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arXiv · 1410.7010

Energy conserving methods for Hamiltonian PDEs based on spectral space decomposition

Luigi Brugnano·Gianluca Frasca Caccia·Felice Iavernaro
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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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Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro. 2014-10-26. Energy conserving methods for Hamiltonian PDEs based on spectral space decomposition. https://arxiv.org/abs/1410.7010

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