| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
In this study, we examined the charge simulation method and the dipole simulation method for potential problems. In the charge simulation method, we approximate the solution by the superposition of fictitious point charges. We obtain the dipole simulation method as an approximation by the superposition of fictitious electric dipoles in stead of point charges. We are especially interested in the positioning of the dipoles and found from numerical experiments that it is good to use the points obtained by a conformal mapping of equally distributed points on a circle.
We also applied these methods to the approximation of complex analytic functions. We find that these approximations achieve good accuracy by theoretical error estimates and numerical experiments.
Besides, as a related research, we studied numerical integration methods based on the hyperfunction theory.
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