%0 Journal Article %T Multisymplectic Euler Box Scheme for the KdV Equation %A WANG Yu-Shun %A WANG Bin %A CHEN Xin %A
王雨顺 %A 王斌 %A 陈新 %J 中国物理快报 %D 2007 %I %X We investigate the multisymplectic Euler box scheme for the Korteweg--de Vries (KdV) equation. A new completely explicit six-point scheme is derived. Numerical experiments of the new scheme with comparisons to the Zabusky- Kruskal scheme, the multisymplectic 12-point scheme, the narrow box scheme and the spectral method are made to show nice numerical stability and ability to preserve the integral invariant for long-time integration. %K 02 %K 60 %K Cb %K 02 %K 70 %K Bf %K 45 %K 10 %K Na %K 45 %K 20 %K Dh
KdV方程 %K 欧拉盒 %K 对偶性 %K 光谱 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=A6F1F92187EC7BB80F60FA1651C367C9&yid=A732AF04DDA03BB3&vid=B91E8C6D6FE990DB&iid=0B39A22176CE99FB&sid=7737D2F848706113&eid=AA5FB09E1F81059E&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0