Ken'ichiro Tanaka (田中 健一郎)

Department of Mathematical and Computing Science,
School of Computing,
Institute of Science Tokyo (former Tokyo Institute of Technology)
2-12-1 Ookayama, Meguro-ku, Tokyo 152-8550 Japan
E-mail: kenichiro _at_ comp.isct.ac.jp (Replace _at_ with @.)

Welcome to Ken'ichiro Tanaka's home page. I am a professor at Institute of Science Tokyo.

Research

My research interest is in numerical analysis and computational methods in science and engineering.

• Function approximation, numerical integration, and their application to equations
    ◦ Double-exponential (DE) Sinc methods
    ◦ Kernel quadrature / interpolation
• Mathematical optimization
    ◦ Conditional gradient methods (for sampling)
    ◦ Gradient descent methods (for sampling)
• Numerical methods for economics and finance
• Numerical computation with guaranteed accuracy

Please see my research and publication list for more details.

My external pages:

• Google Scholar
• ResearchGate
• ORCID (0000-0003-0359-0969)
• researchmap
• GitHub

News

[Dec. 11, 2025] A new preprint "Computer-Assisted Search for Differential Equations Corresponding to Optimization Methods and Their Convergence Rates" (arXiv webpage) has been released. This preprint was written in collaboration with my master's student Atsushi Tabei.
  In this preprint, we propose a brute-force approach using symbolic computation by computer algebra systems to find useful functions (called "Lyapunov functions") revealing convergence rates of dynamical systems.

[Dec. 5, 2025] I started a new undergraduate course "Numerical Analysis" in the fourth quarter, which began from December.

[Nov. 18, 2025] I gave a talk "Computer-Aided Search for Differential Equations Corresponding to Optimization Methods and Their Convergence Rates" (in Japanese) at Research Meeting for Mathematics and Informatics held in Kumamoto. This talk is based on a joint research with Atsushi Tabei, one of my master's student at the University of Tokyo.

[Sep. 3, 2025] I received an award for an excellent paper in Transactions of the JSIAM section in 2025, which was awarded by Japan Society for Industrial and Applied Mathematics. This is an award for the paper "Precise Approximation Formula for Fourier Transform of Functions with Exponential Decay for the Whole Frequency (指数減衰する関数に対する全周波数領域におけるフーリエ変換の高精度な近似公式)", written in collaboration with Naoya Takakura, my former master's student. [Certificate of commendation]

[Aug. 20, 2025] I wrote a book review (in Japanese) of my colleagues' recent (Japanese) publication, “Focused Explanation of Monte Carlo Methods and Quasi-Monte Carlo Methods” in the September 2025 issue of the magazine “Mathematical Science”.

[Jul. 19, 2025] A new paper "Computation of the exponential function of matrices by a formula without oscillatory integrals on infinite intervals" (webpage) has been published in Japan Journal of Industrial and Applied Mathematics. This paper was written in collaboration with my former master's student Masato Suzuki.

[Jun. 17, 2025] From June 16 to 17, I visited Kyoto University to participate in Research Meeting for Mathematics and Informatics.

[Jan. 24, 2025] My information has been posted on my department's web pages. Japanese page (た行)   English page (P-T)

Past News

News 2020-2024
News 2015-2019
News 2010-2014