1) 4-order symposium
4阶辛格式
1.
We investigated the error in the solution of 4-order symposium,which was compared with that of 2-order symposium.
利用4阶辛格式计算波函数实部和虚部结果的精密度比2阶格式高出7个数量级,即绝对误差低7个数量级,但二者演变规律基本相同,即绝对误差随着时间的推演均周期性地在正数和负数之间来回变动,变化方式类似于正弦、余弦函数,其振幅不断增大。
2) fourth-order explicit symplectic algorithm
四阶显式辛格式
1.
Quasi-classical trajectories of N+O_2 reaction system have been performed by the fourth-order explicit symplectic algorithm(S4),based on a new ground potential energy surface constructed by Sayós et al,and the results are compared with those of the fourth-order Runge-Kutta scheme(RK4).
基于Sayós等通过精确的ab initio计算得到的基态势能面,采用四阶显式辛格式计算了N+O2反应体系的准经典轨线,并与四阶Runge-Kutta法的结果进行了比较。
3) symplectic scheme
辛格式
1.
Computing classical trajectories of H_2 system by symplectic scheme;
用辛格式计算氢分子经典轨迹和振动能量
2.
Two order two stage explicit symplectic scheme and its stablity for the four-order rod vibration equation;
杆振动方程的二级二阶显式辛格式及其稳定性
3.
Computing one-dimensional stationary state Schrdinger equation by Symplectic schemes;
应用辛格式求解一维定态Schrdinger方程
4) multi-symplectic scheme
多辛格式
1.
Multi-symplectic equations with multi-symplectic schemes which must preserve discrete multi-symplectic conservation law was discreted.
本文利用正则变换,构造正则长波方程的多辛方程组,利用多辛算法离散此多辛方程组,得到一个多辛中点格式,要求所得到的多辛格式满足离散形式的多辛守恒律,并分析了它的线性部分的稳定性。
2.
We consider a multi-symplectic scheme for the SRLW equation in the paper.
用多辛Euler方法离散此方程组得到了它的多辛格式,并且推导了它的局部能量守恒律的离散误差。
3.
And the numerical experiments show that the multi-symplectic scheme has excellent long-time numerical behavior .
提出了MKdV方程的一个多辛Hamilton形式,并利用中点辛离散得到一个等价于多辛Preissman积分的新格式,最后用数值例子说明:多辛格式具有良好的长时间数值行为。
5) Sympletic-like scheme
准辛格式
6) symplectic schemes
辛格式
1.
In this paper, we will present the implicit symplectic schemes of the four-order rod vibration equation via tanh(x) and the corresponding iterative methods.
利用tanh(x)函数构造四阶杆振动方程的隐式辛格式并建立相应的迭代解法,讨论其收敛性,最后用数值例子说明理论分析的正确性。
2.
In this paper,we will use the hyperbolic functions sinh(x)and tanh(x)toconstruct symplectic schemes of arbitrary order for schrodinger equations and stabilities ofthese constructed schemes are also discussed.
本文利用Ｈｙｐｅｒｂｏｌｉｃ函数ｓｉｎｈ（ｘ）和ｔａｎｈ（ｘ）构造了Ｓｃｈｒｏｄｉｎｓｅｒ方程的任意阶的辛格式并讨论了它们的稳定性。
补充资料：无阶
1.谓没有门径。
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