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波动方程的一类显式辛格式 被引量:22

A CLASS OF EXPLICITLY SYMPLECTIC SCHEMES FOR WAVE EQUATIONS
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摘要 In this paper we consider mainly low order symplectic (or linear symplectic)partitioned Runge-Kutta methods of one kind of Hamiltonian systems for wave equations. Stability conditions for all two-stage explicitly partitioned Runge-Kutta methods with order 2 are disscussed. In addition some methods with low-order are applied to more general wave equations. In this paper we consider mainly low order symplectic (or linear symplectic)partitioned Runge-Kutta methods of one kind of Hamiltonian systems for wave equations. Stability conditions for all two-stage explicitly partitioned Runge-Kutta methods with order 2 are disscussed. In addition some methods with low-order are applied to more general wave equations.
作者 孙耿
出处 《计算数学》 CSCD 北大核心 1997年第1期1-10,共10页 Mathematica Numerica Sinica
基金 国家自然科学基金
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参考文献6

  • 1孙耿,J Comput Math,1995年,13卷,1期,40页
  • 2孙耿,J Comput Math,1993年,11卷,4期,365页
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  • 4秦孟兆,计算数学,1988年,10卷,3期,272页
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