170 citations · 1.3k across the 56 of their papers we have counts for
7 papers · 1 filter
Energy-conserving methods for Hamiltonian Boundary Value Problems and applications in astrodynamics
P. Amodio, L. Brugnano, F. Iavernaro
We introduce new methods for the numerical solution of general Hamiltonian boundary value problems. The main feature of the new formulae is to produce numerical solutions along whi…
Efficient implementation of geometric integrators for separable Hamiltonian problems
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
We here investigate the efficient implementation of the energy-conserving methods named Hamiltonian Boundary Value Methods (HBVMs) recently introduced for the numerical solution of…
Enhanced HBVMs for the numerical solution of Hamiltonian problems with multiple invariants
Luigi Brugnano, Yajuan Sun
Recently, the class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value Methods (HBVMs), has been proposed for the efficient solution of Hamiltonian problems,…
Efficient implementation of Gauss collocation and Hamiltonian Boundary Value Methods
Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
In this paper we define an efficient implementation for the family of low-rank energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value Methods (HBVMs), recently defi…
Efficient implementation of Radau collocation methods
L. Brugnano, F. Iavernaro, C. Magherini
In this paper we define an efficient implementation of Runge-Kutta methods of Radau IIA type, which are commonly used when solving stiff ODE-IVPs problems. The proposed implementat…
Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems
Luigi Brugnano, Yajuan Sun
In a recent series of papers, the class of energy-conserving Runge-Kutta methods named Hamiltonian BVMs (HBVMs) has been defined and studied. Such methods have been further general…
LINE INTEGRAL METHODS and their application to the numerical solution of conservative problems
Luigi Brugnano, Felice Iavernaro
These are the lecture notes of a course given by the first author on December 27, 2012 - January 4, 2013, held at the Academy of Mathematics and Systems Science Chinese Academy of…