NAJul 13, 2018
Spectrally Accurate Energy-preserving Methods for the Numerical Solution of the "Good" Boussinesq EquationLuigi Brugnano, Gianmarco Gurioli, Chengjian Zhang
In this paper we study the geometric solution of the so called "good" Boussinesq equation. This goal is achieved by using a convenient space semi-discretization, able to preserve the corresponding Hamiltonian structure, then using energy-conserving Runge-Kutta methods in the HBVM class for the time integration. Numerical tests are reported, confirming the effectiveness of the proposed method.