Felice Iavernaro

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All published works

Action	Title	Year	Authors
+ PDF Chat	Does the fluid-static equilibrium of a self-gravitating isothermal sphere of van der Waals' gas present multiple solutions?	2024	D. Giordano Pierluigi Amodio Felice Iavernaro Francesca Mazzia
+	A shooting-Newton procedure for solving fractional terminal value problems	2024	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+	A robust variant of cubic smoothing spline approximation	2024	Marcello De Giosa Antonella Falini Felice Iavernaro Susanna Losito Francesca Mazzia Giorgia Rubino
+ PDF Chat	Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code	2024	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+ PDF Chat	Solving FDE-IVPs by using Fractional HBVMs: some experiments with the fhbvm code	2024	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+ PDF Chat	Fluid statics of a self-gravitating isothermal sphere of van der Waals' gas	2024	D. Giordano Pierluigi Amodio Felice Iavernaro Francesca Mazzia P. Ván Mátyás Szücs
+ PDF Chat	A Spectrally Accurate Step-by-Step Method for the Numerical Solution of Fractional Differential Equations	2024	Luigi Brugnano Kevin Burrage Pamela Burrage Felice Iavernaro
+ PDF Chat	Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code	2024	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+	Recent advances in the numerical solution of the Nonlinear Schrödinger Equation	2024	Luigi Barletti Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+	An entropy-based approach for a robust least squares spline approximation	2024	Luigi Brugnano D. Giordano Felice Iavernaro Giorgia Rubino
+ PDF Chat	Line integral methods: An ICNAAM story, and beyond	2024	Luigi Brugnano Felice Iavernaro
+	Recent Advances in the Numerical Solution of the Nonlinear Schrödinger Equation	2023	Luigi Barletti Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+ PDF Chat	Arbitrarily High-Order Energy-Conserving Methods for Hamiltonian Problems with Quadratic Holonomic Constraints	2023	Pierluigi Amodio Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+ PDF Chat	(Spectral) Chebyshev collocation methods for solving differential equations	2023	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+	A probabilistic approach to the twin prime and cousin prime conjectures	2023	Daniele Bufalo Michele Bufalo Felice Iavernaro
+ PDF Chat	A didactically motivated reexamination of a particle’s quantum mechanics with square-well potentials	2023	D. Giordano Pierluigi Amodio Felice Iavernaro
+	Solving second-order IVPs using an adaptive optimized Runge-Kutta-Nyström method	2023	Mufutau Ajani Rufai Francesca Mazzia Felice Iavernaro Higinio Ramos
+	An entropy-based approach for a robust least squares spline approximation	2023	Luigi Brugnano Domenico Giordano Felice Iavernaro Giorgia Rubino
+	A spectrally accurate step-by-step method for the numerical solution of fractional differential equations	2023	Luigi Brugnano Kevin Burrage Pamela Burrage Felice Iavernaro
+	Fluid statics of a self-gravitating isothermal sphere of van der Waals' gas	2023	D. Giordano Pierluigi Amodio Felice Iavernaro Francesca Mazzia P. Ván Mátyás Szücs
+	A shooting-Newton procedure for solving fractional terminal value problems	2023	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+ PDF Chat	A new framework for polynomial approximation to differential equations	2022	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro Vincenzo Vesprı
+ PDF Chat	A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials	2022	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+ PDF Chat	A general framework for solving differential equations	2022	Luigi Brugnano Felice Iavernaro
+ PDF Chat	Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function	2022	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+ PDF Chat	Continuous-Stage Runge–Kutta Approximation to Differential Problems	2022	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+ PDF Chat	Arbitrarily high-order energy-conserving methods for Poisson problems	2022	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+	Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints	2022	Pierluigi Amodio Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+	Spectral solution of delay differential equations with application to a model for the COVID-19 spread in Italy	2022	Luigi Brugnano Felice Iavernaro
+	Modeling the COVID-19 spread in Italy	2022	Luigi Brugnano Felice Iavernaro Paolo Zanzottera
+	(Spectral) Chebyshev collocation methods for solving differential equations	2022	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+	A didactically motivated reexamination of a particle's quantum mechanics with square-well potentials	2022	D. Giordano Pierluigi Amodio Felice Iavernaro
+	Arbitrarily high-order methods for Poisson problems	2021	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+ PDF Chat	A Fourth Order Symplectic and Conjugate-Symplectic Extension of the Midpoint and Trapezoidal Methods	2021	Felice Iavernaro Francesca Mazzia
+ PDF Chat	Maximal‐entropy driven determination of weights in least‐square approximation	2021	D. Giordano Felice Iavernaro
+	A new framework for polynomial approximation to differential equations	2021	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro Vincenzo Vespri
+	A multiregional extension of the SIR model, with application to the COVID‐19 spread in Italy	2020	Luigi Brugnano Felice Iavernaro Paolo Zanzottera
+ PDF Chat	On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic	2020	Pierluigi Amodio Luigi Brugnano Felice Iavernaro Francesca Mazzia
+	Computation of higher order Lie derivatives on the Infinity Computer	2020	Felice Iavernaro Francesca Mazzia Marat S. Mukhametzhanov Yaroslav D. Sergeyev
+	The hidden side of COVID-19 spread in Italy.	2020	Luigi Brugnano Felice Iavernaro Paolo Zanzottera
+ PDF Chat	Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere	2020	Pierluigi Amodio Domenico Giordano Felice Iavernaro Arcangelo Labianca Monica Lazzo Francesca Mazzia Lorenzo Pisani
+	Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles	2020	Luigi Brugnano Felice Iavernaro Ruili Zhang
+	A multi-region variant of the SIR model	2020	Luigi Brugnano Felice Iavernaro
+	On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic	2020	Pierluigi Amodio Luigi Brugnano Felice Iavernaro Francesca Mazzia
+ PDF Chat	A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework	2020	Pierluigi Amodio Luigi Brugnano Felice Iavernaro Francesca Mazzia
+	A multi-region variant of the SIR model and its extensions	2020	Luigi Brugnano Felice Iavernaro
+ PDF Chat	Spectral solution of ODE-IVPs by using SHBVMs	2020	Pierluigi Amodio Luigi Brugnano Felice Iavernaro Cecilia Magherini
+ PDF Chat	A note on the continuous-stage Runge–Kutta(–Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)	2019	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+ PDF Chat	Advanced Numerical Methods in Applied Sciences	2019	Luigi Brugnano Felice Iavernaro
+ PDF Chat	Conjugate-symplecticity properties of Euler–Maclaurin methods and their implementation on the Infinity Computer	2019	Felice Iavernaro Francesca Mazzia Marat S. Mukhametzhanov Yaroslav D. Sergeyev
+ PDF Chat	Fluid statics of a self-gravitating perfect-gas isothermal sphere	2019	D. Giordano Pierluigi Amodio Felice Iavernaro Arcangelo Labianca Monica Lazzo Francesca Mazzia Lorenzo Pisani
+ PDF Chat	Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems	2019	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+ PDF Chat	Line Integral Solution of Hamiltonian PDEs	2019	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+ PDF Chat	Advanced Numerical Methods in Applied Sciences	2019	Luigi Brugnano Felice Iavernaro
+ PDF Chat	Space-time spectrally accurate HBVMs for Hamiltonian PDEs	2019	Luigi Brugnano Felice Iavernaro J.I. Montijano L. Rández
+	Spectrally accurate solutions of nonlinear fractional initial value problems	2019	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+ PDF Chat	Spectrally accurate space-time solution of Hamiltonian PDEs	2018	Luigi Brugnano Felice Iavernaro J.I. Montijano L. Rández
+	Conjugate-symplecticity of Euler-Maclaurin methods	2018	Felice Iavernaro Francesca Mazzia Marat S. Mukhametzhanov Yaroslav D. Sergeyev
+ PDF Chat	Line Integral Solution of Differential Problems	2018	Luigi Brugnano Felice Iavernaro
+	Symplecticity properties of Euler–Maclaurin methods	2018	Felice Iavernaro Francesca Mazzia
+	Predictor-corrector implementation of EQUIP methods	2018	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+	Conjugate-symplecticity properties of Euler--Maclaurin methods and their implementation on the Infinity Computer	2018	Felice Iavernaro Francesca Mazzia Marat S. Mukhametzhanov Yaroslav D. Sergeyev
+ PDF Chat	Line integral solution of Hamiltonian systems with holonomic constraints	2017	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro Ewa Weinmüller
+	Analysis of Energy and QUadratic Invariant Preserving (EQUIP) methods	2017	Luigi Brugnano Gianmarco Gurioli Felice Iavernaro
+ PDF Chat	Energy-conserving methods for the nonlinear Schrödinger equation	2017	Luigi Barletti Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+ PDF Chat	Solving the nonlinear Schrödinger equation using energy conserving Hamiltonian boundary value methods	2017	Luigi Barletti Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+ PDF Chat	A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic	2016	Pierluigi Amodio Felice Iavernaro Francesca Mazzia Marat S. Mukhametzhanov Yaroslav D. Sergeyev
+	On the use of the line integral in the numerical treatment of conservative problems	2016	Luigi Brugnano Felice Iavernaro
+	Line integral formulation of energy and QUadratic invariants preserving (EQUIP) methods for Hamiltonian systems	2016	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+	Numerical methods for solving ODEs on the infinity computer	2016	Francesca Mazzia Yaroslav D. Sergeyev Felice Iavernaro Pierluigi Amodio Marat S. Mukhametzhanov
+	Recent advances in the numerical solution of Hamiltonian partial differential equations	2016	Luigi Barletti Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+	Numerical Methods for Solving Initial Value Problems on the Infinity Computer.	2016	Yaroslav D. Sergeyev Marat S. Mukhametzhanov Francesca Mazzia Felice Iavernaro Pierluigi Amodio
+	Line Integral Methods for Conservative Problems	2015	Luigi Brugnano Felice Iavernaro
+ PDF Chat	Energy conservation issues in the numerical solution of the semilinear wave equation	2015	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+	Modified line integral methods for conservative problems with multiple invariants	2015	Luigi Brugnano Felice Iavernaro
+ PDF Chat	Energy conservation issues in the numerical solution of Hamiltonian PDEs	2015	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+ PDF Chat	Recent advances in the numerical solution of Hamiltonian PDEs	2015	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+	Hamiltonian boundary value methods (HBVMs) and their efficient implementation	2014	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+ PDF Chat	Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics	2014	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+	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	2014	Luigi Brugnano Felice Iavernaro Donato Trigiante
+ PDF Chat	Efficient implementation of Radau collocation methods	2014	Luigi Brugnano Felice Iavernaro Cecilia Magherini
+ PDF Chat	Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems	2014	Luigi Brugnano Felice Iavernaro Donato Trigiante
+ PDF Chat	Efficient implementation of Gauss collocation and Hamiltonian boundary value methods	2014	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+	Energy conserving methods for Hamiltonian PDEs based on spectral space decomposition	2014	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+	Energy conservation in the numerical solution of Hamiltonian boundary value problems	2013	Pierluigi Amodio Luigi Brugnano Felice Iavernaro
+	LINE INTEGRAL METHODS and their application to the numerical solution of conservative problems	2013	Luigi Brugnano Felice Iavernaro
+	Efficient implementation of Radau collocation methods	2013	Luigi Brugnano Felice Iavernaro Cecilia Magherini
+ PDF Chat	Efficient implementation of geometric integrators for separable Hamiltonian problems	2013	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro
+ PDF Chat	Early days in complex dynamics: a history of complex dynamics in one variable during 1906-1942	2012	Daniel Alexander Felice Iavernaro Alessandro Rosa
+ PDF Chat	A two-step, fourth-order method with energy preserving properties	2012	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Line integral methods which preserve all invariants of conservative problems	2012	Luigi Brugnano Felice Iavernaro
+ PDF Chat	A simple framework for the derivation and analysis of effective one-step methods for ODEs	2012	Luigi Brugnano Felice Iavernaro Donato Trigiante
+ PDF Chat	Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae	2012	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Recent advances on the parallelization of Gauss methods	2012	Luigi Brugnano Felice Iavernaro Tiziana Susca
+	Geometric integration by playing with matrices	2012	Luigi Brugnano Felice Iavernaro
+	Recent advances in the numerical solution of conservative problems	2012	Luigi Brugnano Felice Iavernaro
+	A note on the efficient implementation of Hamiltonian BVMs	2011	Luigi Brugnano Felice Iavernaro Donato Trigiante
+ PDF Chat	The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity	2011	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Continued fractions as dynamical systems	2011	Felice Iavernaro Donato Trigiante
+ PDF Chat	Recent Advances on Preserving Methods for General Conservative Systems	2011	Luigi Brugnano Felice Iavernaro Theodore E. Simos George Psihoyios Ch. Tsitouras Zacharias Anastassi
+	Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Numerical comparisons between Gauss-Legendre methods and Hamiltonian BVMs defined over Gauss points	2010	Luigi Brugnano Felice Iavernaro Tiziana Susca
+	The HBVMs Homepage	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Numerical comparisons between Gauss-Legendre methods and Hamiltonian BVMs defined over Gauss points	2010	Luigi Brugnano Felice Iavernaro Tiziana Susca
+	The Hamiltonian BVMs (HBVMs) Homepage	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Isospectral Property of Hamiltonian Boundary Value Methods (HBVMs) and their blended implementation	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Isospectral Property of Hamiltonian Boundary Value Methods (HBVMs) and their connections with Runge-Kutta collocation methods	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante
+ PDF Chat	Numerical Comparisons among Some Methods for Hamiltonian Problems	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante Theodore E. Simos George Psihoyios Ch. Tsitouras
+ PDF Chat	Energy and Quadratic Invariants Preserving Integrators of Gaussian Type	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante Theodore E. Simos George Psihoyios Ch. Tsitouras
+	Numerical comparisons between Gauss-Legendre methods and Hamiltonian BVMs defined over Gauss points	2010	Luigi Brugnano Felice Iavernaro Tiziana Susca
+	Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Analisys of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of polynomial Hamiltonian dynamical systems	2009	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Continued fractions without fractions: Lagrange theorem and Pell equations	2009	Felice Iavernaro Donato Trigiante
+	Hamiltonian BVMs (HBVMs): Implementation Details and Applications	2009	Luigi Brugnano Felice Iavernaro Tiziana Susca Theodore E. Simos George Psihoyios Ch. Tsitouras
+	Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)	2009	Luigi Brugnano Felice Iavernaro Donato Trigiante
+	Hamiltonian BVMs (HBVMs): A Family of “Drift Free” Methods for Integrating polynomial Hamiltonian problems	2009	Luigi Brugnano Felice Iavernaro Donato Trigiante Theodore E. Simos George Psihoyios Ch. Tsitouras
+	High-order Symmetric Schemes for the Energy Conservation of Polynomial Hamiltonian Problems 1 2	2009	Felice Iavernaro Donato Trigiante
+	Conservative Block‐Boundary Value Methods for the Solution of Polynomial Hamiltonian Systems	2008	Felice Iavernaro Brigida Pace
+	Discrete mathematics, discrete physics and numerical methods	2007	Felice Iavernaro Donato Trigiante
+	s-stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type	2007	Felice Iavernaro Brigida Pace Theodore E. Simos George Psihoyios Ch. Tsitouras
+	Symmetric Boundary Value Methods for Second Order Initial and Boundary Value Problems	2006	Pierluigi Amodio Felice Iavernaro
+	State-dependent symplecticity and area preserving numerical methods	2006	Felice Iavernaro Donato Trigiante
+	State Dependent Symplecticity of Symmetric Methods	2006	Felice Iavernaro Brigida Pace
+	Discrete conservative vector fields induced by the Trapezoidal Method	2006	Felice Iavernaro Donato Trigiante
+	Stability and conditioning in numerical analysis	2006	Felice Iavernaro Francesca Mazzia Donato Trigiante
+	Multistep Methods for Conservative Problems	2005	Felice Iavernaro Francesca Mazzia Donato Trigiante
+	On some conservation properties of the trapezoidal method ap- plied to Hamiltonian systems	2005	Felice Iavernaro Donato Trigiante
+	Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems	2004	Pierluigi Amodio Felice Iavernaro D. Trigiante
+ PDF Chat	Conservative perturbations of positive definite Hamiltonian matrices	2004	Pierluigi Amodio Felice Iavernaro Donato Trigiante
+	Test Set for Initial Value Problem Solvers	2003	Felice Iavernaro Francesca Mazzia
+	Parallel implicit predictor corrector methods	2002	Felice Iavernaro Francesca Mazzia
+	None	2002	Felice Iavernaro Francesca Mazzia Donato Trigiante
+ PDF Chat	Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems	2002	Pierluigi Amodio Felice Iavernaro Donato Trigiante
+	None	2002	Felice Iavernaro Francesca Mazzia
+	Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs	2001	G. Di Lena Felice Iavernaro
+	Preconditioning and conditioning of systems arising from boundary value methods	2001	Felice Iavernaro Donato Trigiante
+ PDF Chat	On the Extension of the Code GAM for Parallel Computing⋆	1999	Felice Iavernaro Francesca Mazzia
+	Block-Boundary Value Methods for the Solution of Ordinary Differential Equations	1999	Felice Iavernaro Francesca Mazzia
+	Solving ordinary differential equations by generalized Adams methods: properties and implementation techniques	1998	Felice Iavernaro Francesca Mazzia
+	Boundary values methods for time-domain simulation of power system dynamic behavior	1998	Felice Iavernaro Massimo La Scala Francesca Mazzia
+	Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems	1997	Felice Iavernaro Francesca Mazzia
+	Soliton-like solutions of the discrete wave equation	1996	Felice Iavernaro Donato Trigiante

Common Coauthors

Coauthor	Papers Together
Luigi Brugnano	94
Donato Trigiante	33
Pierluigi Amodio	32
Francesca Mazzia	30
Gianluca Frasca-Caccia	16
Gianmarco Gurioli	10
D. Giordano	8
Yaroslav D. Sergeyev	7
Marat S. Mukhametzhanov	7
George Psihoyios	6
Ch. Tsitouras	6
Theodore E. Simos	6
Luigi Barletti	5
Tiziana Susca	4
Cecilia Magherini	3
Brigida Pace	3
Giorgia Rubino	3
Paolo Zanzottera	3
Vincenzo Vespri	2
Kevin Burrage	2
Arcangelo Labianca	2
Pamela Burrage	2
Mátyás Szücs	2
J.I. Montijano	2
Monica Lazzo	2
L. Rández	2
P. Ván	2
Lorenzo Pisani	2
Domenico Giordano	2
Daniel Alexander	1
G. Di Lena	1
Massimo La Scala	1
Mufutau Ajani Rufai	1
Marcello De Giosa	1
Antonella Falini	1
Zacharias Anastassi	1
Daniele Bufalo	1
Michele Bufalo	1
Ruili Zhang	1
Higinio Ramos	1
Susanna Losito	1
Tiziana Susca	1
D. Trigiante	1
Alessandro Rosa	1
Ewa Weinmüller	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A simple framework for the derivation and analysis of effective one-step methods for ODEs	2012	Luigi Brugnano Felice Iavernaro Donato Trigiante	50
+	A note on the efficient implementation of Hamiltonian BVMs	2011	Luigi Brugnano Felice Iavernaro Donato Trigiante	49
+	Line Integral Methods for Conservative Problems	2015	Luigi Brugnano Felice Iavernaro	41
+	Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)	2009	Luigi Brugnano Felice Iavernaro Donato Trigiante	40
+	s-stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type	2007	Felice Iavernaro Brigida Pace Theodore E. Simos George Psihoyios Ch. Tsitouras	39
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	38
+	Hamiltonian BVMs (HBVMs): A Family of “Drift Free” Methods for Integrating polynomial Hamiltonian problems	2009	Luigi Brugnano Felice Iavernaro Donato Trigiante Theodore E. Simos George Psihoyios Ch. Tsitouras	36
+ PDF Chat	Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems	2014	Luigi Brugnano Felice Iavernaro Donato Trigiante	36
+	High-order Symmetric Schemes for the Energy Conservation of Polynomial Hamiltonian Problems 1 2	2009	Felice Iavernaro Donato Trigiante	33
+	Conservative Block‐Boundary Value Methods for the Solution of Polynomial Hamiltonian Systems	2008	Felice Iavernaro Brigida Pace	31
+ PDF Chat	Line Integral Solution of Differential Problems	2018	Luigi Brugnano Felice Iavernaro	27
+	Blended implementation of block implicit methods for ODEs*1	2002	Luigi Brugnano	27
+	Recent advances in linear analysis of convergence for splittings for solving ODE problems	2008	Luigi Brugnano Cecilia Magherini	26
+ PDF Chat	The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity	2011	Luigi Brugnano Felice Iavernaro Donato Trigiante	26
+	A new class of energy-preserving numerical integration methods	2008	G. Quispel David McLaren	26
+ PDF Chat	Efficient implementation of Gauss collocation and Hamiltonian boundary value methods	2014	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro	25
+	Simulating Hamiltonian Dynamics	2005	Benedict Leimkuhler Sebastian Reich	24
+ PDF Chat	Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae	2012	Luigi Brugnano Felice Iavernaro Donato Trigiante	24
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	22
+	Numerical Hamiltonian Problems	1994	J. M. Sanz‐Serna M. P. Calvo	21
+	Geometric Numerical Integration	2002	Ernst Hairer Gerhard Wanner Christian Lubich	21
+ PDF Chat	Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems	2019	Pierluigi Amodio Luigi Brugnano Felice Iavernaro	20
+	Line integral methods which preserve all invariants of conservative problems	2012	Luigi Brugnano Felice Iavernaro	20
+	Geometric integration using discrete gradients	1999	Robert I. McLachlan G. Quispel Nicolas Robidoux	20
+ PDF Chat	Spectrally accurate space-time solution of Hamiltonian PDEs	2018	Luigi Brugnano Felice Iavernaro J.I. Montijano L. Rández	20
+	Blended implicit methods for the numerical solution of DAE problems	2005	Luigi Brugnano Cecilia Magherini Filippo Mugnai	19
+	Geometric Numerical Integration	2006	Ernst Hairer Marlis Hochbruck Arieh Iserles Christian Lubich	19
+	The BiM code for the numerical solution of ODEs	2003	Luigi Brugnano Cecilia Magherini	19
+	Energy-preserving methods for Poisson systems	2012	Luigi Brugnano M. Calvo J.I. Montijano L. Rández	18
+	Energy-preserving variant of collocation methods 1	2010	Ernst Hairer	18
+	Solving differential problems by multistep initial and boundary value methods	1998	Luigi Brugnano Donato Trigiante	18
+ PDF Chat	Energy-preserving Runge-Kutta methods	2009	Elena Celledoni Robert I. McLachlan David McLaren Brynjulf Owren G. Quispel William M. D. Wright	17
+	Analisys of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of polynomial Hamiltonian dynamical systems	2009	Luigi Brugnano Felice Iavernaro Donato Trigiante	16
+	Discrete conservative vector fields induced by the Trapezoidal Method	2006	Felice Iavernaro Donato Trigiante	16
+	Blended implicit methods for solving ODE and DAE problems, and their extension for second-order problems	2006	Luigi Brugnano Cecilia Magherini	15
+ PDF Chat	A two-step, fourth-order method with energy preserving properties	2012	Luigi Brugnano Felice Iavernaro Donato Trigiante	15
+	Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems	1991	Ernst Hairer Gerhard Wanner	14
+	Simulating Hamiltonian Dynamics	2005	Benedict Leimkuhler Sebastian Reich	14
+	Energy Conservation with Non-Symplectic Methods: Examples and Counter-Examples	2004	Erwan Faou Ernst Hairer Truong-Linh Pham	14
+ PDF Chat	Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems	2014	Luigi Brugnano Yajuan Sun	13
+ PDF Chat	Energy conservation issues in the numerical solution of the semilinear wave equation	2015	Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro	12
+	The Hamiltonian BVMs (HBVMs) Homepage	2010	Luigi Brugnano Felice Iavernaro Donato Trigiante	11
+	Blended block BVMS (B3VMs): A family of economical implicit methods for ODES	2000	Luigi Brugnano	11
+	An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants	2006	Philippe Chartier Erwan Faou Ander Murua	11
+	Numerical Hamiltonian Problems.	1995	A. Iserles J. M. Sanz‐Serna M. P. Calvo	11
+	Hamiltonian BVMs (HBVMs): Implementation Details and Applications	2009	Luigi Brugnano Felice Iavernaro Tiziana Susca Theodore E. Simos George Psihoyios Ch. Tsitouras	11
+ PDF Chat	On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems	2018	Luigi Brugnano J.I. Montijano L. Rández	11
+ PDF Chat	Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics	2014	Pierluigi Amodio Luigi Brugnano Felice Iavernaro	10
+	Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg–de Vries equation	2018	Luigi Brugnano Gianmarco Gurioli Yajuan Sun	10
+ PDF Chat	High-order energy-conserving Line Integral Methods for charged particle dynamics	2019	Luigi Brugnano J.I. Montijano L. Rández	10