A Local Discontinuous Galerkin Method for the Complex Modified KdV Equation

机译：一种用于复杂改性KDV方程的局部不连续的Galerkin方法

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In this paper, we develop a local discontinuous Galerkin(LDG) method for solving complex modified KdV(CMKdV) equation. The LDG method has the flexibility for arbitrary h and p adaptivity. We prove the L2 stability for general solutions.

机译：在本文中，我们开发了一种用于求解复杂改性KDV（CMKDV）方程的本地不连续的Galerkin（LDG）方法。 LDG方法具有任意H和P适应性的灵活性。我们证明了一般解决方案的L2稳定性。

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《International Conference on Numerical Analysis and Applied Mathematics》|2010年||共4页
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Wenting Li; Kun Jiang;
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中图分类 O241-532;
关键词
Local discontinuous Galerkin method; Complex modified KdV equation; Stability;

机译：局部不连续的Galerkin方法;复杂的改性KDV方程;稳定性;

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1. Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations [J] . Yan Xu, Chi-Wang Shu Computer Methods in Applied Mechanics and Engineering . 2006,第25a28期

机译：Kuramoto-Sivashinsky方程和Ito型耦合KdV方程的局部不连续Galerkin方法
2. Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations [J] . Zhang Chao, Xu Yan, Xia Yinhua Journal of Scientific Computing . 2021,第1期

机译：局部不连续的Galerkin方法到KDV型方程的分散系统
3. ANALYSIS OF LOCAL DISCONTINUOUS GALERKIN METHODS WITH GENERALIZED NUMERICAL FLUXES FOR LINEARIZED KDV EQUATIONS [J] . Li Jia, Zhang Dazhi, Meng Xiong, Mathematics of computation . 2020,第325期

机译：用于线性化KDV方程的通用数值局部局部不连续的Galerkin方法分析
4. A Local Discontinuous Galerkin Method for the Complex Modified KdV Equation [C] . Wenting Li, Kun Jiang International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：一种用于复杂改性KDV方程的局部不连续的Galerkin方法
5. Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity. [D] . Li, Jizhou. 2013

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6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

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7. Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation [O] . Wei Leilei, He Yinnian 2012

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8. A Local Discontinuous Galerkin Method for KdV-type Equations [R] . Yan, Jue, Shu, Chi-Wang 2001

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A Local Discontinuous Galerkin Method for the Complex Modified KdV Equation

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