摘要
《大衍历》日躔表是一份四次差分相等的数表,反映一行对太阳运动复杂性的深刻认识。一行调整插值引数为不等间距型,并认为具有降阶作用,因而能够采用二次函数完成四次差分表的插值计算。但一行对插值间距只利用差分方程作了第一次逼近,没有进行迭代计算,从而影响了计算精度。
The solar equation table of the Dayan Calendar is a mathematical table of equally quartic difference, and it reflects Yi Xing’s profound understanding about the solar motion. Yi Xing adjusts the spacing of interpolation to unequal spacing and considers that it serves a reduced-order function, so he can use the quadratic function to achieve the calculations of the quartic interpolation table. But Yi Xing only adopts the difference equation to approach an approximate computation and fails to complete the seco...
出处
《自然科学史研究》
CSCD
北大核心
2008年第1期28-38,共11页
Studies in The History of Natural Sciences
关键词
《大衍历》
日躔表
差分方程
迭代法
Dayan Calendar
solar equation table
difference equation
iterative method
