本文選題：Hamilton系統(tǒng) + Preissmann格式�。� 參考：《蘭州理工大學(xué)學(xué)報》2017年01期

【摘要】：引入正則動量,驗證了W-B-K方程具有Hamilton系統(tǒng)多辛格式,并證實此格式具有多辛守恒律、局部能量守恒律和動量守恒律.基于Hamilton空間體系的多辛理論研究了W-B-K方程的數(shù)值解法,利用中心Preissmann方法構(gòu)造離散多辛格式的途徑,并構(gòu)造了一種典型的半隱式的多辛格式,該格式滿足多辛守恒律.數(shù)值算例結(jié)果表明該多辛離散格式具有較好的長時間數(shù)值穩(wěn)定性.
[Abstract]:By introducing regular momentum, it is proved that the W-B-K equation has multiple symplectic schemes for Hamilton systems, and that the schemes have multi-symplectic conservation laws, local energy conservation laws and momentum conservation laws. Based on the multi-symplectic theory of Hamilton space system, the numerical solution of W-B-K equation is studied. The method of constructing discrete multi-symplectic scheme by using the central Preissmann method is presented. A typical semi-implicit multi-symplectic scheme is constructed, which satisfies the multi-symplectic conservation law. Numerical results show that the multi-symplectic discrete scheme has good numerical stability for a long time.
【作者單位】： 普洱學(xué)院數(shù)學(xué)系;
【基金】：云南省教育廳基金(2015y490)
【分類號】：O241.82

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