Symplectic Partitioned Runge-Kutta methods with minimal phase-lag

Monovasilis T; Kalogiratou Z; Simos TE

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Symplectic Partitioned Runge-Kutta methods with minimal phase-lag

机译：具有最小相位滞后的辛分割Runge-Kutta方法

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摘要

Symplectic Partitioned Runge-Kutta (SPRK) methods with minimal phase-lag are derived. Specifically two new symplectic methods are constructed of second and third order with fifth phase-lag order. The methods are tested on the numerical integration of Hamiltonian problems and the Schrodinger equation.

机译：推导了具有最小相位滞后的辛分割Runge-Kutta（SPRK）方法。具体地，构造了具有五阶相位滞后阶的二阶和三阶的两种新辛算法。对哈密顿问题和Schrodinger方程的数值积分进行了测试。

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《Computer physics communications》 |2010年第7期|共4页
作者
Monovasilis T; Kalogiratou Z; Simos TE;
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正文语种 eng
中图分类计算机的应用;
关键词
Symplectic Partitioned Runge–Kutta; methods; Hamiltonian problems; Schrodinger equation; Phase-lag;

机译：辛分区Runge-Kutta;方法;Hamilton问题;Schrodinger方程;相位滞后;

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专利

1. Symplectic Partitioned Runge-Kutta methods with minimal phase-lag [J] . Monovasilis T, Kalogiratou Z, Simos TE Computer physics communications . 2010,第7期

机译：具有最小相位滞后的辛分割Runge-Kutta方法
2. Symplectic partitioned Runge-Kutta methods with the phase-lag property [J] . Monovasilis Th. Applied mathematics and computation . 2012,第18期

机译：具有相位滞后性质的辛分区Runge-Kutta方法
3. Computation of the eigenvalues of the Schrodinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge-Kutta methods [J] . Monovasilis T, Kalogiratou Z, Simos TE Physics Letters, A . 2008,第5期

机译：用辛和三角拟合辛分割的Runge-Kutta方法计算Schrodinger方程的特征值
4. A Diagonally Implicit Symplectic Runge-Kutta Method with Minimum Phase-lag [C] . Z. Kalogiratou, Th. Monovasilis, T. E. Simos International Conference of Numerical Analysis and Applied Mathematics . 2011

机译：具有最小阶段滞后的对角隐式杂项跳动-Kutta方法
5. Dual-rate integration using partitioned Runge-Kutta methods for mechanical systems with interacting subsystems. [D] . Shome, Siddhartha Samir. 2000

机译：使用分区的Runge-Kutta方法对具有交互子系统的机械系统进行双速率集成。
6. Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order [O] . Y. H. Cong, C. X. Jiang -1

机译：具有高代数和色散阶的对角隐辛辛格Runge-Kutta方法
7. Construction of symplectic (partitioned) Runge-Kutta methods with continuous stage [O] . Tang, Wensheng, Lang, Guangming, Luo, Xuqiong 2015

机译：用maTLaB构造辛（分区）Runge-Kutta方法连续阶段
8. Construction and Analysis of Multi-Rate Partitioned Runge-Kutta Methods. [R] . Mugg, P. R. 2012

机译：多速率分区Runge-Kutta方法的构造与分析。

Symplectic Partitioned Runge-Kutta methods with minimal phase-lag

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