New approximation algorithm for generalized function and its its application to numerical computation

2015 Fiscal Year Final Research Report

• Project/Area Number: 24540122
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kyoto University
• Principal Investigator: Ooura Takuya 京都大学, 数理解析研究所, 助教 (50324710)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: 数値解析 / 超関数 / 連続Euler変換

Outline of Final Research Achievements

We propose new numerical computation methods which are derived from approximation of generalized function. Targets of computation are complicated oscillatory integral, multidimensional oscillatory integral, integral transform and fractional differential equations. New methods can be computed with high speed and high accuracy about oscillatory integrals in particular.

Free Research Field

応用数学