11月14日下午-A novel kind of efficient symplectic scheme for Klein-Gordon-Schrödinger equation
报告题目: A novel kind of efficient symplectic scheme for Klein-Gordon-Schrödinger equation
报告摘要: In this talk, a family of high order compact symplectic schemes will be proposed for the Klein-Gordon-Schrödinger (KGS) equation. The KGS is cast into a Hamiltonian form. At first, we discretize the Hamiltonian system in space by a high order compact method which has higher convergent rate than finite difference methods. Then the semi-discretized system is approximated in time by the Euler midpoint scheme which preserves the symplectic structure of the original system. The conserved quantities of the scheme, including symplectic structure conservation law, charge conservation law and energy conservation law, are discussed. The local truncation error and global error of the numerical solvers are investigated. Finally, some numerical results are presented to numerically validate the theoretical analysis.
报告时间: 2018.11.14 (周三) 下午 16:00-17:00