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Luigi Brugnano
Luigi Brugnano
Full Professor of Numerical Analysis, University of Firenze, Italy
Verified email at unifi.it - Homepage
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
5321998
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
2832010
Line Integral Methods for Conservative Problems
L Brugnano, F Iavernaro
CRC Press 13, 222, 2016
1392016
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
1142012
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
972012
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
962011
Iterative solution of piecewise linear systems
L Brugnano, V Casulli
SIAM Journal on Scientific Computing 30 (1), 463-472, 2008
922008
Analysis of Hamiltonian boundary value methods (HBVMs): a class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems
L Brugnano, F Iavernaro, D Trigiante
Communications in Nonlinear Science and Numerical Simulation 20 (3), 650-667, 2015
912015
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
881996
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
832015
Energy preserving methods for Poisson systems
L Brugnano, M Calvo, JI Montijano, L Rßndez
Journal of Computational and Applied Mathematics 236, 3890-3904, 2012
702012
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
682009
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
671998
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
612009
Blended implementation of block implicit methods for ODEs
L Brugnano, C Magherini
Applied Numerical Mathematics 42 (1-3), 29-45, 2002
612002
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods
L Brugnano, G Frasca Caccia, F Iavernaro
Numerical Algorithms 65 (3), 633-650, 2014
602014
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
592012
Energy-conserving methods for the nonlinear Schr÷dinger equation
L Barletti, L Brugnano, GF Caccia, F Iavernaro
Applied Mathematics and Computation 318, 3-18, 2018
582018
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schr÷dinger equation with wave operator
L Brugnano, C Zhang, D Li
Communications in Nonlinear Science and Numerical Simulation 60, 33-49, 2018
552018
High-order multistep methods for boundary value problems
L Brugnano, D Trigiante
Applied Numerical Mathematics 18 (1), 79-94, 1995
551995
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