摘要
In this paPer the author studies Buttke’s velicity reformulation of the incompressible Euler equation, and the symPlectic integration of the Hamiltonian system obtained by discretizing the vehicity equation.The author shows that he linearized velicity equation is hyperbolic only in the weak sense and she analyzes the characteristics of the linea-rized velicity equation for the variable coefficient case. The author will briefiy describe the symplectic schemes: one is the imPlicit midpoint scheme, and tanother a fourthorder implicit scheme. Also, the author shows a computational result obtained by redistributing the Lagrangian points at flxed times.
In this paPer the author studies Buttke's velicity reformulation of the incompressible Euler equation, and the symPlectic integration of the Hamiltonian system obtained by discretizing the vehicity equation.The author shows that he linearized velicity equation is hyperbolic only in the weak sense and she analyzes the characteristics of the linea-rized velicity equation for the variable coefficient case. The author will briefiy describe the symplectic schemes: one is the imPlicit midpoint scheme, and tanother a fourthorder implicit scheme. Also, the author shows a computational result obtained by redistributing the Lagrangian points at flxed times.
出处
《计算数学》
CSCD
北大核心
1999年第2期171-180,共10页
Mathematica Numerica Sinica
