2010 Fiscal Year Final Research Report
Numerical Analysis of Inverse Problems using High-Accurate Regularization and Next-Generation Computing Environments
| Project/Area Number |
20740057
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto University |
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Principal Investigator |
FUJIWARA Hiroshi Kyoto University, 大学院・情報学研究科, 助教 (00362583)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 多倍長計算 / 高精度数値計算 / 数値的不安定性 / 非適切問題 / 正則化法 / Laplace逆変換 |
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| Research Abstract |
We have developed a multiple-precision arithmetic environment, and realized a high-accurate numerical computation for numerically unstable problems using the environment. The developed software is distributed via Internet. It is designed for scientific numerical computation. We also give some remarks on floating-point arithmetic and numerical stability.
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