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非完整系统Boltzmann-Hamel方程的Birkhoff化及其广义辛算法

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解加芳, 庞硕, 邹杰涛, 李国富. 2012: 非完整系统Boltzmann-Hamel方程的Birkhoff化及其广义辛算法, 物理学报, 61(23): 1-5.
引用本文: 解加芳, 庞硕, 邹杰涛, 李国富. 2012: 非完整系统Boltzmann-Hamel方程的Birkhoff化及其广义辛算法, 物理学报, 61(23): 1-5.
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2012: The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm, Acta Physica Sinica, 61(23): 1-5.
Citation: 2012: The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm, Acta Physica Sinica, 61(23): 1-5.
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非完整系统Boltzmann-Hamel方程的Birkhoff化及其广义辛算法

  • 北方工业大学理学院,北京,100144

The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm

  • 摘要: 针对非完整系统的Boltzmann-Hamel方程，当其满足一定条件时，可以进行广义Birkhoff化．构造生成函数，利用当前比较优越的非自治Birkhoff广义辛算法对其进行数值仿真．仿真结果和传统的Runge—Kutta算法结果相比较，非自治Birkhoff广义辛算法在长期跟踪后更加准确．
    Abstract: For a Boltzmann-Hamel equation of nonholonomic mechanical system, when it meets certain conditions, the Boltzmann-Hamel equation can be transformed into a Birkhoffian system. By constructing the generating function, the system is investigated numerically using the generalized symplectic geometric algorithm of the nonautonomous Birkhoffian system. Compared with the above-mentioned algorithm with the classical Runge-Kutta method, Birkhoffian symplectic scheme is very accurate in a long-term tracing.
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  • 刊出日期:  2012-12-15

非完整系统Boltzmann-Hamel方程的Birkhoff化及其广义辛算法

  • 北方工业大学理学院,北京,100144

摘要: 针对非完整系统的Boltzmann-Hamel方程，当其满足一定条件时，可以进行广义Birkhoff化．构造生成函数，利用当前比较优越的非自治Birkhoff广义辛算法对其进行数值仿真．仿真结果和传统的Runge—Kutta算法结果相比较，非自治Birkhoff广义辛算法在长期跟踪后更加准确．

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