计算再生核的卷积方法

The Convolutional Method for Computing Reproducing Kernels

本文利用卷积及H^1(R)的再生核给出了一种计算H^n(R)空间再生核的新方法.并用此再生核建立求解n阶常微分方程的数值方法.

In this paper, a new method for computing the reproducing kernels of Hn(R)(n ∈ N,n≠ 1) is presented. The method is based on the use of the reproducing kernel of H1(R) and the convolution operator. And the numerical method which can solve n-stage differential equations is presented by this reproducing kernel.