A Fourier-Galerkin spectral method with error estimates is derived and tested for the periodic initial-value problem of 2D Boussinesq/Boussinesq models of internal waves.
Saut, Asymptotic Models for Surface and Internal W aves, 29 o Col´ oquio Brasileiro de Matem´ atica, IMPA, Rio de Janeiro
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The numerical solution of 2D Boussinesq/Boussinesq models for internal waves with spectral methods
A Fourier-Galerkin spectral method with error estimates is derived and tested for the periodic initial-value problem of 2D Boussinesq/Boussinesq models of internal waves.