Akiko Fukuda

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Name
Akiko Fukuda
E-mail
afukudashibaura-it.ac.jp
URL
http://www.sic.shibaura-it.ac.jp/~afukuda/publication.html
Affiliation
Shibaura Institute of Technology
Section
College of Systems Engineering and Science Department of Mathematical Sciences
Degree
Dr. Sci.(Tokyo University of Science)
Research funding number
70609297

Research Areas

 
 

Academic & Professional Experience

 
Apr 2014
 - 
Mar 2017
Assistant Professor, Department of Mathematical Sciences, College of Systems Engineering and Science, Shibaura Institute of Technology
 
Apr 2014
 - 
Mar 2015
Visiting Researcher, Research Institute for Science & Technology, Tokyo University of Science
 
Apr 2011
 - 
Mar 2014
Assistant Professor, Department of Mathematical Information Science, Tokyo University of Science
 

Awards & Honors

 
Sep 2018
Best Poster Award, The Japan Society for Industrial and Applied Mathematics
 

Published Papers

 
Sennosuke Watanabe, Akiko Fukuda, Hitomi Shigitani, Masashi Iwasaki
Journal of Physics A: Mathematical and Theoretical   51(44)    Sep 2018   [Refereed]
You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura
Journal of Physics A: Mathematical and Theoretical   51(34)    Jul 2018   [Refereed]
© 2018 IOP Publishing Ltd. In this paper, we clarify the periodic behaviour in the discrete hungry Toda (dhToda) equation, which is an extension of the famous integrable discrete Toda equation. The centre manifold theory, which is a classical anal...
Akihiko Tobita, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
Lecture Notes in Computational Science and Engineering   117 157-169   Jan 2017   [Refereed]
© Springer International Publishing AG 2017. The Lotka-Volterra (LV) system describes a simple predator-prey model in mathematical biology. The hungry Lotka-Volterra (hLV) system assumed that each predator preys on two or more species is an extens...
Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata
Lecture Notes in Computational Science and Engineering   117 143-155   Jan 2017   [Refereed]
© Springer International Publishing AG 2017. For a specially structured nonsymmetric banded matrix, which is related to a discrete integrable system, we propose a novel method to compute all the eigenvectors. We show that the eigenvector entries a...
Shinjo Masato, Iwasaki Masashi, Fukuda Akiko, Ishiwata Emiko, Yamamoto Yusaku, Nakamura Yoshimasa
COGENT MATHEMATICS   2(1)    Jun 2015   [Refereed]
Ryo Sumikura, Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
AIP Conference Proceedings   1648    Jan 2015   [Refereed]
© 2015 AIP Publishing LLC.The integrable discrete hungry Toda (dhToda) equation has already been applied to design an eigenvalue algorithm which computes eigenvalues of totally nonnegative (TN) matrices with lower Hessenberg form. In this paper, a...
Sonomi Kakizaki, Akiko Fukuda, Yusaku Yamamoto, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
Discrete and Continuous Dynamical Systems - Series S   8(5) 889-899   Jan 2015   [Refereed]
In this paper, conserved quantities of the discrete hungry Lotka- Volterra (dhLV) system are derived. Our approach is based on the Lax representation of the dhLV system, which expresses the time evolution of the dhLV system as a similarity transfo...
Takahiko Yamamoto, Kohji Koshiji, Akiko Fukuda
Physiological Measurement   34(9) 1179-1191   Sep 2013   [Refereed]
The electromagnetic compatibility of implantable or wearable medical devices has often been evaluated using human phantoms to electrically mimic biological tissues. However, no currently existing test fixture can measure the electrical characteris...
FUKUDA AKIKO, IWASAKI MASASHI, YAMAMOTO YUSAKU, ISHIWATA EMIKO, NAKAMURA YOSHIMASA
日本応用数理学会論文誌   23(1) 109-181   Mar 2013
Yamamoto T, Sano K, Koshiji K, Chen X, Yang S, Abe M, Fukuda A.
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS   1887-1890   2013   [Refereed]
Akiko Fukuda,Yusaku Yamamoto,Masashi Iwasaki,Emiko Ishiwata,Yoshimasa Nakamura
Numerical Algorithms   61(2) 243-260   Oct 2012   [Refereed]
On some properties of a discrete hungry Lotka-Volterra system of multiplicative type
Yosuke Hama, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
Journal of Math-for-Industry      Apr 2012   [Refereed]
Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
MONATSHEFTE FUR MATHEMATIK   170(1) 11-26   Apr 2012   [Refereed]
The discrete hungry Toda (dhToda) equation is known as an integrable system which is derived from the study of the numbered box and ball system. In the authors' paper (Fukuda et al., in Phys Lett A 375, 303-308, 2010), we associate the dhToda equa...
Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
ANNALI DI MATEMATICA PURA ED APPLICATA   192(3) 423-445   2012   [Refereed]
Recently, some of the authors designed an algorithm, named the dhLV algorithm, for computing complex eigenvalues of a certain class of band matrix. The recursion formula of the dhLV algorithm is based on the discrete hungry Lotka-Volterra (dhLV) s...
You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura
APPLICABLE ANALYSIS   92(3) 586-594   2012   [Refereed]
The integrable discrete hungry Lotka-Volterra (dhLV) system is easily transformed to the qd-type dhLV system, which resembles the recursion formula of the qd algorithm for computing matrix eigenvalues. Some of the qd-type dhLV variables play a rol...
A note on eigenvalue computation for a tridiagonal matrix with real eigenvalues
Akiko Fukuda
Journal of Math-for-Industry   3 47-52   Apr 2011   [Refereed]
Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
Physics Letters A   375(3) 303-308   Jan 2011   [Refereed]
The discrete hungry Toda (dhToda) equation and the discrete hungry Lotka-Volterra (dhLV) system are known as integrable discrete hungry systems. In this Letter, through finding the LR transformations associated with the dhToda equation and the dhL...
Yusaku Yamamoto, Akiko Fukuda, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010 Vol. III, editted by T. E. Simos, G. Psihoyios, and Ch. Tsitouras   1281 2045-2048   Sep 2010   [Refereed]
In the study of dynamical systems, it is often useful to find a variable transformation that maps the solution of one system to another system. Such transformation, known as the Bäcklund transformation, enables us to translate the knowledge on one...
FUKUDA Akiko, ISHIWATA Emiko, IWASAKI Masashi, NAKAMURA Yoshimasa
RIMS Kokyuroku Bessatsu   13 1-17   Oct 2009
Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
Inverse problems   25(1) 1-17   Feb 2009   [Refereed]
The discrete hungry Lotka-Volterra (dhLV) system is a generalization of the discrete Lotka-Volterra (dLV) system which stands for a prey-predator model in mathematical biology. In this paper, we show that (1) some invariants exist which are expres...
Discrete hungry integrable systems related to matrix eigenvalue and their local analysis by center manifold theory
Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
RIMS Kokyuroku Bassatsu   B13 1-17   2009   [Refereed][Invited]
Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
JSIAM Letters   1(0) 36-39   2009   [Refereed]
Fukuda Akiko, Ishiwata Emiko, Iwasaki Masashi, Nakamura Yoshimasa
Transactions of the Japan Society for Industrial and Applied Mathematics   18(3) 409-425   Sep 2008
The discrete hungry Lotka-Volterra (dhLV) system is a generalization of the discrete Lotka-Volterra (dLV) system which stands for a prey-predator model in mathematical biology. In this paper, we show an existence of some invariants, which are inde...

Misc

 
福田亜希子, 渡邉扇之介
日本応用数理学会年会講演予稿集(CD-ROM)   2018 ROMBUNNO.POSUTA9   Sep 2018
渡邉扇之介, 福田亜希子, 鴫谷瞳, 岩崎雅史
日本応用数理学会年会講演予稿集(CD-ROM)   2017 369‐370   Sep 2017
福田亜希子
芝浦工業大学特別教育・研究報告集(CD-ROM)   2015 256‐259   Sep 2016
竹内弘史, 相原研輔, 福田亜希子, 石渡恵美子
日本応用数理学会年会講演予稿集(CD-ROM)   2015 ROMBUNNO.9GATSU9NICHI,11:00,E,2   Sep 2015
福田亜希子
芝浦工業大学特別教育・研究報告集(CD-ROM)   2014 92-95   Jun 2015
福田亜希子, 山本有作, 岩崎雅史, 石渡恵美子, 中村佳正
日本応用数理学会年会講演予稿集(CD-ROM)   2014 ROMBUNNO.9GATSU4NICHI,09:30,C,2   Aug 2014
Fukuda Akiko, Yamamoto Yusaku, Iwasaki Masashi, Ishiwata Emiko, Nakamura Yoshimasa
RIMS Kokyuroku   1791(0) 1-10   Apr 2012
Fukuda Akiko, Aihara Kensuke
応用数理   22(2) 154-155   Jun 2012
YAMAMOTO Takahiko, SANO Koki, KOSHIJI Kohji, CHEN Xiuqin, YANO Shaoming, ABE Masahiko, FUKUDA Akiko
Journal of the Japan Society of Applied Electromagnetics and Mechanics   21(2) 146-151   Jun 2013
Phantoms that mimic the electrical properties of the human body are widely used for the safety assessment of medical equipment, etc.Although a high hydrous gel phantom is useful in the high-frequency band, there is no phantom that can mimic the li...
Fukuda Akiko, Iwasaki Masashi, Yamamoto Yusaku, Ishiwata Emiko, Nakamura Yoshimasa
Transactions of the Japan Society for Industrial and Applied Mathematics   23(1) 109-181   2013
Some numerical algorithms for computing eigenvalues of nonsymmetric matrix with high accuracy have been recently designed based on the discrete hungry Toda equation and the discrete Lotka-Volterra system which are known as the discrete integrable ...
福田 亜希子, 相原 研輔
応用数理   22(2) 154-155   Jun 2012
飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
日本応用数理学会年会講演予稿集(CD-ROM)   2012 67-68   2012
濱洋輔, 福田亜希子, 石渡恵美子, 岩崎雅史, 山本有作, 中村佳正
日本応用数理学会年会講演予稿集   2011 69-70   2011
高橋悠, 岩崎雅史, 福田亜希子, 石渡恵美子, 中村佳正
日本応用数理学会年会講演予稿集   2011 71-72   2011
濱洋輔, 福田亜希子, 石渡恵美子, 岩崎雅史, 山本有作, 中村佳正
日本応用数理学会年会講演予稿集   2010 167-168   Sep 2010
福田亜希子, 山本有作, 岩崎雅史, 石渡恵美子, 中村佳正
日本応用数理学会年会講演予稿集   2010 165-166   Sep 2010
福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
日本応用数理学会年会講演予稿集   2009 235-236   Sep 2009
福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
日本応用数理学会年会講演予稿集   2009 179-180   Sep 2009
福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
日本応用数理学会論文誌   18(3) 409-425   Sep 2008
福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
日本応用数理学会年会講演予稿集   2008 211-212   Sep 2008

Conference Activities & Talks

 
Ultra-discrete analogue of the qd algorithm for min-plus tridiagonal matrix
Akiko Fukuda
Akiko Fukuda, Sennosuke Watanabe, Hitomi Shigitani, Masashi Iwasaki   4 May 2018   
Integrable eigenvalue algorithms for totally nonnegative matrices [Invited]
Akiko Fukuda
International Conference on Matrix Analysis and its Applications   25 Sep 2017   
Discrete integrable systems related to eigenvalue algorithms
Akiko Fukuda
The 1st UOG-SIT Research Workshop in Mathematics and Computer Science in Guam   24 Feb 2017   
Extensions of the qd algorithm for totally nonnegative matrices
Akiko Fukuda, Hiroshi Takeuchi, Kensuke Aihara and Emiko Ishiwata
20th Conference of the International Linear Algebra Society (ILAS2016)   11 Jul 2016   
Eigenvalue Solvers in Terms of the Discrete Integrable Systems
Akiko Fukuda
The First Shibaura Workshop on Mathematics, Systems and Control (SWMSC2015)   11 Dec 2015   
Computation of All the Eigenpairs for a Particular Kind of Banded Matrix
Hiroshi Takeuchi, Kensuke Aihara, *Akiko Fukuda, and Emiko Ishiwata
SIAM Conference on Applied Linear Algebra (SIAM LA15)   26 Oct 2015   
On eigenvectors of structured nonsymmetric matrices related to the integrable discrete systems of hungry type
Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, and Emiko Ishiwata
International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing   14 Sep 2015   
竹内弘史, 相原研輔, 福田亜希子, 石渡恵美子
日本応用数理学会年会講演予稿集(CD-ROM)   2 Sep 2015   
Computation of eigenpairs based on the discrete integrable systems of hungry type [Invited]
Akiko Fukuda
Computational and Geometric Approaches for Nonlinear Phenomena   5 Aug 2015   
An extension of the box and ball system in terms of the discrete hungry integrable system
*Akiko Fukuda, Sonomi, Kakizaki, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, and Yoshimasa Nakamura
2nd Slovak-Japan Conference on Applied Mathematics 2014   14 Sep 2014   
FUKUDA AKIKO, YAMAMOTO YUSAKU, IWASAKI MASASHI, ISHIWATARI EMIKO, NAKAMURA YOSHIMASA
日本応用数理学会年会講演予稿集(CD-ROM)   27 Aug 2014   
An Extension of the dqds Algorithm for Totally Nonnegative Matrices and Its Convergence Rate
*Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, and Yoshimasa Nakamura
East Asia Section of SIAM (EASIAM) 2014   23 Jun 2014   
An extension of the qd algorithm for totally nonnegative Hessenberg matrices
*Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, and Yoshimasa Nakamura
International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014)   9 Mar 2014   
T. Yamamoto, K. Sano, K. Koshiji, X. Chen, S. Yang, M. Abe, A. Fukuda
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS   31 Oct 2013   
This paper describes the development of a human electrical phantom at a low-frequency band. The conventional highly hydrous electromagnetic phantom does not mimic the electrical properties of a living body. The electrical properties of the newly d...
Conserved quantities of the integrable discrete hungry Lotka-Volterra system
Akiko Fukuda
Czech-Japanese Seminar in Applied Mathematics 2013 (CJS2013)   5 Sep 2013   
Development of electromagnetic phantom at low-frequency band
*Takahiko YAMAMOTO, Koki SANO, Kohji KOSHIJI, Xiuqin CHEN, Shaoming YANG, Masahiko ABE and Akiko Fukuda
The 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC'13)   3 Jul 2013   
An extension of the dqds algorithm for totally nonnegative matrices and the Newton shift
*Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, and Yoshimasa Nakamura
The 18th Conference of the International Linear Algebra Society (ILAS2013)   13 Jun 2013   
YAMAMOTO Takahiko, SANO Koki, KOSHIJI Kohji, CHEN Xiuqin, YANO Shaoming, ABE Masahiko, FUKUDA Akiko
Journal of the Japan Society of Applied Electromagnetics and Mechanics   10 Jun 2013   
Phantoms that mimic the electrical properties of the human body are widely used for the safety assessment of medical equipment, etc.Although a high hydrous gel phantom is useful in the high-frequency band, there is no phantom that can mimic the li...
A generalization of the dqds algorithm for totally nonnegative matrices
Akiko Fukuda, Yusaku Yamamoto, Emiko Ishiwata, Masashi Iwasaki and Yoshimasa Nakamura
The 8th East Asia SIAM Conference (EASIAM 2012)   26 Jul 2012   
Integrable discrete hungry systems and their related eigenvalue algorithms
Yoshimasa Nakamura, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata
International Conference on Symmetries and Integrability of Difference Equations (SIDE 10)   15 Jul 2012   
Accurate eigenvalues of totally nonnegative matrices by means of the discrete hungry Toda equation
*Akiko Fukuda, Yusaku Yamamoto, Emiko Ishiwata, Masashi Iwasaki and Yoshimasa Nakamura
9th International Workshop on Accurate Solution of Eigenvalue Problems (IWASEP9)   5 Jul 2012   
飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
日本応用数理学会年会講演予稿集   2012   
An application of the integrable discrete hungry Toda equation to the eigenvalue computation
*Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
International Conference on Scientific Computing (SC2011)   10 Oct 2011   
The eigenvalue algorithm in terms of the integrable discrete hungry Toda equation
*Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
7th International Congress on Industrial and Applied Mathematics (ICIAM2011)   20 Jul 2011   
濱洋輔, 福田亜希子, 石渡恵美子, 岩崎雅史, 山本有作, 中村佳正
日本応用数理学会年会講演予稿集   2011   
高橋悠, 岩崎雅史, 福田亜希子, 石渡恵美子, 中村佳正
日本応用数理学会年会講演予稿集   2011   
HAMA YOSUKE, FUKUDA AKIKO, ISHIWATA EMIKO, IWASAKI MASASHI, YAMAMOTO YUSAKU, NAKAMURA YOSHIMASA
日本応用数理学会年会講演予稿集   Sep 2010   
FUKUDA AKIKO, YAMAMOTO YUSAKU, IWASAKI MASASHI, ISHIWATA EMIKO, NAKAMURA YOSHIMASA
日本応用数理学会年会講演予稿集   Sep 2010   
FUKUDA AKIKO, ISHIWATA EMIKO, YAMAMOTO YUSAKU, IWASAKI MASASHI, NAKAMURA YOSHIMASA
日本応用数理学会年会講演予稿集   28 Sep 2009   
FUKUDA AKIKO, ISHIWATA EMIKO, YAMAMOTO YUSAKU, IWASAKI MASASHI, NAKAMURA YOSHIMASA
日本応用数理学会年会講演予稿集   28 Sep 2009   
Discrete hungry integrable systems and new algorithms for computing matrix eigenvalues
Akiko Fukuda
Numerical mathematics colloquium Utrecht   20 Nov 2008   
An algorithm for computing eigenvalues by the discrete hungry Lotka-Volterra system
Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
International Kyoto-Forum on Krylov Subspace method   12 Sep 2008   
FUKUDA AKIKO, ISHIWATARI EMIKO, IWASAKI MASASHI, NAKAMURA YOSHIMASA
日本応用数理学会年会講演予稿集   Sep 2008