New energy-preserving schemes for Klein-Gordon-Schrödinger equations
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- 作者：Jingjing Zhang ; a ; zhangjj@lsec.cc.ac.cn" class="auth_mail" title="E-mail the corresponding author ; Linghua Kongb ; konglh@mail.ustc.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Klein&ndash ; Gordon&ndash ; Schrö ; dinger equations ; Sinc collocation ; Discrete gradient ; Energy-preserving
- 刊名：Applied Mathematical Modelling
- 出版年：2016
- 出版时间：August 2016
- 年：2016
- 卷：40
- 期：15-16
- 页码：6969-6982
- 全文大小：894 K
文摘
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We consider an infinite dimensional Hamilton form of KGS equations.
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We discretize spatial derivatives by Sinc collocation method then discretize derived ODEs by discrete gradient method.
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New energy-preserving schemes are proposed with 1st and 2nd accuracy in time direction.
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Schemes preserve discrete charge.