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Issue:
Lie series algorithms and Runge-Kutta algorithms
Author(s):
XING Yu-feng
,
FENG Wei
Pages:
519
-
522
Year:
2007
Issue:
5
Journal:
JOURNAL OF VIBRATION ENGINEERING
Keyword:
李级数法
;
Runge-Kutta法
;
Taylor级数法
;
Abstract:
对线性自治系统证明了二阶、四阶李级数法分别与Runge-Kutta法中二级二阶改进Euler法和四级四阶经典R-K法的一致性;说明了李级数法和Taylor级数法的一致性,但两者计算导数的方法不同,导致不同的应用价值.分析了李级数法在求解非线性问题时的优越性.
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