elenco.pubbl

Elenco delle pubblicazioni di Marino ZENNARO

Articoli su riviste con referee

1. A. Bellen, M. Zennaro: Sulla ricerca di soluzioni periodiche di equazioni e disequazioni differenziali ordinarie e con ritardo, Boll. Un. Mat. Ital. (6) 2-B(1983), 803-817

2. A. Bellen, M. Zennaro: A collocation method for boundary value problems of differential equations with functional arguments, Computing 32(1984), 307-318

3. M. Zennaro: A class of linear operators in periodic function spaces including difference-differential operators, Rend. Ist. Matem. Univ. Trieste 16(1984), 10-27

4. M. Zennaro: Maximum principles for linear difference-differential operators in periodic function spaces, Numer. Math. 43(1984), 121-139

5. M. Zennaro: One-step collocation: uniform superconvergence, predictor-corrector method, local error estimate, SIAM J. Numer. Anal. 22(1985), 1135-1152

6. A. Bellen, M. Zennaro: Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method, Numer. Math. 47(1985), 301-316

7. M. Zennaro: Natural continuous extensions of Runge-Kutta methods, Math. Comp. 46(1986), 119-133

8. M. Zennaro: P-stability properties of Runge-Kutta methods for delay differential equations, Numer. Math. 49(1986), 305-318

9. A. Bellen, M. Zennaro: Stability properties of interpolants for Runge-Kutta methods, SIAM J. Numer. Anal. 25(1988), 411-432

10. A. Bellen, Z. Jackiewicz, M. Zennaro: Stability analysis of one-step methods for neutral delay differential equations, Numer. Math. 52(1988), 605-619

11. M. Zennaro: Natural Runge-Kutta and projection methods, Numer. Math. 53(1988), 423-438

12. 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

13. A. Bellen, M. Zennaro: Parallel algorithms for initial value problems for nonlinear difference and differential equations, J. Comput. Appl. Math. 25(1989), 341-350

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, R. Vermiglio, M. Zennaro: Parallel ODE-solvers with step-size control, J. Comput. Appl. Math. 31(1990), 277-293

17. B. Owren, M. Zennaro: Order barriers for continuous explicit Runge-Kutta methods, Math. Comp. 56 (1991), 645-661

18. A. Bellen, M. Zennaro: Strong contractivity properties of numerical methods for ordinary and delay differential equations, Appl. Numer. Math. 9(1992), 321-346

19. A. Bellen, Z. Jackiewicz, M. Zennaro: Local error estimation for singly-implicit formulas by two-step Runge-Kutta methods, BIT 32(1992), 104-117

20. Z. Jackiewicz, M. Zennaro: Variable stepsize explicit two-step Runge-Kutta methods, Math. Comp. 59(1992), 421-438

21. B. Owren, M. Zennaro: Derivation of efficient continuous explicit Runge-Kutta methods, SIAM J. Sci. Stat. Comput. 13(1992), 1488-1501

22. A. Bellen, Z. Jackiewicz, M. Zennaro: Time point relaxation Runge-Kutta methods for ordinary differential equations, J. Comput. Appl. Math. 45(1993), 121-137

23. M. Zennaro: Contractivity of Runge-Kutta methods with respect to forcing terms, Appl. Numer. Math. 11 (1993), 321-345

24. A. Bellen, M. Zennaro: The use of Runge-Kutta formulae in waveform relaxation methods, Appl. Numer. Math. 11(1993), 95-114

25. R. Vermiglio, M. Zennaro: Multistep natural continuous extensions of Runge-Kutta methods: the potential for stable interpolation, Appl. Numer. Math. 12(1993), 521-546

26. 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

27. J.H. Verner, M. Zennaro: Continuous explicit Runge-Kutta methods of order 5, Math. Comp. 64(1995), 1123-1146

28. Z. Jackiewicz, R. Vermiglio, M. Zennaro: Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations, Appl. Numer. Math. 16(1995), 343-367

29. J.H. Verner, M. Zennaro: The orders of embedded continuous explicit Runge-Kutta methods, BIT 35(1995), 417-427

30. Z. Jackiewicz, R. Renaut, M. Zennaro: Explicit two-step Runge-Kutta methods, Appl. Math. 40(1995), 433-456 [non inserito nel CINECA perché non è conosciuta la rivista]

31. E. Hairer, M. Zennaro: On error growth functions of Runge-Kutta methods, Appl. Numer. Math. 22(1996), 205-216

32. Z. Jackiewicz, R. Vermiglio, M. Zennaro: Regularity properties of Runge-Kutta methods for ordinary differential equations, Appl. Numer. Math. 22(1996), 251-262

33. Z. Jackiewicz, R. Vermiglio, M. Zennaro: Regularity properties of Runge-Kutta methods for delay differential equations, Appl. Numer. Math. 24(1997), 265-278

34. M. Zennaro: Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations, Numer. Math. 77(1997), 549-563

35. Z. Jackiewicz, R. Vermiglio, M. Zennaro: Regularity properties of multistage integration methods, J. Comput. Appl. Math. 87(1997), 285-302

36. 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

37. A. Bellen, N. Guglielmi, M. Zennaro: Numerical stability of nonlinear delay differential equations of neutral type, J. Comput. Appl. Math. 125(2000), 251-263

38. N. Guglielmi, M. Zennaro: On the asymptotic properties of a family of matrices, Linear Algebra Appl. 322(2001), 169-192

39. N. Guglielmi, M. Zennaro: On the zero-stability of variable stepsize multistep methods: the spectral radius approach, Numer. Math. 88(2001), 445-458

40. N. Guglielmi, M. Zennaro: On the limit products of a family of matrices, Linear Algebra Appl. 362(2003), 11-27

41. N. Guglielmi, M. Zennaro: Stability of one-leg Q-methods for the variable coefficient pantograph equation on the quasi-geometric mesh, IMA J. Numer. Anal. 23(2003), 421-438

42. A. Bellen, M. Zennaro: Adaptive integration of delay differential equations, Lect. Notes Comput. Sci. Eng. 38, Advances in Time-Delay Systems, S. Niculescu and K. Gu Eds., Springer, 2004, 155-165

43. N. Guglielmi, F. Wirth, M. Zennaro: Complex polytope extremality results for families of matrices, SIAM J. Matrix Anal. Appl. 27(2005), 721-743

44. N. Guglielmi, M. Zennaro: Balanced complex polytopes and related vector and matrix norms, J. Convex Anal.14(2007), 729-766

45. N. Guglielmi, M. Zennaro: An algorithm for finding extremal polytope norms of matrix families, Linear Algebra Appl. 428(2008), 2265-2282

46. S. Maset, M. Zennaro: Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations, Math. Comp. 78(2009), 957-967

47. C. Vagnoni, M. Zennaro: The analysis and the representation of balanced complex polytopes in 2D, Found. Comput. Math. 9(2009), 259-294

48. N. Guglielmi, M. Zennaro: Finding extremal complex polytope norms for families of real matrices, SIAM J. Matrix Anal. Appl. 31(2009), 602-620

49. A. Cicone, N. Guglielmi, S. Serra Capizzano, M. Zennaro: Finiteness property of pairs of 2x2 sign-matrices via real extremal polytope norms, Linear Algebra Appl. 432(2010), 796-816

50. N. Guglielmi, M. Zennaro: On the asymptotic regularity of a family of matrices, Linear Algebra Appl. 436(2012), 2093-2104

51. S. Maset, M. Zennaro: Stability properties of explicit exponential Runge-Kutta methods, IMA J. Numer. Anal. 33(2013), 111-135

52. S. Maset, M. Zennaro: Good behaviour with respect to the stiffness in the numerical integration of retarded functional differential equations, SIAM J. Numer. Anal. 52(2014), 1843-1866

53. N. Guglielmi, M. Zennaro: Canonical construction of Barabanov polytope norms and antinorms for sets of matrices, SIAM J. Matrix Anal. Appl. 36(2015), 634-655

54. M. Brundu, M. Zennaro: Cones and matrix invariance: a short survey, Rend. Istit. Mat. Univ. Trieste 50(2018), 81-100

55. M. Brundu, M. Zennaro: Invariant multicones for families of matrices, Ann. Mat. Pur. Appl. 198(2019), 571-614

56. M. Brundu, M. Zennaro: Multicones, duality and matrix invariance, J. Convex Anal. 26(2019), 1021-1052

57. N. Guglielmi, M. Zennaro: An antinorm theory for sets of matrices: bounds and approximations to the lower spectral radius, Linear Algebra Appl. 607(2020), 89-117

58. M. Brundu, M. Zennaro: Spectral properties of certain sequences of products of two real matrices, Electron. J. Linear Algebra 38(2022), 377-403

Articoli su atti di convegni

1. A. Bellen, M. Zennaro: Maximum principles for periodic solutions of linear delay differential equations, ISNM 62, Differential Difference Equations, Birkhauser, 1983, 19-24

2. M. Zennaro: On the P-stability of one-step collocation for delay differential equations, ISNM 74, Delay Equations, Approximation and Application, Birkhauser, 1985, 334-343

3. A. Bellen, M. Zennaro: Algoritmi paralleli per problemi iniziali di equazioni differenziali lineari ordinarie e con ritardo, Atti del Convegno di Analisi Numerica, De Frede, Napoli, 1986, 43-55

4. A. Bellen, M. Zennaro: A free-stepsize implementation of second order stable methods for neutral delay differential equations, Proceedings “3^rd IFAC Workshop on Time-Delay Systems”, Santa Fé, 2001

5. N. Guglielmi, M. Zennaro: Polytope norms and related algorithms for the computation of the joint spectral radius, Proceedings “CDC-ECC’05”, Seville (Spain), 12-15 December 2005, 3007-3012 (pubblicati in CD-ROM)

Pubblicazioni didattiche e di survey

1. M. Zennaro: La risoluzione approssimata di equazioni nonlineari, Quaderni didattici, Dip. Sci. Mat., Univ. Trieste, Quaderno n.4 (1990)

2. 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

3. 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 & M. Marletta Eds., Clarendon Press, Oxford, 1995

Monografie scientifiche

1. A. Bellen, M. Zennaro: Numerical methods for delay differential equations. Numerical Mathematics and Scientific Computation. Oxford Science Publications, Oxford University Press, 2003

2. A. Bellen, N. Guglielmi, S. Maset, M. Zennaro: Recent trends in the numerical solution of retarded functional differential equations, Acta Numerica (2009), 1-110, Cambridge University Press

3. N. Guglielmi, M. Zennaro: Stability of linear problems: joint spectral radius of sets of matrices, in "Current Challenges in Stability Issues for Numerical Differential Equations", Lecture Notes in Mathematics 2082, CIME Foundation Subseries, L. Dieci & N. Guglielmi Eds., Springer, 2014

Rapporti tecnici

1. A. Bellen, Z. Jackiewicz, M. Zennaro: Stability analysis of time-point relaxation Heun method, Rapp. Tecn. C.N.R. "Progetto Finalizzato Sistemi Informatici e Calcolo Parallelo" n. 1/30, 1990

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aggiornato al 28/08/2022