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Publications List

 

 

Papers published in international journals

 

 

     

  1. Francesca Mazzia,Alessandra Sestini, Quadrature formulas descending from BS Hermite spline quasi-interpolation,Journal of Computational and Applied Mathematics 236 (16) , pp. 4105-4118.Dedicated to the memory of Donato Trigiante.  http://dx.doi.org/10.1016/j.cam.2012.03.015

  2. Mazzia, F. Cash, J.R. Soetaert, K., A Test Set for stiff Initial Value Problem Solvers in the open source software R: Package deTestSet , Journal of Computational and Applied Mathematics 236 (16) , pp. 4119-4131,Dedicated to the memory of Donato Trigiante http://dx.doi.org/10.1016/j.cam.2012.03.014

  3. Title: Efficient strategies for solving nonlinear problems in BVPs codes
    Author(s): Mazzia, F.; Trigiante, D.
    Source: Nonlinear Studies Volume: 17 Issue: 4 Pages: 309-326 Published: 2010

  4. Title: Computation of consistent initial values for properly stated index 3 DAEs
    Author(s): Lamour, Rene; Mazzia, Francesca
    Source: Bit Numerical Mathematics Volume: 49 Issue: 1 Pages: 161-175 Published: MAR 2009
  5. Title: The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions
    Author(s): Mazzia, Francesca; Sestini, Alessandra
    Source: Bit Numerical Mathematics Volume: 49 Issue: 3 Pages: 611-628 Published: SEP 2009
  6. Title: The continuous extension of the B-spline linear multistep methods for BVPs on non-uniform meshes
    Author(s): Mazzia, Francesca; Sestini, Alessandra; Trigiante, Donato
    Source: Applied Numerical Mathematics Volume: 59 Issue: 3-4 Pages: 723-738 Published: MAR-APR 2009
  7. Title: On the development of effective algorithms for the numerical solution of singularly perturbed two-point boundary value problems
    Author(s): Capper, S.; Cash, J.; Mazzia, F.
    Source: International Journal of Computing Science and Mathematics Volume: 1 Issue: 1 Pages: 42-57 Published: 2007
  8. Title: B-spline linear multistep methods and their continuous extensions
    Author(s): Mazzia, Francesca; Sestini, Alessandra; Trigiante, Donato
    Source: Siam Journal on Numerical Analysis Volume: 44 Issue: 5 Pages: 1954-1973 Published: 2006
  9. Title: Hybrid mesh selection algorithms based on conditioning for two-point boundary value problems
    Author(s): Cash, J.R.; Mazzia, F.
    Source: JNAIAM J. Numer. Anal. Ind. Appl. Math Volume: 1 Issue: 1 Pages: 81-90 Published: 2006
  10. Title: BS linear multistep methods on non-uniform meshes
    Author(s): Mazzia, F.; Sestini, A.; Trigiante, D.
    Source: JNAIAM J. Numer. Anal. Indust. Appl. Math Volume: 1 Issue: 1 Pages: 131-144 Published: 2006
  11. Title: A new mesh selection algorithm, based on conditioning, for two-point boundary value codes
    Author(s): Cash, JR; Mazzia, F
    Source: Journal of Computational and Applied Mathematics Volume: 184 Issue: 2 Pages: 362-381 Published: DEC 15 2005
  12. Title: Multistep methods for conservative problems
    Author(s): Iavernaro, Felice; Mazzia, Francesca; Trigiante, Donato
    Source: Mediterranean Journal of Mathematics Volume: 2 Issue: 1 Pages: 53-69 Published: 2005
  13. J. Cash, F. Mazzia, N. Sumarti, D. Trigiante, The role of conditioning in mesh selection algorithms for first order systems of linear two-point boundary value problems, JJournal of Computation and Applied Mathematics Volume: 185 Issue: 2 Pages: 212-224 Published: JAN 15 2006
  14. F. Mazzia, D. Trigiante, A Hybrid Mesh Selection Strategy Based on Conditioning for Boundary Value ODE Problems, Numerical Algorithms, 36 (2004), no.2, 169–187.
  15. F. Iavernaro and F. Mazzia, Parallel Implicit Predictor Corrector Methods, Appl. Numer. Math.,42(2002), 235–250.
  16. F. Iavernaro and F. Mazzia, Generalization of Backward Differentiation Formulas for parallel computers, Numerical Algorithms, 31(1–4)(2002), 139–155.
  17. F. Mazzia and I. Sgura, Numerical approximation of nonlinear BVPs by means of BVMs, Appl. Numer. Math., 42(2002), 337–352.
  18. F. Iavernaro, F. Mazzia and D. Trigiante, Eigenvalues and quasi-eigenvalues of banded Toeplitz matrices: some properties and applications, Numerical Algorithms, 31(1–4)(2002), 157–170.
  19. P. Amodio, F. Mazzia, A new approach to backward error analysis of LU factorization algorithm, BIT, 39 (3) (1999) 385–402.
  20. P. Amodio, F. Mazzia, An algorithm for the computation of consistent initial conditions for Differential-Algebraic equations, Numerical Algorithm, 19 (1-4)(1998) 13-23.
  21. F. Iavernaro, F. Mazzia, Block-Boundary Value Methods for the solution of Ordinary Differential Equations. Siam J. Sci. Comput. 21 (1) (1999) 323–339.
  22. F. Iavernaro, F. Mazzia, Solving ordinary differential equations by generalized Adams methods: properties and implementation techniques. Appl. Num. Math. 28 (2-4) (1998) 107-126.
  23. F. Iavernaro, M. La Scala, F. Mazzia, Boundary value methods for time domain simulation of power system dynamic behavior, IEEE Transaction on Circuits and Systems – Part I,45 (1) (1998) 50-63.
  24. F. Iavernaro, F. Mazzia, Convergence and stability of multistep methods solving nonlinear Initial Value Problems, SIAM Journal on Scientific Computing, 18 (1997) 270-285.
  25. P. Amodio, F. Mazzia, Parallel iterative solvers for banded linear systems. In Numerical Analysis and its Applications, L. Vulkov, J. Wasniewski and P. Yalamov Editors, Lecture Notes in Computer Science, 1196 Springer, Berlin, (1997) 17-24.
  26. G. Di Lena, F. Iavernaro, F. Mazzia, On the unique solvability of the systems arising from Boundary Value Methods, Nonlinear Studies, Vol. 4, No. 1 (1997) 1-12.
  27. A. Mazzia, F. Mazzia, High-order transverse schemes for the numerical, Journal of Computational and Applied Mathematics, 82 (1-2) (1997) 299-311.
  28. P. Amodio, F. Mazzia, Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions. Journal of Computational and Applied Mathematics, Vol. 87/1 (1997) 135-146.
  29. P. Amodio, F. Mazzia, Parallel iterative solvers for boundary value methods, Mathematical and Computer Modelling 23 (1996), 29-43.
  30. P. Amodio, F. Mazzia, Parallel block preconditioning for the solution of boundary value methods, Journal of Computational and Applied Mathematics 69 (1996), 191-206.
  31. P. Amodio, F. Mazzia, A parallel Gauss-Seidel method for block tridiagonal linear systems, SIAM Journal on Scientific Computing, 16 (1995), 1451-1461.
  32. P. Amodio, F. Mazzia, Boundary value methods based on Adams-type methods, Applied Numerical Mathematics, 18 (1995), 23-35.
  33. P. Amodio, V. Golik, F. Mazzia, Variable step boundary value methods based on reverse Adams schemes and their grid redistribution, Applied Numerical Mathematics, 18 (1995), 5-21.
  34. P. Amodio, F. Mazzia, A boundary value approach to the numerical solution of initial value problems by multistep methods, Journal of Difference Equations and Applications, 1 (1995), 353-367.
  35. P. Amodio, F. Mazzia. Boundary Value Methods for the Solution of Differential-Algebraic Equations, Numer. Math. 66 (1994) 411-421.
  36. F. Mazzia, Boundary Value Methods for Initial Value Problems: Parallel Implementation, Ann. Numer. Math. 1 (1994) 439-450.
  37. F. Mazzia, D. Trigiante, The role of Difference Equations in Numerical Analysis, Computers Math. Applic, 28 (1994), pp. 209-217.
  38. P. Amodio, F. Mazzia, Backward error analysis of cyclic reduction for the solution of tridiagonal linear systems, Mathematics of Computations, 62 (1994), pp. 601-617.
  39. P. Amodio, F. Mazzia, D. Trigiante. Stability of Some Boundary Value Methods for the Solution of Initial Value Problems, BIT, 33 (1993) 434-451.
  40. L. Brugnano, F. Mazzia, D. Trigiante. Parallel Implementation of BVM Methods, Appl. Num. Math. 11 (1993) 115-124.
  41. F. Mazzia, D. Trigiante, Numerical solution of singular perturbation problems, Calcolo, 4 (1993), pp. 355-370.
  42. F. Mazzia, D. Trigiante, Numerical methods for second order singular perturbation problems, Computer Math. Applic., 11 (1992), pp. 81–89.

     

    Refereed papers in books and proceedings of international conferences

  43. Title: Efficient Global Methods for the Numerical Solution of Nonlinear Systems of Two Point Boundary Value Problems
    Author(s): Cash, J.R.; Mazzia, F.
    Source: Recent Advances in Computational and Applied Mathematics Pages: 23-39 Published: 2011
  44. Title: Fifty years of stiffness
    Author(s): Brugnano, L.; Mazzia, F.; Trigiante, D.
    Source: Recent Advances in Computational and Applied Mathematics Pages: 1-21 Published: 2011
  45. F. Iavernaro, F. Mazzia and D. Trigiante, On the discrete nature of physical laws, Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001: New Progress in Difference Equations, Ed. Bernd Aulbach; Saber Elaydi; Gerasimos Ladas, 2004.
  46. L. Aceto, F. Mazzia and D. Trigiante, The performances of the code TOM on the Holt problem, Modeling, simulation, and optimization of integrated circuits (Oberwolfach, 2001), Internat. Ser. Numer. Math., 146, Birkhauser, Basel, 2003, 349–360.
  47. F. Iavernaro, F. Mazzia, D.Trigiante, Phantoms and Ghosts (Is the Discrete World an Approximation of the Continuous or the Other Way Around?). in Liber Amicorum Piet Van der Houven, 173–188, H. J.J. te Riele editor, Ponsen & Looijen, Wageningen, 2000.
  48. F. Mazzia, R.A. McCoy, Numerical experiments with a shifted SSOR preconditioner for symmetric matrices, in "Iterative Methods in Scientific Computation IV", David R. Kincaid and Anne C. Elster (eds.),195–209, IMACS Series in Computational and Applied Mathematics,5, International Assoc. for Mathematics and Computers in Simulation, New Brunswick, New Jersey, USA, 1999.
  49. F. Iavernaro, F. Mazzia, On the extension of the code GAM for parallel computing. in EURO-PAR'99, Parallel Processing, 1136–1143, Lecture Notes in Computer Science, 1685, Springer, Berlin, 1999.
  50. F. Mazzia, QMR and selective biorthogonalization, Large-scale scientific computations of engineering and environmental problems, II (Sozopol, 1999), Notes Numer. Fluid Mech. 73, Vieweg, M. Griebel, S. Margenov, P. Yalamov eds, Vieweg, Braunschweig, 2000, 152–161.
  51. A. Mazzia, F. Mazzia, D. Trigiante, Boundary Value Methods for PDEs. In Proceedings of the First International Conference on Nonlinear problems in Aviation and Aerospace, S. Sivasundaram Editor, Embry-Riddle Aeronautical University Press, (1997) 421-436.

     

     

    Papers in national journals and proceedings of national conferences

  52. L. Aceto, P. Amodio, L. Brugnano, F. Iavernaro, F. Mazzia, and D. Trigiante, Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers, Ann. Univ. Ferrara Sez. VII (N.S.) 46 (2000), no. suppl., 167–178.
  53. L. Aceto, P. Amodio, L. Brugnano, F. Iavernaro, F. Mazzia, D. Trigiante, Boundary Value Methods in Block Form: the State of the Art, Monografia n. 3 del Progetto 1998-2000 Cofinanziato dal MURST: "Analisi Numerica: Metodi e Software Matematico".
  54. F. Mazzia, D. Trigiante Computing codes for Ordinary Differential Equations: State of Art and Perspectives, Rivista Matematica dell'Universita' di Parma, 6(1999) no.2*, pp. 69–87.
  55. F. Mazzia, Boundary Value Methods for the numerical solution of Boundary Value Problems in Differential-Algebraic Equations, Bollettino dell'Unione Matematica Italiana, (7) 11-A (1997) 579-593.

     

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    Technical reports

  56. F. Iavernaro, F. Mazzia, Test Set for Initial Value Problem Solvers, Rapporto 40/2003, Dipartimento di Matematica, Universita' degli studi di Bari, 2003.
  57. P. Amodio, A. Bonfiglioli, P. Leggiero, F. Mazzia. Precondizionatori paralleli per la fluidodinamica computazionale., Rapporto n. 25/2003, Dipartimento Interuniversitario di Matematica, Universita' degli studi di Bari, 2002.
  58. F. Mazzia, R. A. McCoy, Numerical Experiments with a shifted SSOR preconditioner, Report TR/PA/98/12 (1998) CERFACS, Toulouse, France.
  59. F. Mazzia, Loss of biorthogonality and linear system solvers, Report TR/PA/98/10 (1998) CERFACS, Toulouse, France.
  60. F. Mazzia, T. Politi, Numerical methods for semilinear singular perturbation problems, Rapporto n. 31/92 del Dipartimento di Matematica dell'Universita' degli Studi di Bari.
  61. F. Mazzia, D. Trigiante, FDSPP: a solver for singular perturbation problems, Rapporto n. 11/91 del Dipartimento di Matematica dell'Universita' degli Studi di Bari.
  62. L. Brugnano, F. Mazzia, A parallel preconditioner for a class of M-matrices by incomplete cyclic reduction, Rapporto n. 27/90 del Dipartimento di Matematica dell'Universita' degli Studi di Bari.

     

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    Didactic Books

  63. F. Mazzia, D. Trigiante, Laboratorio di Programmazione e Calcolo, Pitagora Editrice, Bologna, 1992.

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This page is maintained by Francesca Mazzia (mazzia@dm.uniba.it)

 

Last Update: April 18, 2012

 Posted by at 7:23 pm