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arXiv 1012.3242nlin.PScond-mat.othermath-phmath.DSmath.MP
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离散非线性薛定谔方程的高阶显式辛积分

High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation

Jehan Boreux, Timoteo Carletti, Charles Hubaux

摘要:

基于Yoshida(H.李明,高次辛积分器的构造,物理学报,1990,第150,5,6,7页。(第262段)我们可以构造高阶数值格式,结果是显式方法,因此非常快。积分器的性能进行了讨论,研究了作为集成时间步长的函数,并与一些非辛方法。

英文摘要:

We propose a family of reliable symplectic integrators adapted to the Discrete Non-Linear Schrödinger equation; based on an idea of Yoshida (H. Yoshida, Construction of higher order symplectic integrators, Physics Letters A, 150, 5,6,7, (1990), pp. 262.) we can construct high order numerical schemes, that result to be explicit methods and thus very fast. The performances of the integrators are discussed, studied as functions of the integration time step and compared with some non symplectic methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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