Spectrally Accurate Energy-preserving Methods for the Numerical Solution of the "Good" Boussinesq Equation
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🧮 math.NA
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boussinesqequationgoodmethodsnumericalsolutionableaccurate
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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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