Felice Iavernaro
Felice Iavernaro
Associate Professor, Department of Mathematics, University of Bari, ITALY
Verified email at dm.uniba.it
Title
Cited by
Cited by
Year
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
High-order symmetric schemes for the energy conservation of polynomial Hamiltonian problems
F Iavernaro, D Trigiante
J. Numer. Anal. Ind. Appl. Math 4 (1-2), 87-101, 2009
1112009
Test set for initial value problem solvers
F Mazzia, F Iavernaro, C Magherini
Department of Mathematics, University of Bari, 2003
1062003
A unifying framework for the derivation and analysis of effective classes of one-step methods for ODEs
L Brugnano, F Iavernaro, D Trigiante
Arxiv preprint arXiv:1009.3165, 2010
94*2010
A note on the efficient implementation of Hamiltonian BVMs
L Brugnano, F Iavernaro, D Trigiante
Journal of computational and Applied Mathematics 236 (3), 375-383, 2011
802011
s‐stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type
F Iavernaro, B Pace
AIP Conference Proceedings 936 (1), 603-606, 2007
802007
Reprint of 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 21 (1-3), 34-51, 2015
772015
Solving ordinary differential equations by generalized Adams methods: properties and implementation techniques
F Iavernaro, F Mazzia
Applied Numerical Mathematics 28 (2-4), 107-126, 1998
751998
Line integral methods for conservative problems
L Brugnano, F Iavernaro
CRC Press, 2016
722016
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
682012
Block-boundary value methods for the solution of ordinary differential equations
F Iavernaro, F Mazzia
SIAM Journal on Scientific Computing 21 (1), 323-339, 1999
621999
Conservative block‐boundary value methods for the solution of polynomial Hamiltonian systems
F Iavernaro, B Pace
AIP Conference Proceedings 1048 (1), 888-891, 2008
562008
Energy conservation issues in the numerical solution of the semilinear wave equation
L Brugnano, GF Caccia, F Iavernaro
Applied Mathematics and Computation 270, 842-870, 2015
552015
Hamiltonian BVMs (HBVMs): a family of “drift free” methods for integrating polynomial Hamiltonian problems
L Brugnano, F Iavernaro, D Trigiante
AIP Conference Proceedings 1168 (1), 715-718, 2009
532009
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 (16), 8056-8063, 2012
512012
Numerical Methods for Solving Initial Value Problems on the Infinity Computer.
YD Sergeyev, MS Mukhametzhanov, F Mazzia, F Iavernaro, P Amodio
Int. J. Unconv. Comput. 12 (1), 3-23, 2016
492016
A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic
P Amodio, F Iavernaro, F Mazzia, MS Mukhametzhanov, YD Sergeyev
Mathematics and Computers in Simulation 141, 24-39, 2017
472017
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods
L Brugnano, GF Caccia, F Iavernaro
Numerical Algorithms 65 (3), 633-650, 2014
462014
Line integral methods which preserve all invariants of conservative problems
L Brugnano, F Iavernaro
Journal of Computational and Applied Mathematics 236 (16), 3905-3919, 2012
442012
Stability and conditioning in numerical analysis
F Iavernaro, F Mazzia, D Trigiante
JNAIAM 1 (1), 91-112, 2006
432006
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