Accurate evaluation of divided differences for polynomial interpolation of exponential propagators
Accurate evaluation of divided differences for polynomial interpolation of exponential propagators
复制标题
指数传播器多项式插值除差的准确评估
DOI：
10.1007/s00607-007-0227-1
复制
发表时间：
2007
期刊：
影响因子：
3.7
通讯作者：
M. Caliari
中科院分区：
文献类型：
--
作者：
M. Caliari
在本文中，我们提出了一种计算更准确的除差的方法，用于矩阵指数传播器 φ(hA)v 的牛顿形式插值， φ (z) = (ez − 1)/z。通过这种方式，可以用比传统计算的除差更大的时间步长 h 来近似 φ (hA)v，正如数值示例所证实的那样。该技术还可以扩展到“更高”阶 φk 函数，k≥0。
In this paper, we propose an approach to the computation of more accurate divided differences for the interpolation in the Newton form of the matrix exponential propagator φ(hA)v, φ (z) = (ez − 1)/z. In this way, it is possible to approximate φ (hA)v with larger time step size h than with traditionally computed divided differences, as confirmed by numerical examples. The technique can be also extended to “higher” order φk functions, k≥0.