# zbMATH — the first resource for mathematics

## Kimura, Kinji

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 Author ID: kimura.kinji Published as: Kimura, K.; Kimura, Kinji
 Documents Indexed: 29 Publications since 1932
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#### Co-Authors

 1 single-authored 4 Hirota, Ryogo 4 Nakamura, Yoshimasa 3 Asakura, Junko 3 Ikegami, Tsutomu 3 Sakurai, Tetsuya 3 Tadano, Hiroto 3 Yamashita, Takumi 2 Takata, Masami 2 Yahagi, Hideyuki 2 Yamamoto, Yusaku 1 Araki, Sho 1 Grammaticos, Basil 1 Kajiwara, Kenji 1 Ohta, Yasuhiro 1 Ramani, Alfred 1 Takahashi, Daisuke A. 1 Toyokawa, Hiroki 1 Yoshida, Hiroshi
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#### Serials

 4 JSIAM Letters 2 Journal of Physics A: Mathematical and General 2 Journal of the Physical Society of Japan 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 RIMS Kokyuroku 1 Journal of Nonlinear Mathematical Physics 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Math-for-Industry
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#### Fields

 7 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 Partial differential equations (35-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

18 Publications have been cited 154 times in 123 Documents Cited by Year
A numerical method for nonlinear eigenvalue problems using contour integrals. Zbl 1278.65072
Asakura, Junko; Sakurai, Tetsuya; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji
2009
How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010
Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki
2001
Discretization of the Euler top. Zbl 1058.70504
Hirota, Ryogo; Kimura, Kinji
2000
A numerical method for polynomial eigenvalue problems using contour integral. Zbl 1204.65056
Asakura, Junko; Sakurai, Tetsuya; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji
2010
Discretization of the Lagrange top. Zbl 1058.70506
Kimura, Kinji; Hirota, Ryogo
2000
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
2002
On a $$q$$-difference Painlevé III equation. I: Derivation, symmetry and Riccati type solutions. Zbl 1028.39006
Kajiwara, Kenji; Kimura, Kinji
2003
Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling. Zbl 1087.74608
Takano, N.; Zako, M.; Kubo, F.; Kimura, K.
2003
Analyses of isotropic piezoelectric materials with multilayered elliptical inclusion under out-of-plane shear loadings. Zbl 1078.74009
Suzuki, T.; Sasaki, T.; Hirashima, K.; Kimura, K.
2005
Calculation of the non-stationary mean square response of a non-linear system subjected to non-white excitation. Zbl 0445.73076
Sakata, M.; Kimura, K.
1980
The use of moment equations for calculating the mean square response of a linear system to nonstationary random excitation. Zbl 0451.93067
Sakata, M.; Kimura, K.
1979
A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix. Zbl 1329.65079
Yamashita, Takumi; Kimura, Kinji; Yamamoto, Yusaku
2015
An application of the Kato-temple inequality on matrix eigenvalues to the dqds algorithm for singular values. Zbl 1416.65099
Yamashita, Takumi; Kimura, Kinji; Takata, Masami; Nakamura, Yoshimasa
2013
Subtraction-free recurrence relations for lower bounds of the minimal singular value of an upper bidiagonal matrix. Zbl 1302.15012
Yamashita, Takumi; Kimura, Kinji; Nakamura, Yoshimasa
2012
Conserved quantities of the discrete finite Toda equation and lower bounds of the minimal singular value of upper bidiagonal matrices. Zbl 1223.37068
Kimura, K.; Yamashita, T.; Nakamura, Y.
2011
A method for finding zeros of polynomial equations using a contour integral based eigensolver. Zbl 1356.65126
Sakurai, Tetsuya; Asakura, Junko; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji
2009
Vibration analysis of a high speed and light weight rotor system subjected to a pitching or turning motion. I: A rigid rotor system on flexible suspensions. Zbl 1055.74534
Sakata, M.; Kimura, K.; Okamoto, S.; Oikawa, K.
1995
Non-stationary responses of a non-symmetric nonlinear system subjected to a wide class of random excitation. Zbl 0483.70020
Kimura, K.; Sakata, M.
1981
A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix. Zbl 1329.65079
Yamashita, Takumi; Kimura, Kinji; Yamamoto, Yusaku
2015
An application of the Kato-temple inequality on matrix eigenvalues to the dqds algorithm for singular values. Zbl 1416.65099
Yamashita, Takumi; Kimura, Kinji; Takata, Masami; Nakamura, Yoshimasa
2013
Subtraction-free recurrence relations for lower bounds of the minimal singular value of an upper bidiagonal matrix. Zbl 1302.15012
Yamashita, Takumi; Kimura, Kinji; Nakamura, Yoshimasa
2012
Conserved quantities of the discrete finite Toda equation and lower bounds of the minimal singular value of upper bidiagonal matrices. Zbl 1223.37068
Kimura, K.; Yamashita, T.; Nakamura, Y.
2011
A numerical method for polynomial eigenvalue problems using contour integral. Zbl 1204.65056
Asakura, Junko; Sakurai, Tetsuya; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji
2010
A numerical method for nonlinear eigenvalue problems using contour integrals. Zbl 1278.65072
Asakura, Junko; Sakurai, Tetsuya; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji
2009
A method for finding zeros of polynomial equations using a contour integral based eigensolver. Zbl 1356.65126
Sakurai, Tetsuya; Asakura, Junko; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji
2009
Analyses of isotropic piezoelectric materials with multilayered elliptical inclusion under out-of-plane shear loadings. Zbl 1078.74009
Suzuki, T.; Sasaki, T.; Hirashima, K.; Kimura, K.
2005
On a $$q$$-difference Painlevé III equation. I: Derivation, symmetry and Riccati type solutions. Zbl 1028.39006
Kajiwara, Kenji; Kimura, Kinji
2003
Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling. Zbl 1087.74608
Takano, N.; Zako, M.; Kubo, F.; Kimura, K.
2003
A new class of integrable discrete systems. Zbl 1042.37012
Kimura, K.; Yahagi, H.; Hirota, R.; Ramani, A.; Grammaticos, B.; Ohta, Y.
2002
How to find the conserved quantities of nonlinear discrete equations. Zbl 0998.39010
Hirota, Ryogo; Kimura, Kinji; Yahagi, Hideyuki
2001
Discretization of the Euler top. Zbl 1058.70504
Hirota, Ryogo; Kimura, Kinji
2000
Discretization of the Lagrange top. Zbl 1058.70506
Kimura, Kinji; Hirota, Ryogo
2000
Vibration analysis of a high speed and light weight rotor system subjected to a pitching or turning motion. I: A rigid rotor system on flexible suspensions. Zbl 1055.74534
Sakata, M.; Kimura, K.; Okamoto, S.; Oikawa, K.
1995
Non-stationary responses of a non-symmetric nonlinear system subjected to a wide class of random excitation. Zbl 0483.70020
Kimura, K.; Sakata, M.
1981
Calculation of the non-stationary mean square response of a non-linear system subjected to non-white excitation. Zbl 0445.73076
Sakata, M.; Kimura, K.
1980
The use of moment equations for calculating the mean square response of a linear system to nonstationary random excitation. Zbl 0451.93067
Sakata, M.; Kimura, K.
1979
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#### Cited by 213 Authors

 13 Grammaticos, Basil 13 Ramani, Alfred 8 Petrera, Matteo 7 Gao, Haifeng 7 Suris, Yuri Borisovich 7 Zhang, Chuanzeng 7 Zheng, Changjun 6 Willox, Ralph 5 Chen, Haibo 5 Du, Lei 4 Jarlebring, Elias 4 Joshi, Nalini 4 Matsumoto, Toshiro 4 Xiao, Jinyou 3 Beyn, Wolf-Jürgen 3 Bi, ChuanXing 3 Isakari, Hiroshi 3 Kassotakis, Pavlos G. 3 Misawa, Ryota 3 Niino, Kazuki 3 Nishimura, Naoshi 3 Noferini, Vanni 3 Pati, Kishor Chandra 3 Sahadevan, Ramajayam 3 Sakurai, Tetsuya 3 Satsuma, Junkichi 3 Takahashi, Toru 3 Tamizhmani, Thamizharasi 2 Araujo-Cabarcas, Juan Carlos 2 Cartraud, Patrice 2 Celledoni, Elena 2 Chen, Xiaoping 2 Cima, Anna 2 Engström, Christian 2 Fedorov, Yuri N. 2 Huang, Tsungming 2 Imakura, Akira 2 Kajiwara, Kenji 2 Kimura, Kinji 2 Legrain, Gregory 2 McLaren, David I. 2 Michiels, Wim 2 Owren, Brynjulf 2 Pfadler, Andreas 2 Quispel, Gilles Reinout Willem 2 Saad, Yousef 2 Tisseur, Françoise 2 Tiwari, Archana 2 Townsend, Alex 2 Tsyganov, Andreĭ Vladimirovich 2 Tsuda, Teruhisa 2 Van Barel, Marc 2 Van Beeumen, Roel 2 Xi, Yuanzhe 2 Yamamoto, Yusaku 1 Akimoto, Shusuke 1 Bai, Chengming 1 Bai, Zhaojun 1 Baimova, J. A. 1 Barkatou, Moulay A. 1 Bartoli, Ivan 1 Bebikhov, Yuri V. 1 Bedford, Eric 1 Bhattacharyya, Debanjana 1 Bindel, David S. 1 Boito, Paola 1 Cao, Jinde 1 Chen, Jeng-Tzong 1 Corless, Robert Malcolm 1 Dai, Hua 1 Di Paola, Mario 1 Dmitriev, Sergey V. 1 Dragović, Vladimir 1 Dreyfus, Thomas 1 Dutta, Sourav 1 Effenberger, Cedric 1 El-Saeidy, Fawzi M. A. 1 Erlandson, Lucas 1 Evripidou, Charalampos A. 1 Failla, Giuseppe 1 Feng, Baofeng 1 Feng, Xiang 1 Fraternali, Fernando 1 Fukuhara, Mio 1 Gajić, Borislav 1 Gao, Meiling 1 Gasull, Armengol 1 Ge, Lixin 1 Giraldi, Loïc 1 Goriely, Alain 1 Guo, Junhong 1 Güttel, Stefan 1 Khabibullin, Ismagil Talgatovich 1 Heyliger, Paul R. 1 Hirashima, Ken-ichi 1 Hone, Andrew N. W. 1 Hood, Amanda 1 Hou, Dongping 1 Ikawa, Yusuke 1 Ito, Makoto ...and 113 more Authors
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#### Cited in 64 Serials

 10 Engineering Analysis with Boundary Elements 8 Journal of Mathematical Physics 8 Journal of Physics A: Mathematical and Theoretical 6 Letters in Mathematical Physics 5 Journal of Nonlinear Mathematical Physics 4 Acta Mechanica 4 Journal of Computational Physics 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Engineering 3 Numerische Mathematik 3 Linear Algebra and its Applications 3 SIAM Journal on Scientific Computing 3 Regular and Chaotic Dynamics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Theoretical Computer Science 2 Numerical Algorithms 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Computational Dynamics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 Ingenieur-Archiv 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Wave Motion 1 BIT 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Meccanica 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Computational Mechanics 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Archives of Control Sciences 1 Experimental Mathematics 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 The Ramanujan Journal 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Russian Physics Journal 1 Qualitative Theory of Dynamical Systems 1 International Journal of Modern Physics C 1 Sādhanā 1 Natural Computing 1 Journal of Applied Mathematics and Computing 1 Acta Numerica 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 East Asian Journal on Applied Mathematics 1 International Journal of Applied and Computational Mathematics
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#### Cited in 32 Fields

 52 Numerical analysis (65-XX) 39 Dynamical systems and ergodic theory (37-XX) 29 Difference and functional equations (39-XX) 19 Mechanics of particles and systems (70-XX) 16 Mechanics of deformable solids (74-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 10 Algebraic geometry (14-XX) 7 Special functions (33-XX) 6 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Associative rings and algebras (16-XX) 2 Potential theory (31-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)