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Omata, Seiro

Co-Author Distance
Author ID: omata.seiro Recent zbMATH articles by "Omata, Seiro"
Published as: Omata, Seiro; Omata, S.
Documents Indexed: 34 Publications since 1990, including 1 Book
2 Contributions as Editor
Co-Authors: 23 Co-Authors with 26 Joint Publications
303 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
10 Švadlenka, Karel
4 Kinami, Shinichi
4 Ohara, Katsuyoshi
3 Ginder, Elliott
3 Kazama, Masaki
3 Nakane, Kazuaki
2 Iwasaki, Hiroshi
2 Kikuchi, Koji
2 Nagasawa, Takeyuki
2 Yamaura, Yoshihiko
2 Yamazaki, Takashi
2 Yoshiuchi, Hidetoshi
1 Akagawa, Yoshiho
1 Imai, Hitoshi
1 Ishii, Katsuyuki
1 Kawagoe, Kenichi
1 Kikuta, Akira
1 Koide, Syota
1 Mei, Ming
1 Nakagawa, Hideaki
1 Okamura, Toshihiro
1 Tachikawa, Tomomi
1 Zhou, Tianshou
all top 5

Serials

9 Advances in Mathematical Sciences and Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 RIMS Kokyuroku
2 Funkcialaj Ekvacioj. Serio Internacia
2 Differential and Integral Equations
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Applied Mathematics and Optimization
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Proceedings of the Japan Academy. Series A
1 Sugaku Expositions
1 Japan Journal of Industrial and Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 SpringerBriefs in Mathematics
all top 5

Fields

29 Partial differential equations (35-XX)
13 Numerical analysis (65-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
8 Fluid mechanics (76-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Operator theory (47-XX)
3 Mechanics of deformable solids (74-XX)
2 General and overarching topics; collections (00-XX)
2 Differential geometry (53-XX)
1 History and biography (01-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

24 Publications have been cited 95 times in 51 Documents Cited by ▼ Year ▼
Discrete Morse semiflows of a functional with free boundary. Zbl 0795.35150
Nagasawa, T.; Omata, S.
12
1993
A variational method for multiphase volume-preserving interface motions. Zbl 1294.53064
Svadlenka, Karel; Ginder, Elliott; Omata, Seiro
11
2014
Convergence to diffusion waves of the solutions for Benjamin-Bona-Mahony-Burgers equations. Zbl 1026.35093
Kinami, Shin-ichi; Mei, Ming; Omata, Seiro
10
2000
A free boundary problem for a one dimensional hyperbolic equation. Zbl 0945.35092
Kikuchi, Koji; Omata, Seiro
9
1999
A numerical method based on the discrete Morse semiflow related to parabolic and hyperbolic equation. Zbl 0892.65037
Omata, Seiro
9
1997
Mathematical modelling of surface vibration with volume constraint and its analysis. Zbl 1158.35387
Švadlenka, Karel; Omata, Seiro
8
2008
Construction of approximate solution to a hyperbolic free boundary problem with volume constraint and its numerical computation. Zbl 1122.35159
Yamazaki, Takashi; Omata, Seiro; Svadlenka, Karel; Ohara, Katsuyoshi
6
2006
A free boundary problem for a quasilinear elliptic equation. I: Rectifiability of free boundary. Zbl 0797.49004
Omata, Seiro
6
1993
Numerical solution of film vibration with obstacle. Zbl 1122.35160
Yoshiuchi, Hidetoshi; Omata, Seiro; Svadlenka, Karel; Ohara, Katsuyoshi
5
2006
A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type. Zbl 0984.65097
Imai, Hitoshi; Kikuchi, Koji; Nakane, Kazuaki; Omata, Seiro; Tachikawa, Tomomi
4
2001
A free boundary problem for quasilinear elliptic equations. II. \(C^ {1,\alpha}\)-regularity of free boundary. Zbl 1141.35475
Omata, Seiro; Yamaura, Yoshihiko
4
1999
Mathematical analysis of a constrained parabolic free boundary problem describing droplet motion on a surface. Zbl 1180.35281
Švadlenka, Karel; Omata, Seiro
4
2009
Numerical analysis for the discrete Morse semiflow related to the Ginzburg-Landau functional. Zbl 0932.58015
Omata, Seiro; Okamura, Toshihiro; Nakane, Kazuaki
3
1999
A numerical treatment of film motion with free boundary. Zbl 1136.65339
Omata, Seiro
3
2004
Construction of solutions to heat-type problems with volume constraint via the discrete Morse flow. Zbl 1156.35394
Švadlenka, Karel; Omata, Seiro
3
2007
Numerical computations for motion of vortices governed by a hyperbolic Ginzburg-Landau system. Zbl 1153.35361
Nagasawa, Takeyuki; Nakane, Kazuaki; Omata, Seiro
2
2002
A free boundary problem for nonlinear elliptic equations. Zbl 0737.35162
Omata, Seiro; Yamaura, Yoshihiko
1
1990
Numerical calculations for the eikonal equation via the discrete Morse semiflow with Ginzburg-Landau energy. Zbl 0997.35003
Omata, Seiro; Iwasaki, Hiroshi; Kawagoe, Kenichi
1
2001
Variational approach to hyperbolic free boundary problems. Zbl 1519.35002
Omata, Seiro; Svadlenka, Karel; Ginder, Elliott
1
2022
Variational approach to evolutionary free boundary problems. Zbl 1238.58009
Omata, Seiro; Kazama, Masaki; Nakagawa, Hideaki
1
2009
Convergence of the approximation scheme to American option pricing via the discrete Morse semiflow. Zbl 1242.93144
Ishii, Katsuyuki; Omata, Seiro
1
2011
A global model for impact of elastic shells and its numerical implementation. Zbl 1291.35389
Kazama, Masaki; Omata, Seiro; Nagasawa, Takeyuki; Kikuta, Akira; Svadlenka, Karel
1
2013
A hyperbolic obstacle problem with an adhesion force. Zbl 1382.35170
Omata, Seiro
1
2017
A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem. Zbl 07506987
Akagawa, Yoshiho; Ginder, Elliott; Koide, Syota; Omata, Seiro; Svadlenka, Karel
1
2022
Variational approach to hyperbolic free boundary problems. Zbl 1519.35002
Omata, Seiro; Svadlenka, Karel; Ginder, Elliott
1
2022
A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem. Zbl 07506987
Akagawa, Yoshiho; Ginder, Elliott; Koide, Syota; Omata, Seiro; Svadlenka, Karel
1
2022
A hyperbolic obstacle problem with an adhesion force. Zbl 1382.35170
Omata, Seiro
1
2017
A variational method for multiphase volume-preserving interface motions. Zbl 1294.53064
Svadlenka, Karel; Ginder, Elliott; Omata, Seiro
11
2014
A global model for impact of elastic shells and its numerical implementation. Zbl 1291.35389
Kazama, Masaki; Omata, Seiro; Nagasawa, Takeyuki; Kikuta, Akira; Svadlenka, Karel
1
2013
Convergence of the approximation scheme to American option pricing via the discrete Morse semiflow. Zbl 1242.93144
Ishii, Katsuyuki; Omata, Seiro
1
2011
Mathematical analysis of a constrained parabolic free boundary problem describing droplet motion on a surface. Zbl 1180.35281
Švadlenka, Karel; Omata, Seiro
4
2009
Variational approach to evolutionary free boundary problems. Zbl 1238.58009
Omata, Seiro; Kazama, Masaki; Nakagawa, Hideaki
1
2009
Mathematical modelling of surface vibration with volume constraint and its analysis. Zbl 1158.35387
Švadlenka, Karel; Omata, Seiro
8
2008
Construction of solutions to heat-type problems with volume constraint via the discrete Morse flow. Zbl 1156.35394
Švadlenka, Karel; Omata, Seiro
3
2007
Construction of approximate solution to a hyperbolic free boundary problem with volume constraint and its numerical computation. Zbl 1122.35159
Yamazaki, Takashi; Omata, Seiro; Svadlenka, Karel; Ohara, Katsuyoshi
6
2006
Numerical solution of film vibration with obstacle. Zbl 1122.35160
Yoshiuchi, Hidetoshi; Omata, Seiro; Svadlenka, Karel; Ohara, Katsuyoshi
5
2006
A numerical treatment of film motion with free boundary. Zbl 1136.65339
Omata, Seiro
3
2004
Numerical computations for motion of vortices governed by a hyperbolic Ginzburg-Landau system. Zbl 1153.35361
Nagasawa, Takeyuki; Nakane, Kazuaki; Omata, Seiro
2
2002
A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type. Zbl 0984.65097
Imai, Hitoshi; Kikuchi, Koji; Nakane, Kazuaki; Omata, Seiro; Tachikawa, Tomomi
4
2001
Numerical calculations for the eikonal equation via the discrete Morse semiflow with Ginzburg-Landau energy. Zbl 0997.35003
Omata, Seiro; Iwasaki, Hiroshi; Kawagoe, Kenichi
1
2001
Convergence to diffusion waves of the solutions for Benjamin-Bona-Mahony-Burgers equations. Zbl 1026.35093
Kinami, Shin-ichi; Mei, Ming; Omata, Seiro
10
2000
A free boundary problem for a one dimensional hyperbolic equation. Zbl 0945.35092
Kikuchi, Koji; Omata, Seiro
9
1999
A free boundary problem for quasilinear elliptic equations. II. \(C^ {1,\alpha}\)-regularity of free boundary. Zbl 1141.35475
Omata, Seiro; Yamaura, Yoshihiko
4
1999
Numerical analysis for the discrete Morse semiflow related to the Ginzburg-Landau functional. Zbl 0932.58015
Omata, Seiro; Okamura, Toshihiro; Nakane, Kazuaki
3
1999
A numerical method based on the discrete Morse semiflow related to parabolic and hyperbolic equation. Zbl 0892.65037
Omata, Seiro
9
1997
Discrete Morse semiflows of a functional with free boundary. Zbl 0795.35150
Nagasawa, T.; Omata, S.
12
1993
A free boundary problem for a quasilinear elliptic equation. I: Rectifiability of free boundary. Zbl 0797.49004
Omata, Seiro
6
1993
A free boundary problem for nonlinear elliptic equations. Zbl 0737.35162
Omata, Seiro; Yamaura, Yoshihiko
1
1990
all cited Publications top 5 cited Publications
all top 5

Cited by 75 Authors

11 Omata, Seiro
8 Švadlenka, Karel
5 Nakane, Kazuaki
5 Yamaura, Yoshihiko
4 Ginder, Elliott
4 Xu, Xianmin
3 Bonafini, Mauro
3 Kikuchi, Koji
3 Novaga, Matteo
3 Orlandi, Giandomenico
3 Wang, Dong
3 Wang, Xiaoping
2 Fukao, Takeshi
2 Kazama, Masaki
2 Mohammad, Rhudaina Z.
2 Shinohara, Tomoko
1 Akagawa, Yoshiho
1 Campos, Pedro Miguel
1 Che, Haitao
1 Colli, Pierluigi
1 Deng, Haiying
1 Farshbaf-Shaker, Mohammad Hassan
1 Friis, Helmer André
1 Glotov, Dmitry
1 Hames, Willis E.
1 Hasan, Mohammad Tanzil
1 Helland, Johan Olav
1 Huo, Jinxia
1 Imai, Hitoshi
1 Ishii, Katsuyuki
1 Jettestuen, Espen
1 Jiang, Shidong
1 Jiao, Jianjun
1 Kato, Nobuyuki
1 Kemmochi, Tomoya
1 Koide, Syota
1 Le, Van Phu Cuong
1 Li, Qianfeng
1 Lin, Fubiao
1 Liu, Liping
1 Liu, Yongli
1 Liu, Zixin
1 Lu, Song
1 Mei, Ming
1 Meir, Amnon Jacob
1 Nagasawa, Takeyuki
1 Nakagawa, Hideaki
1 Ngan, Alfonso H. W.
1 Ngoma, Sedar
1 Pan, Xintian
1 Qin, Xiaoxue
1 Rodrigues, José Francisco
1 Shofianah, Nur
1 Singh, Deepak
1 Su, Wanghui
1 Sun, Mingbao
1 Tachikawa, Tomomi
1 Van Phu Cuong Le
1 Wang, Keyan
1 Wang, Yiju
1 Wang, Yinxia
1 Wang, Yuzhu
1 Wu, Yujiang
1 Xiang, Yang
1 Xu, Chuanju
1 Yamazaki, Noriaki
1 Ying, Wenjun
1 Zhang, Jiyuan
1 Zhang, Jun
1 Zhang, Luming
1 Zhang, Qifeng
1 Zhang, Xiaoxian
1 Zhang, Yinghui
1 Zhang, Yongqian
1 Zhao, Tinggang
all top 5

Cited in 29 Serials

10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Computational Physics
3 Journal of Computational and Applied Mathematics
2 Applicable Analysis
2 Mathematical Methods in the Applied Sciences
2 Proceedings of the Japan Academy. Series A
2 Journal of Scientific Computing
2 Japan Journal of Industrial and Applied Mathematics
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Kybernetika
1 Numerical Methods for Partial Differential Equations
1 Sugaku Expositions
1 Communications in Partial Differential Equations
1 Mathematical Problems in Engineering
1 Abstract and Applied Analysis
1 Computational Geosciences
1 Mathematical Modelling and Analysis
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Hyperbolic Differential Equations
1 Frontiers of Mathematics in China
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Calculus of Variations
all top 5

Cited in 12 Fields

42 Partial differential equations (35-XX)
20 Numerical analysis (65-XX)
14 Fluid mechanics (76-XX)
8 Mechanics of deformable solids (74-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
4 Operator theory (47-XX)
4 Global analysis, analysis on manifolds (58-XX)
2 Differential geometry (53-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year