Due Giorni di Algebra Lineare Numerica e Applicazioni

SVD-based Line Integral Methods for preserving multiple invariants of Hamiltonian problems

Not scheduled

20m

Building E (Aula Magna "Fratelli Pontecorvo", Building E, Polo Fibonacci. Pisa)

Talk Morning Session III

Speaker

Dr Gianmarco Gurioli (University of Florence)

Description

In this talk, we generalize the class of energy-conserving Runge-Kutta methods, named Hamiltonian Boundary Value Methods, to handle the numerical solution of Hamiltonian problems with additional independent invariants besides the Hamiltonian. The proposed strategy relies on the solution of a perturbed problem, where a minimum norm perturbation is computed by resorting to the singular value decomposition. The analysis of the approach is given and numerical tests are reported, to make evidence of the theoretical findings and assess their effectiveness.

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