Brugnano, Luigi; Trigiante, Donato
Block implicit methods for ODEs.
Trigiante, Donato (ed.), Recent trends in numerical analysis. Dedicated to the 65th birthday of Professor I. Galligani. Huntington, NY: Nova Science Publishers. Adv. Theory Comput. Comput. Math. 3, 81-105 (2001).
Di Lena, G.; Iavernaro, F.
Solvability of Runge-Kutta and block-BVMs systems applied to scalar ODEs. (English)
Vulkov, Lubin (ed.) et al., Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 1988, 513-520 (2001).
Aceto, L.; Amodio, P.; Brugnano, L.; Iavernaro, F.; Mazzia, F.; Trigiante, D.
Study of numerical methods for evolutionary equations and construction of the corresponding software for sequential and parallel computers.
Ann. Univ. Ferrara, Nuova Ser., Sez. VII 46, Suppl., 167-178 (2000).
Iavernaro, F.; Mazzia, F.
Block-boundary value methods for the solution of ordinary differential equations. (English)
SIAM J. Sci. Comput. 21, No.1, 323-339 (1999).
Mazzia, F.; Trigiante, D.
Computing codes for ordinary differential equations: State of art and perspectives. (English)
Riv. Mat. Univ. Parma (6) 2*, 69-87 (1999).
Brugnano, Luigi; Trigiante, Donato
Boundary value methods: The third way between linear multistep and Runge-Kutta methods. Comput. Math. Appl. 36, No.10-12, 269-284 (1998).
L. Brugnano. Boundary Value Methods for the Numerical
Approximation of Ordinary Differential Equations, Lecture Notes in Comput.
Sci. 1196 (1997) 78-89.
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) pp.1-12.
F. Iavernaro, F. Mazzia,
Convergence and stability of multistep methods solving nonlinear Initial
Value Problems, SIAM Journal on Scientific Computing, 18 (1997) 270-285.
F. Iavernaro, F. Mazzia,
Block-Boundary Value Methods for the solution of Ordinary Differential
Equations.
Report 16/97, Dipartimento di Matematica, Universita' di Bari
(submitted).
L. Brugnano, D. Trigiante. On the Characterization of
Stiffness for ODEs, Dynamics of Continuous, Discrete and Impulsive
Systems, 2 (3) (1996) 317-335.
L. Brugnano, D. Trigiante. Convergence and Stability of
Boundary Value Methods for Ordinary Differential Equations, J. Comput.
Appl. Math. 66 (1996) 97-109.
P. Amodio. A-stable k-step Linear Multistep Formulae of Order 2k for the Solution of Stiff ODEs,
Report 24/96 Dipartimento di Matematica, Universita' degli Studi di Bari.
P. Amodio, F. Mazzia,
Boundary value methods based on Adams-type methods,
Applied Numerical Mathematics, 18 (1995), 23-35.
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.
P. Marzulli, D. Trigiante. Stability and Convergence of
Boundary Value Methods for Solving ODE, J. Differ. Equations
Appl. 1 (1995) 45-55.
P. Amodio, F. Mazzia, D. Trigiante. Stability of Some
Boundary Value Methods for the Solution of Initial Value Problems, BIT, 33 (1993) 434-451.
L. Brugnano, D. Trigiante. Tridiagonal matrices and
numerical solution of ordinary differential equations, WSSIA, 2
(1993) 71-83.
L. Brugnano, D. Trigiante. Stability Properties of Some
BVM Methods, Appl. Num. Math. 13 (1993) 291-304.
L. Lopez, D. Trigiante. Boundary Value Methods and
BV-Stability in the Solution of Initial Value Problems, Appl. Numer.
Math. 11 (1993) 225-239.
Mazzia, Francesca; Trigiante, Donato
A hybrid mesh selection strategy based on conditioning for boundary value ODE problems. (English)
Numer. Algorithms 36, No.2, 169-187 (2004).
Aceto, Lidia; Mazzia, Francesca; Trigiante, Donato
The performances of the code TOM on the Holt problem. (English)
Antreich, K. (ed.) et al., Modeling, simulation, and optimization of integrated circuits. Proceedings of a conference, Oberwolfach, Germany, November 25-December 1, 2001. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 146, 349-360 (2003).
Mazzia, F.; Sgura, I.
Numerical approximation of nonlinear BVPs by means of BVMs. (English)
Appl. Numer. Math. 42, No.1-3, 337-352 (2002).
L. Brugnano, D. Trigiante. A New Mesh Selection Strategy for
ODEs, Appl. Numer. Math. 24 (1997) 1-21.
L. Brugnano, D. Trigiante. High Order Multistep Methods for
Boundary Value Problems, Appl. Num. Math. 18 (1995) 79-94.
Amodio, P.; Iavernaro, F.; Trigiante, D.
Conservation properties of symmetric bVMs applied to linear Hamiltonian problems. (English)
Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21-24, 2002. Proceedings. Part 3. Berlin: Springer. Lect. Notes Comput. Sci. 2331, 429-438 (2002).
L. Brugnano. Is Symplecticness Sufficient for Approximating
Hamiltonian Systems? Non-linear Differential Equations and Applications
3, 1-2 (1997) 39-48.
L. Brugnano. Essentially Symplectic Boundary Value Methods for
Linear Hamiltonian Systems, J. Comput. Math. 15 (1997) 233-254.
L. Brugnano, D. Trigiante. Block Boundary Value Methods
for Linear Hamiltonian Systems, Appl. Math. Comput. 81 (1997)
49-68.
D. Trigiante. Multipoint Methods for Linear Hamiltonian Systems,
In Advances in Nonlinear Dynamics, series ``Stability and Control: Theory
Methods and Applications'', Gordon & Breach, Reading (UK), (1996).
Amodio, Pierluigi; Mazzia, Francesca
An algorithm for the computation of consistent initial values for differential-algebraic equations. (English)
Numer. Algorithms 19, No.1-4, 13-23 (1998).
Iavernaro, Felice; La Scala, Massimo; Mazzia, Francesca
Boundary values methods for time-domain simulation of power system dynamic behavior. (English)
IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 45, No.1, 50-63 (1998).
P. Amodio, F. Mazzia,
An algorithm for the computation of consistent initial conditions for
Differential-Algebraic equations.
Report 24/97, Dipartimento di Matematica, Universita' di Bari (submitted).
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.
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.
P. Amodio, F. Mazzia. Boundary Value Methods for the Solution
of Differential-Algebraic Equations, Numer. Math. 66 (1994)
411-421.
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.
A. Mazzia, F. Mazzia, High-order transverse schemes for the numerical,
Journal of Computational and Applied Mathematics, 82 (1-2) (1997) 299-311.
Iavernaro, F.; Mazzia, F.
Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques. (English)
Appl. Numer. Math. 28, No.2-4, 107-126 (1998).
P. Amodio, L. Brugnano. A Note on the Efficient Implementation
of Implicit Methods for ODEs, Jour. Comput. Appl. Math. 87 (1997), 1-9.
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.
Iavernaro, Felice; Mazzia, Francesca
On the extension of the code GAM for parallel computing. (English)
Amestoy, Patrick (ed.) et al., Euro-Par '99. Parallel processing. 5th international Euro-Par conference, Toulouse, France, August 31 - September 3, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1685, 1136-1143 (1999).
P. Amodio, L. Brugnano. Parallel Implementation of
Block Boundary Value Methods for ODEs, J. Comput. Appl. Math.
78 (1997) 197--211.
P. Amodio, M. Paprzycki. A Cyclic Reduction Approach to the Numerical
Solution of Boundary Value ODEs, SIAM J. Sci. Comput. 18 (1997) 56-68.
P. Amodio, L. Brugnano. Parallel ODE Solvers Based on
Block BVMs, Adv. Comput. Math. 7,1-2 (1997) 5--26.
L. Brugnano, D. Trigiante. Parallel Implementation of Block
Boundary Value Methods on Nonlinear Problems: Theoric Results, Appl.
Numer. Math. (to appear).
P. Amodio, L. Brugnano. ParalleloGAM: a Parallel Code for ODEs,
Appl. Num. Math. special issue, proceedings of NUMDIFF-8,
September, 1-5, 1997, Alexisbad, Germany.
L. Brugnano, D. Trigiante. On the Potentiality of Sequential
and Parallel Codes Based on Extended Trapezoidal Rules (ETRs), Appl.
Numer. Math. 25 (1997) 1-16.
P. Amodio, F. Mazzia,
Parallel block preconditioning for the solution of boundary value
methods,
Journal of Computational and Applied Mathematics 69 (1996), 191-206.
P. Amodio, F. Mazzia,
Parallel iterative solvers for boundary value methods,
Mathematical and Computer Modelling 23 (1996), 29-43.
P. Amodio, F. Mazzia,
A parallel Gauss-Seidel method for block tridiagonal linear systems,
SIAM Journal on Scientific Computing, 16 (1995), 1451-1461.
F. Mazzia, Boundary Value Methods for Initial Value Problems:
Parallel Implementation, Ann. Numer. Math. 1 (1994) 439-450.
P. Amodio, D. Trigiante. A Parallel Direct Method for Solving
Initial Value Problems for Ordinary Differential Equations, Appl. Numer.
Math. 11 (1993) 85-93.
L. Brugnano, F. Mazzia, D. Trigiante. Parallel
Implementation of BVM Methods, Appl. Num. Math. 11 (1993)
115-124.
L. Brugnano, D. Trigiante. A Parallel Preconditioning
Technique for BVM Methods, Appl. Num. Math. 13 (1993) 277-290.
Iavernaro, F.; Trigiante, D.
Preconditioning and conditioning of systems arising form boundary value methods. (English)
Nonlinear Dyn. Syst. Theory 1, No.1, 59-79 (2001).