2009 Fiscal Year Final Research Report
Study of an approximated distribution using the continuous Euler transformation
Project/Area Number |
19560067
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Engineering fundamentals
|
Research Institution | Kyoto University |
Principal Investigator |
OOURA Takuya Kyoto University, 数理解析研究所, 助教 (50324710)
|
Project Period (FY) |
2007 – 2009
|
Keywords | 連続オイラー変換 / 超関数 / 近似 / 数値積分法 |
Research Abstract |
We show that the distributions are easily approximated by continuous functions using the continuous Euler transformation, and the linear map of the approximated distribution is high precision. The approximated distribution can be applied to the computation of numerical indefinite integration, two-dimensional oscillatory integration and a certain differential equation.
|
Research Products
(7 results)