1) pseudo arclength continuation
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拟弧长延拓
1.
We propose the pseudo arclength continuation method and algorithm for the multiple shooting,which can successfully compute the whole solution branch over the singular folds.
讨论含单参数的常微分方程两点边值问题,用局部延拓方法跟踪求出正则的解枝,当解枝上遇到折叠点时,局部延拓方法不再有效,给出了结合多重打靶法的拟弧长延拓方法的具体算法,从而顺利通过了折叠点,计算出了整个解枝。
3) continuation step size
![点击朗读](/dictall/images/read.gif)
延拓步长
4) quasiconformal extension
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拟共形延拓
1.
We also present an explicit quasiconformal extension of this class.
![点击朗读](/dictall/images/read.gif)
根据Schwarz导数与二阶线性微分方程的关系,运用微分方程解的比较定理,研究了单位圆上局部单叶的解析函数在球面度量下的Nehari族及其导数的模偏差性质,得到了这类函数拟共形延拓的具体表达式。
2.
The distortion properties of a class of univalent functions is discussed, and then explicit quasiconformal extensions of this class are obtained.
研究一类单叶函数的偏差性质 ,讨论这类函数的拟共形延拓 ,并给出拟共形延拓的精确表达
5) variable continuation step
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变延拓步长
1.
The use of a new variable continuation step method allows personal computer to fast perform seismic forward modeling using phase-shift interpolation.
通过采用一种新的变延拓步长方法,使得在微机上实现的相移插值法正演模拟有较高的执行效率。
6) fictitious downward continuation
![点击朗读](/dictall/images/read.gif)
虚拟向下延拓
1.
Discrete approach with 15′×15′ grid is adopted in order to numerically simulate and calculate the gravitational potential field generated by the homogeneous rotation-symmetric ellipsoid,and it is verified that the method,the fictitious compress-recovery and the fictitious downward continuation of the gravitational field,is reliable and valuable at the relative accuracy level higher than 10~(-4).
采用15′×15′网格离散化手段对均质旋转对称椭球体产生的引力位场进行了数值模拟计算,在相对精度优于10-4的水平上,验证了引力位虚拟压缩恢复法以及重力场虚拟向下延拓法的可靠性和有效性。
补充资料:长延
1.绵长久远。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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