Energy conserving methods for Hamiltonian PDEs based on spectral space decomposition

2014/10/26 by Brugnano, Luigi, Caccia, Gianluca Frasca, Iavernaro, Felice
#65L05 #65M20 #65P10 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1410.7010

Abstract

In this paper we discuss energy conservation issues related to the numerical solution of the nonlinear wave equation, when a Fourier expansion is considered for the space discretization. The obtained semi-discrete problem is then solved in time by means of energy-conserving Runge-Kutta methods in the HBVMs class.

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