| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The purpose of this research is to develop a framework of 4H-Algorithm for some elementary and special functions. Here, the 4H-Algorithm means a fast numerical algorithm retaining high reliability, high accuracy and high portability. In this research, we have proposed algorithms based on error free transformations for real elementary functions. Moreover, we succeeded in developing algorithms for some special functions based on an integration over semi-infinite interval, for example, the modified Bessel function of the second kind.
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