A Local Discontinuous Galerkin Method For The Fourth Order NLS Equation

Li, Wenting; Yao, Mingchen; Jiang, Kun

doi:10.1016/j.egypro.2011.12.435

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B the Ldg Method1

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2012

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Cited by 1 publication

(2 citation statements)

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“…The numerical fluxes in are chosen for 10 where we have omitted the half-integer indices j + 2. as 2 all quantities in (10) are computed at the same points (i.e., the interfaces between the cells). We remark that the choice of the fluxes (10) is not unique.…”

Section: B the Ldg Methodmentioning

confidence: 99%

“…Recently, Xu and Shu [7,8] further developed the local discontinuous Galerkin method to solve three classes of nonlinear wave equations fonnulated by the general KdV-Burgers type equations, the general fifth-order KdV type equations and the Camassa-Holm equation. Li and Jiang [9,10] developed the LDG method for solving CMKDV equation and the high order NLS equation.…”

Section: Introductionmentioning

confidence: 99%

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A LDG method for the fourth-order NLS equation

Jiang

Lin

2012

2012 International Conference on Computer Science and Information Processing (CSIP)

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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 Schrodinger equations on LDG method. The L Z stability of the LDG methods is proved for general solutions. Numerical results are shown to illustrate the accuracy and capability of the LDG method.

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Section: B the Ldg Methodmentioning

confidence: 99%