The use of the asymptotic expansion to speed up the computation of a series of spherical harmonics.
The use of the asymptotic expansion to speed up the computation of a series of spherical harmonics.
复制标题
使用渐近展开来加速一系列球谐函数的计算。
DOI：
--
复制
发表时间：
1991
期刊：
影响因子：
--
通讯作者：
M. J. Peters
中科院分区：
文献类型：
--
作者：
J. D. de Munck;M. Hämäläinen;M. J. Peters
当一个函数表示为一个无穷级数的球谐函数时，通过减去它的渐近展开式并以解析闭合的形式加上它，可以加速收敛。在本文中，该技术被应用于两种生物物理情况：球对称体导体中的电势分布和生物磁测量的协方差矩阵。
When a function is expressed as an infinite series of spherical harmonics the convergence can be accelerated by subtracting its asymptotic expansion and adding it in analytically closed form. In the present article this technique is applied to two biophysical cases: to the potential distribution in a spherically symmetric volume conductor and to the covariance matrix of biomagnetic measurements.