方程=f(x)十字架格式 |
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引用本文: | 秦孟兆. 方程=f(x)十字架格式[J]. 计算数学, 1991, 13(1): 67-75 |
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作者姓名: | 秦孟兆 |
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作者单位: | 中国科学院计算中心 |
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摘 要: | 描述了单个含有单位质量的质点在保守力f(x)作用下一维运动的位移.这个系统的主要特点是能量守恒:
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关 键 词: | 二阶微分方程 十字架格式 稳定性 |
CROSS-SCHEMES FOR EQUATION =f(x) |
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Affiliation: | Qin Meng-zhao Computing Center, Academia Sinica |
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Abstract: | In this paper we consider cross-schemes for Hamiltonian equation of second order. Th-ese schemes are symplectic. Applies these schemes to wave equation, and obtain cross-schemeswith high order accuracy. Its stability condition are discusses. Some schemes are stable evenwhen the courant number exceeds 1. |
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