Takayasu Akitoshi

J-GLOBAL         Last updated: Oct 17, 2019 at 02:59
 
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Name
Takayasu Akitoshi
URL
http://www.risk.tsukuba.ac.jp/~takitoshi/
Affiliation
University of Tsukuba
Section
Faculty of Engineering, Information and Systems
Job title
Assistant Professor

Research Areas

 
 

Awards & Honors

 
Oct 2016
JSST 2016 Outstanding Presentation Award
 
Jun 2011
EASIAM 2011 Student Paper Competition 3rd Prize
 

Published Papers

 
Verified partial eigenvalue computations for Hermitian generalized eigenproblems using contour integrals
Imakura, A.;Morikuni, K.;Takayasu, A.
arXiv:1904.06277 [math.NA]   1-13   Apr 2019
Rigorous numerics of blow-up solutions for ODEs with exponential nonlinearity
Mastue, Kaname;Takayasu, Akitoshi
arXiv:1902.01842 [math.NA]      Feb 2019
Takayasu, Akitoshi;Yoon, Suro;Endo, Yasunori
Japan Journal of Industrial and Applied Mathematics   36(2) 357-384   Feb 2019   [Refereed]
This paper provides a methodology of verified computing for solutions to 1D advection equations with variable coefficients. The advection equation is typical partial differential equations (PDEs) of hyperbolic type. There are few results of verifi...
Numerical validation of blow-up solutions with quasi-homogeneous compactifications
Matsue, Kaname;Takayasu, Akitoshi
arXiv:1707.05936 [math.NA]      Jul 2017
Accurate method of verified computing for solutions of semilinear heat equations
Takayasu, Akitoshi;Mizuguchi, Makoto;Kubo, Takayuki;Shin'ichi, Oishi
Reliable computing   25 74-99   Jul 2017   [Refereed]

Books etc

 
精度保証付き数値計算の基礎
高安,亮紀 (Part:Contributor, 非線形方程式の精度保証付き数値解法)
Jul 2018   ISBN:9784339028874

Conference Activities & Talks

 
複素Ginzburg-Landau方程式に対する解の精度保証付き数値計算
高安,亮紀
日本数学会2019年度年会   17 Mar 2019   
チェビシェフ級数を用いた非線形常微分方程式系の精度保証付き数値解法
舩越康太;高安, 亮紀
日本応用数理学会 第15回 研究部会連合発表会   4 Mar 2019   
時間発展方程式の線形化問題に対する解作用素の厳密評価
高安,亮紀
日本応用数理学会 第15回 研究部会連合発表会   4 Mar 2019   
一般化エルミート固有値問題の部分固有値計算における周回積分に基づく精度保証法の改良
今倉, 暁;保國, 惠一;高安, 亮紀
日本応用数理学会 第15回研究部会連合発表会, つくば   4 Mar 2019   
Rigorous spectral methods for initial value problems of ordinary differential equations
高安,亮紀
Numerical Verification (NIVEA) 2019   26 Feb 2019