Comparison of different discontinuous Galerkin methods based on various reformulations for gKdV equation: Soliton dynamics and blowup

Author:

Hong Xue,Wei Qianrui,Zhao XiaofeiORCID

Funder

Natural Science Foundation of Hubei Province

National Natural Science Foundation of China

Le Centre Henri Lebesgue

Publisher

Elsevier BV

Reference48 articles.

1. Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation;Bona;Math. Comput.,2013

2. Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation;Bona;Philos. Trans. R. Soc. A, Math. Phys. Eng. Sci.,1995

3. Similarity solutions of the generalized Korteweg-de Vries equation;Bona;Math. Proc. Camb. Philos. Soc.,1999

4. A new conservative discontinuous Galerkin method via implicit penalization for the generalized Korteweg-de Vries equation;Chen;SIAM J. Numer. Anal.,2022

5. Multilinear estimates for periodic KdV equations, and applications;Colliander;J. Funct. Anal.,2004

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