer Systems 18(2001), 41-53
77. N. GUGLIELMI – E. HAIRER: Geometric proofs of numerical
stability for delay equations. IMA J. Numer. Anal. 21(2001),
439-450
78. N. GUGLIELMI – E. HAIRER: Implementing Radau IIA
methods for stiff delay differential equations. Computing 67(2001),
1-12
79. N. GUGLIELMI - M. ZENNARO: On the asymptotic properties
of a family of matrices. Linear Algebra Appl. 322(2001), 169-192
80. N. GUGLIELMI - M. ZENNARO: On the zero-stability
of variable stepsize multistep methods: the spectral radius approach.
Numer. Math. 88(2001), 445-458
81. N. GUGLIELMI: Asymptotic stability barriers for natural
Runge-Kutta processes for delay differential equations. SIAM J. Numer.
Anal. 39 (2001), 763-783
82. I. MORET - P. NOVATI: An interpolatory approximation
of the matrix exponential based on Faber polynomials. J. Comput. Appl.
Math. 131(2001), 361-380
83. I. MORET – P. NOVATI: The computation of functions
of matrices by truncated Faber series. Numer. Funct. Anal. Optimiz.
22(2001), 697-719
84. A. BELLEN: Preservation of superconvergence in the
numerical integration of delay differential equations with proportional
delay. IMA J. Num. Anal. 22(2002), 529-536
85. S. MASET: Instability of Runge-Kutta methods when
applied to linear systems of delay differential equations. Numer. Math.
90(2002), 555-562
86. S. MASET: A multigrid method of the second kind for
solving linear systems of ODEs discretized by continuous Runge-Kutta methods.
Intern. J. Computer Math. 79(2002), 823-839
87. P. NOVATI: A method based on Fejer points for the
computation of functions of nonsymmetric matrices. Appl. Numer.
Math. 44(2002), 201-224
88. P. NOVATI: Solving linear initial value problems
by Faber polynomials. Numer. Linear Alg. Appl. 10(2003), 247-270
89. N. GUGLIELMI - M. ZENNARO: On the limit products
of a family of matrices. Linear Algebra Appl. 362(2003), 11-27
90. N. GUGLIELMI - M. ZENNARO: Stability of one-leg Theta-methods
for the variable coefficient pantograph equation. IMA J. Numer.
Anal. 23(2003), 421-438
91. L. TORELLI - R. VERMIGLIO: A stable numerical
approach for implicit non-linear neutral delay differential equations.
BIT 43(2003), 195-215
Su atti di convegni
1. A. BELLEN: Parallelism across the steps for
difference and differential equations. In Proceedings of "Workshop on
Numerical Methods for ODE's. L'Aquila 1987". Lecture Notes in Mathematics
1386. Springer-Verlag, 1989
2. A. BELLEN - F. TAGLIAFERRO: A combined waveform-parallel
step method for ODEs. In: P.Messina-A.Murli (Eds), Proceedings "Parallel
Computing: Problems Methods and Applications". Elsevier 1990
3. N. GUGLIELMI - R. GUERRIERI - M. MASTRETTA -
L. DE VENA: Highly-constrained neural networks with applications to visual
inspection of machined parts. Proceedings "1993 International Conference
on Acoustics, Speech and Signal Processing", Minneapolis, 27-30/4/1993
4. S. MASET - A. SGARRO: An asymptotic theorem
for sustitution-resistant authentication codes. CISM Courses Lecture 339,
Springer-Verlag, 1993, 201-206
5. N. GUGLIELMI - R. GUERRIERI: An experimental
comparison of software methodologies for image based quality control. Proceedings
"1994 International Conference on Industrial Electronics, Control and Instrumentation",
Bologna, 5-9/9/1994
6. A. MONTANARI - N. GUGLIELMI: Exploratory projection
pursuit maximizing departure from unimodality. Atti "XXXVII Riunione Scientifica
della Societa' Italiana di Statistica", San Remo, 6-8/4/1994
7. A. RUEHLI - U. MIEKKALA - A. BELLEN - H. HEEB: Stable
time domain solutions for EMC problems using PEEC circuit models. Proceedings
"IEEE Int. Symp. on Electromagnetic Compatibility", Chicago, 1994
8. A. BENEDETTI - N. GUGLIELMI: Tracing characteristics
of smooth nonlinear resistive circuits by interval analysis. Proceedings
"ISCAS-96", Atlanta, 1996
9. S. QUAIA - S. PASTORE - L. TORELLI: Voltage sag analysis
through wavelet transform. Proceedings "9th Mediterranean Electrotechnical
Conference (MELECON 98)", Tel Aviv, Israel, 1998, 959-963
10. R. DARIS - L. TORELLI: Some indices for heavy-tailed
distributions. Atti del Convegno ASTIN 2000
11. A. BELLEN - M. ZENNARO: A free-stepsize implementation
of second order stable methods for neutral delay differential equations.
Proceedings “3rd IFAC Workshop on: Time Delay Systems”, Santa Fé,
2001
12. S. MASET: An asymptotically stable approach in the numerical
solution of delay differential equations. Proceedings “3rd IFAC
Workshop on: Time Delay Systems”, Santa Fé, 2001
In stampa su rivista
1. S. MASET: Numerical solution of retarded functional
differential equations as abstract Cauchy problems. J. Comput. Appl.
Math.
Rapporti interni e preprint
1. R. VERMIGLIO: Parallel step methods for
difference and differential equations: implementation on a hypercube.
Rapp. Tecn. P.F. Sistemi Informatici e Calcolo Parallelo. N.1/1 (1989)
2. A. BELLEN - Z. JACKIEWICZ - M. ZENNARO:
Stability analysis of time point relaxation Heun method. Rapp. Tecn. P.F.
Sistemi Informatici e Calcolo Parallelo. N.1/30 (1990)
3. A. BELLEN: PADETEST: A set
of real-life test differential equations for parallel computing. Rapp. Tecn.
P.F. Sistemi Informatici e Calcolo Parallelo. N.103 (1992)
4. P. NOVATI: Metodi polinomiali per l'approssimazione
di funzioni di matrici. Quaderno Matematico n. 410, Dipartimento di Scienze
Matematiche, Università di Trieste (1997)
5. A. BELLEN - N. GUGLIELMI - A. RUEHLI:
On a class of stable methods for linear systems of delay differential
equations of neutral type, IBM Watson Research Report RC21153(1998)
6. S. MASET: An abstract implicit Euler method
for retarded functional differential equations. Preprint (2000)
7. D. BREDA: The infinitesimal generator approach
for the computation of characteristic roots for delay differential equations
using BDF methods. Preprint (2002)
8. D. BREDA - S. MASET - R. VERMIGLIO: Numerical
computation of characteristic roots for delay differential equations. Preprint
(2002)
9. I. MORET - P. NOVATI: RD rational approximation
of the matrix exponential. Preprint (2002)
10. I. MORET - P. NOVATI: Interpolating functions of matrices
on zeros of quasi-kernel polynomials. Preprint (2002)
11. P. NOVATI: An explicit one-step method for stiff
problems. Preprint (2002)
Pubblicazioni a carattere monografico e di survey
1. M. ZENNARO: Metodi waveform relaxation per
la risoluzione numerica di grandi sistemi di equazioni differenziali ordinarie.
Rendiconti del Seminario Matematico e Fisico di Milano 64(1994), 57-75
2. M. ZENNARO: Delay differential equations: theory
and numerics. In "Theory and Numerics of Ordinary and Partial Differential
Equations", Advances in Numerical Analysis, Vol. IV, M. Ainsworth, J.
Levesley, W.A. Light e M. Marletta Eds., Clarendon Press, Oxford, 1995
Libri
1. A. BELLEN - M. ZENNARO: Numerical methods
for delay differential equations. Numerical Mathematics and Scientific
Computation, Oxford Science Publications. Oxford University Press, Oxford,
2003
Ultimo aggiornamento: 07/04/2003