Two Kinds of Square-Conservative Integrators for Nonlinear Evolution Equations  

作　　者：陈景波 刘洪 

机构地区：[1]Institute of Geology and Geophysics, Chinese Academy of Sciences, PO Box 9825, Beijing 100029

出　　处：《Chinese Physics Letters》2008年第4期1168-1171,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under grant No 40774069, and the National Hi-Tech Research and Development Programme of China under Grant No 2006AAO9A102-08, and the National Basic Research Programme of China under Grant No 2007CB209603.

摘　　要：Based on the Lie-group and Gauss-Legendre methods, two kinds of square-conservative integrators for square- conservative nonlinear evolution equations are presented. Lie-group based square-conservative integrators are linearly implicit, while Gauss-Legendre based square-conservative integrators are nonlinearly implicit and iterative schemes are needed to solve the corresponding integrators. These two kinds of integrators provide natural candidates for simulating square-conservative nonlinear evolution equations in the sense that these integrators not only preserve the square-conservative properties of the continuous equations but also are nonlinearly stable. Numerical experiments are performed to test the presented integrators.Based on the Lie-group and Gauss-Legendre methods, two kinds of square-conservative integrators for square- conservative nonlinear evolution equations are presented. Lie-group based square-conservative integrators are linearly implicit, while Gauss-Legendre based square-conservative integrators are nonlinearly implicit and iterative schemes are needed to solve the corresponding integrators. These two kinds of integrators provide natural candidates for simulating square-conservative nonlinear evolution equations in the sense that these integrators not only preserve the square-conservative properties of the continuous equations but also are nonlinearly stable. Numerical experiments are performed to test the presented integrators.

关 键 词：supernova explosion proto-neutron star shock wave 

分 类 号：O313[理学—一般力学与力学基础] O151[理学—力学]