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arXiv · 1807.05182

Spectrally Accurate Energy-preserving Methods for the Numerical Solution of the "Good" Boussinesq Equation

Luigi Brugnano·Gianmarco Gurioli·Chengjian Zhang
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Abstract

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.

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Luigi Brugnano, Gianmarco Gurioli, Chengjian Zhang. 2018-07-13. Spectrally Accurate Energy-preserving Methods for the Numerical Solution of the "Good" Boussinesq Equation. https://doi.org/10.1002/num.2022353

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