LOCAL STRUCTURE-PRESERVING ALGORITHMS FOR THE KDV EQUATION

• Published in: Journal of computational mathematics Vol. 35; no. 3; pp. 289 - 318
• Main Authors: Wang, Jialing, Wang, Yushun
• Format: Journal Article
• Language: English
• Published: Chinese Academy of Mathematices and Systems Science (AMSS) Chinese Academy of Sciences 01.05.2017

In this paper, based on the concatenating method, we present a unified framework to construct a series of local structure-preserving algorithms for the Korteweg-de Vries （KdV） equation, including eight multi-symplectic algorithms, eight local energy-conserving algo- rithms and eight local momentum-c...