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Felice Iavernaro
Felice Iavernaro
Associate Professor, Department of Mathematics, University of Bari, ITALY
Bestätigte E-Mail-Adresse bei dm.uniba.it
Titel
Zitiert von
Zitiert von
Jahr
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
3032010
Line integral methods for conservative problems
L Brugnano, F Iavernaro
CRC Press, 2016
1622016
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
1572009
Test set for initial value problem solvers
F Mazzia, F Iavernaro, C Magherini
Department of Mathematics, University of Bari, 2003
1322003
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
121*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
1042011
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
1002015
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
962012
s-stage trapezoidal methods for the conservation of Hamiltonian functions of polynomial type
F Iavernaro, B Pace
Numerical Analysis and Applied Mathematics(AIP Conference Proceedings Volume …, 2007
902007
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
872015
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
831998
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
761999
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
712017
Energy-conserving methods for the nonlinear Schrödinger equation
L Barletti, L Brugnano, GF Caccia, F Iavernaro
Applied Mathematics and Computation 318, 3-18, 2018
662018
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods
L Brugnano, G Frasca Caccia, F Iavernaro
Numerical Algorithms 65, 633-650, 2014
642014
Hamiltonian BVMs (HBVMs): A Family of``Drift Free''Methods for Integrating polynomial Hamiltonian problems
L Brugnano, F Iavernaro, D Trigiante
Numerical Analysis and Applied Mathematics: International Conference on …, 2009
642009
Numerical methods for solving initial value problems on the Infinity Computer
Y Sergeyev, M Mukhametzhanov, F Mazzia, F Iavernaro, P Amodio
632016
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
602012
Conservative block-boundary value methods for the solution of polynomial Hamiltonian systems
F Iavernaro, B Pace, TE Simos, G Psihoyios, C Tsitouras
AIP Conference Proceedings 1048 (1), 888, 2008
602008
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
562012
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