Lab. 3 Takayasu Matsuo

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Takayasu Matsuo(松尾 宇泰)
松尾 宇泰

Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
Professor

7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656
Eng. 6 Bldg. Room 347
Tel: +81-3-5841-6911, ext. 26911
Fax:

E-mail:matsuo@mist.i.u-tokyo.ac.jp

[Home Page]

Curriculum Vitae

Mar. 1995 Graduated from the Master Course of the Department of Applied Physics, Graduate School of Engineering, University of Tokyo
Mar. 1997 Withdrew from the Doctor Course of the Department of Applied Physics, Graduate School of Engineering, University of Tokyo
Apr. 1997 Assistant Professor, Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University
Feb. 2003 Received a Ph.D.(Engineering) from the Graduate School of Engineering, University of Tokyo
Apr. 2004 Lecturer, Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
Aug. 2007 Associate Professor, Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
Jun. 2013 Professor, Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo

Research Themes

Numerical Analysis,in particular, “good” numerical methods for solving differential equations.

There are many differential equations that have important physical properties such as conservation or dissipation. A “good” numerical method for such a equation refers to a numerical method that retain the conservation/dissipation properties in a discrete sense. Such a method is called a structure-preserving numerical method. Compared with a versatile numerical method, the structure-preserving method not only provides a qualitatively correct result but also achieves numerical stability. Currently, I’m engaged mainly in the study of high-order (highly accurate) methods for conservative/dissipative systems.

Selected Publications

Takayasu Matsuo and Daisuke Furihata,
Dissipative or Conservative Finite-Difference Schemes for Complex-Valued Nonlinear Partial Differential Equations,
J. Comput. Phys., 171 (2001), 425-447.

Takayasu Matsuo, Masaaki Sugihara, Daisuke Furihata, and Masatake Mori,
Spatially Accurate Dissipative or Conservative Finite Difference Schemes Derived by the Discrete Variational Method,
Japan J. Indust. Appl. Math., 19 (2002), 311–330.

Takayasu Matsuo,
High-order Schemes for Conservative or Dissipative Systems,
J. Comput. Appl. Math., 152 (2003), 305–317.

Lab. 3 Kengo Nakajima

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Kengo Nakajima (中島 研吾)
中島 研吾

Supercomputing Division, Information Technology Center, University of Tokyo
(concurrent post) Department of Mathematical Informatics, Graduate School of Information Science and Technology
Professor

2-11-16, Yayoi, Bunkyo-ku, Tokyo, 113-8658
Information technology center, Annex 3F, Project room 2
Tel: +81-3-5841-2719, ext. 22719
Fax: +81-3-5841-2708

E-mail:nakajima@cc.u-tokyo.ac.jp

[Home Page]

Curriculum Vitae

Mar. 1985 Graduated from the Department of Aeronautics, School of Engineering, University of Tokyo
Apr. 1985 Mitsubishi Research Institute, Inc.
May. 1993 M.S. in Engineering, Dept. Aerospace Eng. & Eng. Mechanics, The University of Texas at Austin
Jul. 1999 Research Organization of Information Science and Technology (RIST)
Mar. 2003 Ph. D (Engineering) (University of Tokyo)
Apr. 2004 Specially-Appointed Associate Professor, Department of Earth and Planetary Science, Graduate school of Science, University of Tokyo
Apr. 2008 Specially-Appointed Professor, Supercomputing Division, Information Technology Center, University of Tokyo
Dec. 2008 Professor, Supercomputing Division, Information Technology Center, University of Tokyo

Research Themes

Large scale simulation and its foundation.
I aim to develop new algorithms through solution of practical problems in science and engineering.

1. Parallel numerical computation, parallel algorithms
2. Numerical linear algebra, parallel preconditioning
3. Computational dynamics, forms processing, visualization

Selected Publications

Nakajima, K., Parallel Iterative Solvers of GeoFEM with Selective Blocking Preconditioning for Nonlinear Contact Problems on the Earth Simulator, ACM/IEEE Proceedings of SC2003, 2003

Nakajima, K., Parallel iterative solvers for finite-element methods using an OpenMP/MPI hybrid programming model on the Earth Simulator, Parallel Computing 31, 1048-1065, 2005

Nakajima, K., Strategies for Preconditioning Methods of Parallel Iterative Solvers in Finite-Element Applications on Geophysics, Advances in Geocomputing, Lecture Notes in Earth Science 119, 65-118, 2009

奥田洋司,中島研吾編著,並列有限要素解析〔I〕,培風館,2004 (in Japanese)

Lab. 3 Ken’ichiro Tanaka

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Ken’ichiro Tanaka(田中 健一郎)
田中 健一郎

Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
Associate Professor

7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656
Eng. 6 Bldg. Room 342
Tel: +81-3-5841-6439, ext. 26439
Fax:

E-mail:kenichiro@mist.i.u-tokyo.ac.jp

[Home Page]

Curriculum Vitae

Mar. 2002 Graduated from the Department of Mathematical Engineering and Information Physics, School of Engineering, The University of Tokyo
Mar. 2004 Graduated from the Master Course of the Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
Mar. 2007 Graduated from the Doctor Course of the Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo
Apr. 2007 – Mar. 2011 Tokio Marine & Nichido Fire Insurance Co., Ltd.
Apr. 2011 – Mar. 2015 Assistant Professor, School of Systems Information Science, Department of Complex and Intelligent Systems, Future University Hakodate
Apr. 2015 – Mar. 2017 Associate Professor, Department of Mathematical Engineering, Faculty of Engineering, Musashino University
Apr. 2017 – Associate Professor, Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo

Research Themes

Numerical analysis,in particular, theory and application related to function approximation and numerical integration.

Function approximation and numerical integration are bases of various computational methods for problems in mathematical analysis such as differential equations. I have been engaged mainly in design and analysis of accurate approximation formulas for analytic functions by means of complex analytic methods. In particular, I’m interested in analysis and application of formulas (such as the DE formulas and DE-Sinc formulas) derived by the double-exponential (DE) transformations proposed by Takahasi and Mori. Recently, I’m developing general frameworks for designing accurate approximation formulas.

Selected Publications

Ken’ichiro Tanaka, Tomoaki Okayama, and Masaaki Sugihara, Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces, IMA Journal of Numerical Analysis, Volume 37, Issue 2 (2017), pp. 861-904 (doi:10.1093/imanum/drw022).

Ken’ichiro Tanaka, A fast and accurate numerical method for the symmetric Levy processes based on the Fourier transform and sinc-Gauss sampling formula, IMA Journal of Numerical Analysis, Volume 36, Issue 3 (2016), pp. 1362-1388 (doi:10.1093/imanum/drv038).

Ken’ichiro Tanaka and Alexis Akira Toda, Discretizing distributions with exact moments: error estimate and convergence analysis, SIAM Journal on Numerical Analysis, Volume 53, Issue 5 (2015), pp. 2158-2177 (doi:10.1137/140971269).

Sunao Murashige and Ken’ichiro Tanaka, A new method of convergence acceleration of series expansion for analytic functions in the complex domain, Japan Journal of Industrial and Applied Mathematics, Volume 32, Issue 1 (2015), pp. 95-117 (doi: 10.1007/s13160-014-0159-z).

Tomoaki Okayama, Ken’ichiro Tanaka, Takayasu Matsuo, and Masaaki Sugihara, DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods Part I: Definite integration and function approximation, Numerische Mathematik, Volume 125, Issue 3 (2013), pp. 511-543 (doi: 10.1007/s00211-013-0540-x).

Ken’ichiro Tanaka, Masaaki Sugihara, Kazuo Murota, and Masatake Mori, Function classes for double exponential integration formulas, Numerische Mathematik, Volume 111, Issue 4 (2009), pp. 631-655 (doi: 10.1007/s00211-008-0195-1).

Numerical Analysis Laboratory (Mathematical Informatics Lab. 3)

Numerical Analysis Laboratory (Mathematical Informatics Lab. 3) Home Page of Lab. 3 →
松尾 宇泰
Takayasu Matsuo

Professor
中島 研吾
Kengo Nakajima

Professor
田中 健一郎
Ken’ichiro Tanaka

Associate Professor
Numerical Analysis
Many problems in science and engineering cannot be solved without computers. Numerical analysis is a field of study that deals with such problems based on various mathematical facts and a deep insight about the original background of the problems. Study in numerical analysis is concerned with a wide spectrum of topics from fundamental mathematics of computation to various application of numerical methods to problems in science and engineering.

Large Scale Simulation
Numerical simulation is said to be “third science” following theory and experiments. We study mathematical foundations of large scale simulations such as the method for solving linear equations by parallel computers. In the study, we take account of various aspects of a simulation such as physics, modeling, computer hardware, etc.

Numerical Simulation for Problems in Science and Engineering
Based on the theoretical and computational foundations stated above, we study state-of-the-art methods for computer-aided analysis of scientific phenomena such as nonlinear waves, and large data with matrix or tensor form.