A development of high performance method for the computation of radiation fields for all the space frequcencies
Project/Area Number |
24656073
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Research Category |
Grant-in-Aid for Challenging Exploratory Research
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Allocation Type | Multi-year Fund |
Research Field |
Engineering fundamentals
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Research Institution | Fukuoka Institute of Technology |
Principal Investigator |
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Project Period (FY) |
2012-04-01 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 放射波動場計算 / 多倍長演算 / Gauss-Laguerreの数値積分公式 / ANSI/IEEE Std 754-2008 / Laguerre多項式 / 2のn乗倍精度浮動小数点演算 / 高速多重極アルゴリズム |
Outline of Final Research Achievements |
We have developed a 1 (single), 2 (double), 4 (quadruple), 8, 16, 32, 64 precision floating-point arithmetic library. This library is based on the ANSI / IEEE Std 754-2008 and used for the computation both for real and complex numbers. We succeeded in obtaining highly accurate zeros of the Laguerre polynomial and the Hermit polynomials over 200 orders by using the library. A numerical error estimation is done for the Gauss-Laguerre quadrature. We confirmed that the numerical error is qualitatively agreement with the theoretical one. It is, several weeks are necessary to obtain one computational result. Then we have to develop fast technique as future works.
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Report
(4 results)
Research Products
(3 results)