Zhidong Lin

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In this paper, a local discontinuous Galerkin (LDG) method is is designed for solving the BBM-Burgers equation with four-order spatial derivatives. Our schemes extend the previous work of Xu and Shu [8] solving the nonlinear Schro&#x0308;dinger equations on LDG method. The L<sup>2</sup> stability of the LDG methods is proved for general solutions. Numerical(More)
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