Development of Fast Numerical Algorithms for Elementary and Special Functions retaining High Reliability, High Accuracy and High Portability
Project/Area Number |
24700015
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Fundamental theory of informatics
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Research Institution | Teikyo Heisei University (2014-2015) Waseda University (2012-2013) |
Principal Investigator |
Yamanaka Naoya 帝京平成大学, 現代ライフ学部, 助教 (90548877)
|
Project Period (FY) |
2012-04-01 – 2016-03-31
|
Project Status |
Completed (Fiscal Year 2015)
|
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)
|
Keywords | 高精度計算 / 誤差解析 / 精度保証付き数値計算 / 数値計算 / 精度保証 |
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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Report
(5 results)
Research Products
(33 results)