170 citations · 1.3k across the 56 of their papers we have counts for
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(Spectral) Chebyshev collocation methods for solving differential equations
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Recently, the efficient numerical solution of Hamiltonian problems has been tackled by defining the class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value…
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials
P. Amodio, L. Brugnano, F. Iavernaro
In this note we provide an algorithm for computing the fractional integrals of orthogonal polynomials, which is more stable than that using the expression of the polynomials w.r.t.…
Continuous-Stage Runge-Kutta approximation to Differential Problems
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary V…
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
In this paper we are concerned with numerical methods for the one-sided event location in discontinuous differential problems, whose event function is nonlinear (in particular, of…
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
P. Amodio, L. Brugnano, G. Frasca-Caccia +1
In this paper, we define arbitrarily high-order energy-conserving methods for Hamiltonian systems with quadratic holonomic constraints. The derivation of the methods is made within…