Luigi Brugnano
Title
Cited by
Cited by
Year
Solving Differential Equations by Multistep Initial and Boundary Value Methods
L Brugnano, D Trigiante
Gordon and Breach Science Publ., Amsterdam, 1998, 1998
4491998
Hamiltonian boundary value methods (energy preserving discrete line integral methods)
L Brugnano, F Iavernaro, D Trigiante
J. Numer. Anal. Ind. Appl. Math. 5, 1-2, 17-37, 2010
1922010
Analisys of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of polynomial Hamiltonian dynamical systems
L Brugnano, F Iavernaro, D Trigiante
arXiv:0909.5659, 2009
94*2009
A simple framework for the derivation and analysis of effective classes of one-step methods for ODEs✩
L Brugnano, F Iavernaro, D Trigiante
Applied Mathematics and Computation 218, 8475–8485, 2012
922012
A note on the efficient implementation of Hamiltonian BVMs
L Brugnano, F Iavernaro, D Trigiante
Journal of Computational and Applied Mathematics 236, 375-383, 2011
792011
Energy and QUadratic Invariants Preserving integrators based upon Gauss collocation formulae
L Brugnano, F Iavernaro, D Trigiante
SIAM Journal on Numerical Analysis 50 (6), 2897-2916, 2012
76*2012
Iterative solution of piecewise linear systems
L Brugnano, V Casulli
SIAM Journal on Scientific Computing 30 (1), 463-472, 2008
762008
Block implicit methods for Odes
L Brugnano, D Trigiante
"Recent trends in Numerical Analysis", D. Trigiante Ed., Nova Science, 81-105, 2001
74*2001
Line Integral Methods for Conservative Problems
L Brugnano, F Iavernaro
CRC Press 13, 222, 2016
712016
Convergence and stability of boundary value methods for ordinary differential equations
L Brugnano, D Trigiante
Journal of Computational and Applied Mathematics 66 (1), 97-109, 1996
681996
Energy conservation issues in the numerical solution of the semilinear wave equation
L Brugnano, G Frasca Caccia, F Iavernaro
Applied Mathematics and Computation 270, 842-870, 2015
582015
Iterative solution of piecewise linear systems and applications to flows in porous media
L Brugnano, V Casulli
SIAM Journal on Scientific Computing 31 (3), 1858-1873, 2009
582009
Hamiltonian BVMs (HBVMs): a family of “drift free” methods for integrating polynomial Hamiltonian problems
L Brugnano, F Iavernaro, D Trigiante
AIP Conf. Proc 1168, 715-718, 2009
522009
Blended implementation of block implicit methods for ODEs
L Brugnano, C Magherini
Applied Numerical Mathematics 42 (1-3), 29-45, 2002
522002
The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: the case of symplecticity
L Brugnano, F Iavernaro, D Trigiante
Applied Mathematics and Computation 218, 8053-8063, 2012
502012
Parallel factorizations for tridiagonal matrices
P Amodio, L Brugnano, T Politi
SIAM Journal on Numerical Analysis, 813-823, 1993
491993
Boundary value methods: the third way between linear multistep and Runge-Kutta methods
L Brugnano, D Trigiante
Computers & Mathematics with Applications 36 (10-12), 269-284, 1998
481998
Energy preserving methods for Poisson systems
L Brugnano, M Calvo, JI Montijano, L Rįndez
Journal of Computational and Applied Mathematics 236, 3890-3904, 2012
462012
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods
L Brugnano, G Frasca Caccia, F Iavernaro
Numerical Algorithms 65 (3), 633-650, 2014
452014
Line integral methods which preserve all invariants of conservative problems
L Brugnano, F Iavernaro
Journal of Computational and Applied Mathematics 236, 3905-3919, 2012
452012
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