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- 1
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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'Università
degli Studi di Bari.
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F. Mazzia, D. Trigiante,
FDSPP: a solver for singular perturbation problems,
Rapporto n. 11/91 del Dipartimento di Matematica dell'Università degli
Studi di Bari.
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F. Mazzia, T. Politi,
Numerical methods for semilinear singular perturbation
problems,
Rapporto n. 31/92 del Dipartimento di Matematica dell'Università degli
Studi di Bari.
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F. Mazzia and D. Trigiante,
Numerical methods for second order singular perturbation
problems, Comput. Math. Appl. 23 (1992), no. 11, 81-89.
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L. Brugnano, F. Mazzia, and D. Trigiante, Parallel implementation of
BVM methods, Appl. Numer. Math. 11 (1993), no. 1-3, 115-124.
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P. Amodio and F. Mazzia, and D. Trigiante, Stability of some boundary value
methods for the solution of initial value problems, BIT 33 (1993),
no. 3, 434-451.
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F. Mazzia and D. Trigiante, The role of difference equations in numerical analysis, Comput.
Math. Appl. 28 (1994), no. 1-3, 209-217.
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P. Amodio and F. Mazzia, Boundary value methods for the solution of
differential-algebraic equations, Numer. Math. 66 (1994), no. 4,
411-421.
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F. Mazzia, Boundary value methods for initial value problems:
parallel implementation, Ann. Numer. Math. 1 (1994), no. 1-4,
439-450.
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F. Mazzia and D. Trigiante, Numerical solution of singular perturbation problems, Calcolo
30 (1993), no. 4, 355-369 (1995).
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P. Amodio and F. Mazzia, Backward error analysis of cyclic
reduction for the solution of tridiagonal systems, Math. Comp. 62
(1994), no. 206, 601-617.
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P. Amodio and F. Mazzia, A parallel Gauss-Seidel method for block tridiagonal linear
systems, SIAM J. Sci. Comput. 16 (1995), no. 6, 1451-1461.
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P. Amodio and F. Mazzia, Boundary value methods based on Adams-type methods, Appl.
Numer. Math. 18 (1995), no. 1-3, 23-35.
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P. Amodio, W. L. Golik, and F. Mazzia, Variable-step boundary value
methods based on reverse Adams schemes and their grid redistribution,
Appl. Numer. Math. 18 (1995), no. 1-3, 5-21.
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P. Amodio and F. Mazzia, A boundary value approach to the numerical solution of initial
value problems by multistep methods, J. Differ. Equations Appl. 1
(1995), no. 4, 353-367.
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P. Amodio and F. Mazzia, Parallel iterative solvers for boundary value methods, Math.
Comput. Modelling 23 (1996), no. 7, 29-43.
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P. Amodio and F. Mazzia, Parallel block preconditioning for the solution of boundary
value methods, J. Comput. Appl. Math. 69 (1996), no. 2, 191-206.
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F. Iavernaro, and F. Mazzia, Convergence and stability of multistep methods solving nonlinear
initial value problems, SIAM J. Sci. Comput. 18 (1997), no. 1, 270-285.
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G. Di Lena, F. Iavernaro, and F. Mazzia, On the unique solvability of the
systems arising from boundary value methods, Nonlinear Stud. 4
(1997), no. 1, 1-12.
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P. Amodio and F. Mazzia, Parallel iterative solvers for banded linear systems, Numerical
analysis and its applications (Rousse, 1996), Lecture Notes in Comput. Sci., 1196, Springer, Berlin, 1997,
17-24.
- 21
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A. Mazzia and F. Mazzia, High-order transverse schemes for
the numerical solution of PDEs, J. Comput. Appl. Math. 82
(1997), no. 1-2, 299-311.
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A. Mazzia, F. Mazzia, and D. Trigiante, Boundary value methods for
PDEs, First International Conference on Nonlinear Problems in Aviation
and Aerospace (Daytona Beach, FL, 1996), Embry-Riddle Aeronaut. Univ. Press,
Daytona Beach, FL, 1997, 421-436.
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P. Amodio and F. Mazzia, Numerical solution of differential algebraic equations and
computation of consistent initial/boundary conditions, J. Comput. Appl.
Math. 87 (1997), no. 1, 135-146.
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F. Mazzia, Boundary value methods for the numerical solution of boundary
value problems in differential-algebraic equations, Boll. Un. Mat. Ital. A
(7) 11 (1997), no. 2, 579-593.
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F. Iavernaro, M. La Scala, and F. Mazzia, Boundary values
methods for time-domain simulation of power system dynamic behavior, IEEE
Trans. Circuits Systems I Fund. Theory Appl. 45 (1998), no. 1,
50-63.
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F. Iavernaro and F. Mazzia, Solving ordinary differential equations by generalized Adams
methods: properties and implementation techniques, Appl. Numer. Math.
28 (1998), no. 2-4, 107-126.
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P. Amodio and F. Mazzia, An algorithm for the computation of consistent initial values
for differential-algebraic equations, Numer. Algorithms 19 (1998),
no. 1-4, 13-23.
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F. Mazzia,
Loss of biorthogonality and linear system solvers,
Report TR/PA/98/10 (1998) CERFACS, Toulouse, Francia.
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F. Iavernaro and F. Mazzia, Block-boundary value methods for the solution of ordinary
differential equations, SIAM J. Sci. Comput. 21 (1999), no. 1,
323-339.
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P. Amodio and F. Mazzia, A new approach to backward error analysis of
factorization, BIT 39 (1999), no. 3, 385-402.
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F. Iavernaro and F. Mazzia, On the extension of the code GAM
for parallel computing., Amestoy, Patrick (ed.) et al., Euro-Par '99.
Parallel processing. 5th international Euro-Par conference, Toulouse, France,
August 31 - September 3, 1999. Proceedings. Lect. Notes Comput. Sci. 1685 ,
Springer, Berlin, 1999, 1136-1143.
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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.
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F. Mazzia and 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.),
IMACS Series in Computational and Applied Mathematics,5, International Assoc. for Mathematics and Computers in
Simulation, New Brunswick, New Jersey, USA, 1999, 195-209.
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F. Mazzia and D. Trigiante, Computing codes for ordinary differential equations: state of
art and perspectives, Riv. Mat. Univ. Parma (6) 2* (1999), 69-87
(2000).
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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".
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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.
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F. Iavernaro, F. Mazzia and D. Trigiante, Phantoms and
ghosts. (is the discrete world an approximation of the continuous or the
other way around?), Liber amicorum, Piet van der Houwen, Herman J. J. te
Riele (ed.), Ponsen & Looijen, Wageningen, 2000, 173-188.
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P. Amodio, A. Bonfiglioli, P. Leggiero, F. Mazzia. Precondizionatori paralleli per la fluidodinamica computazionale., Rapporto n. 25/2003, Dipartimento Interuniversitario di Matematica, Università degli studi di Bari, 2002.
- 39
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F. Iavernaro and F. Mazzia, Parallel Implicit Predictor Corrector Methods, Appl.
Numer. Math., 42(2002), 235-250.
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F. Iavernaro and F. Mazzia, Generalization of Backward Differentiation Formulas for
parallel computers, Numerical Algorithms 31 (2002), no. 1-4, 139-155.
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F. Mazzia and I. Sgura, Numerical approximation of nonlinear BVPs by
means of BVMs, Appl. Numer. Math., 42(2002), 337-352.
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F. Iavernaro, F. Mazzia and D. Trigiante, Eigenvalues and quasi-eigenvalues of banded
Toeplitz matrices: some properties and applications, Numerical Algorithms 31(2002), no.1-4, 157-170.
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L. Aceto, F. Mazzia, 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, Birkhäuser, Basel, 2003, 349-360.
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F. Mazzia, D. Trigiante,
A mesh selection strategy
for boundary value problems, Rapporto n. 36/2003, Dipartimento di Matematica, Università degli studi di Bari, 2003.
- 45
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F. Iavernaro, F. Mazzia,
Test Set for Initial Value Problem Solvers Rapporto 40/2003, Dipartimento di Matematica, Università degli studi di Bari, 2003.
- 46
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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.
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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.
- 48
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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
Journal of Computational Methods in Sciences and Engineering, to appear.
Subsections
- Lavori sottomessi
- Descrizione del lavoro di ricerca
- Analisi della stabilità di algoritmi per la soluzione di sistemi
lineari [8,30]
- Algoritmi paralleli per la soluzione di sistemi di grandi dimensioni [12,16,20]
- Precondizionatori paralleli per il metodo dei Gradienti Coniugati e per
metodi tipo Gradienti Coniugati, per matrici simmetriche e non simmetriche
[1,5,9,17,38]
- Metodi numerici per la soluzione di problemi ai valori al contorno, analisi della stabilità e variazione del passo
[2,3,4,7,10,41,43,44,47,48]
- Metodi numerici per la soluzione di Equazioni Differenziali Ordinarie [6,13,14,15,18,19,26,29,31,34,35,36,39,40,45]
- Metodi numerici per la soluzione di Equazioni Differenziali Algebriche [8,23,24,25,27]
- Metodi numerici per la soluzione di Equazioni alle Derivate Parziali [21,22]
- Analisi dei metodi iterativi per la soluzione numerica di sistemi di grandi dimensioni in precisione [28,32,33]
- Autovalori e quasi-autovalori per matrici di Toeplitz [42]
- Software
- Software in preparazione
- Presentazione a convegni (plenary invited speaker)
- Presentazione a convegni (invited talks)
- Presentazioni a convegni (contributed talks)
- Partecipazione a convegni
- Partecipazione a corsi
- Visite a strutture scientifiche internazionali
- Organizzazione di convegni e workshop
- Progetti di ricerca
- Attività di editore
- Attività di revisione
Francesca Mazzia
2004-11-26