Interpolation and Numerical Integration Using Polyharmonic Function

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  • 多重調和関数を用いた補間および数値積分法
  • タジュウ チョウワ カンスウ オ モチイタ ホカン オヨビ スウチ セキブンホ

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This paper presents an interpolation method and a numerical integration by using the boundary integral equation and the polyharmonic function. In the method using B-spline, points must be assigned in a gridiron layout. In the presented method using polyharmonic function, arbitrary points can be assigned instead of a gridiron layout, therefore it becomes easy to interpolate. This method requires a boundary geometry of the region and arbitrary internal points. The value at arbitrary point and the integral value are calculated after solving the discretized boundary integral equation. In order to investigate the efficiency of this method, several examples are given.

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