×
Author ID: ito.kazufumi Recent zbMATH articles by "Ito, Kazufumi"
Published as: Ito, Kazufumi; Ito, K.; Ito, Kuzufumi; Itoi, K.
Homepage: http://www4.ncsu.edu/~kito/
External Links: MGP · ORCID · dblp · GND
all top 5

Co-Authors

18 single-authored
59 Kunisch, Karl
22 Fang, Weifu
16 Banks, Harvey Thomas
15 Li, Zhilin
13 Jin, Bangti
12 Kappel, Franz
12 Zou, Jun
8 Takeuchi, Tomoya
6 Toivanen, Jari
5 Ackleh, Azmy S.
4 Chow, Yat Tin
4 Fabiano, Richard H.
4 Peichl, Gunther H.
4 Ravindran, Sivaguru S.
4 Tran, Hien T.
4 Zhang, Zhiyue
3 Clason, Christian
3 Demetriou, Michael A.
3 Qiao, Zhonghua
3 Redfern, David A.
3 Reitich, Fernando
2 Borzì, Alfio
2 Burns, John A.
2 Curtain, Ruth Frances
2 Fahroo, Fariba
2 Jolly, M. R.
2 Kang, Sungkwon
2 Lai, Mingchih
2 Liang, Ying
2 Powers, Robert K.
2 Propst, Georg
2 Scroggs, Jeffrey S.
2 Smith, Ralph C.
2 Teglas, Russell G.
2 Toivanen, J. A.
2 Turi, Janos
2 Wan, Xiaohai
2 Zhang, Qin
2 Zhang, Yufei
2 Zhao, Tengjin
1 Aihara, Kazuyuki
1 Arridge, Simon R.
1 Bergounioux, Maïtine
1 Busenberg, Stavros N.
1 Chellamuthu, Vinodh K.
1 Choi, M. G.
1 Chung, Tsz Shun Eric
1 Deng, Keng
1 Deng, Shaozhong
1 Desai, Mihir A.
1 Durso, S. R.
1 Furati, Khaled M.
1 Gherman, Ilia
1 Grove, S. L.
1 Haslinger, Jaroslav
1 Heikkola, Erkki
1 Hicks, Gregory P.
1 Hintermüller, Michael
1 Hu, Shuhua
1 Humber, Cary
1 Hussein, Abd El-Rahman Aly
1 Huynh, Quyen Quang
1 Kepler, Grace M.
1 King, Belinda Batten
1 Kojima, Fumio
1 Kozubek, Tomas
1 Kroller, M.
1 Kyei, Yaw
1 Landi, A. K.
1 Liu, Ji-Chuan
1 Liu, Keji
1 Liu, Wenju
1 Lubkin, Sharon R.
1 Luke, Nicholas S.
1 Ly, Hung Van
1 Manitius, Andrzej Z.
1 Morris, Kirsten A.
1 Muccio, Sarah Grove
1 Murphy, Katherine A.
1 Nakagiri, Shin-ichi
1 Oostveen, Job C.
1 Ramdani, Karim
1 Reisinger, Christoph
1 Rosen, I. Gary
1 Rozovskii, Boris L.
1 Salamon, Dietmar Arno
1 Schroeter, J. D.
1 Schulz, Volker H.
1 Simon, Thilo M.
1 Singh, Suruchi
1 Singh, Swarn
1 Thibodeaux, Jeremy J.
1 Tucsnak, Marius
1 Wang, Chunming
1 Wang, Yun
1 Xiang, Hua
1 Xie, Hui
1 Xiong, Kaiqi
1 Yamamoto, Masahiro
1 Zhang, Chen
...and 1 more Co-Authors
all top 5

Serials

28 SIAM Journal on Control and Optimization
12 Inverse Problems
12 SIAM Journal on Scientific Computing
10 Journal of Differential Equations
7 Journal of Computational Physics
6 Applied Mathematics and Optimization
6 Applied Mathematics Letters
5 SIAM Journal on Numerical Analysis
5 SIAM Journal on Applied Mathematics
5 SIAM Journal on Optimization
4 Journal of Mathematical Analysis and Applications
4 Journal of Computational and Applied Mathematics
3 IEEE Transactions on Automatic Control
3 Numerical Functional Analysis and Optimization
3 Mathematical and Computer Modelling
3 Differential and Integral Equations
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Communications in Computational Physics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Applicable Analysis
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Scientific and Statistical Computing
2 Applied Numerical Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Mathematical Programming. Series A. Series B
2 Journal of Mathematical Systems, Estimation, and Control
2 Electronic Journal of Differential Equations (EJDE)
2 Computational and Applied Mathematics
2 Methods and Applications of Analysis
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Numerical Mathematics: Theory, Methods and Applications
1 Computers and Fluids
1 IMA Journal of Applied Mathematics
1 International Journal for Numerical Methods in Fluids
1 Mathematical Biosciences
1 Mathematics of Computation
1 Journal of Optimization Theory and Applications
1 Kybernetika
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Results in Mathematics
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 International Journal of Adaptive Control and Signal Processing
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Inverse and Ill-Posed Problems
1 Discrete and Continuous Dynamical Systems
1 International Journal of Computational Fluid Dynamics
1 Vietnam Journal of Mathematics
1 Fractional Calculus & Applied Analysis
1 Interfaces and Free Boundaries
1 International Journal of Applied Mathematics and Computer Science
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Mathematical Biosciences and Engineering
1 Frontiers in Applied Mathematics
1 Series on Advances in Mathematics for Applied Sciences
1 Series on Applied Mathematics (Singapore)
1 Advances in Design and Control
1 Discrete and Continuous Dynamical Systems. Series S

Publications by Year

Citations contained in zbMATH Open

194 Publications have been cited 4,057 times in 2,982 Documents Cited by Year
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
442
2003
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
329
2006
Lagrange multiplier approach to variational problems and applications. Zbl 1156.49002
Ito, Kazufumi; Kunisch, Karl
282
2008
Primal-dual strategy for constrained optimal control problems. Zbl 0937.49017
Bergounioux, Maïtine; Ito, Kazufumi; Kunisch, Karl
140
1999
Gaussian filters for nonlinear filtering problems. Zbl 0976.93079
Ito, Kazufumi; Xiong, Kaiqi
101
2000
Maximum principle preserving schemes for interface problems with discontinuous coefficients. Zbl 1001.65115
Li, Zhilin; Ito, Kazufumi
95
2001
A reduced-order method for simulation and control of fluid flows. Zbl 0936.76031
Ito, Kazufumi; Ravindran, S. S.
91
1998
Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210
Ito, Kazufumi; Jin, Bangti
80
2015
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
74
2012
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
72
2001
Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311
Ito, Kazufumi; Kunisch, Karl
68
2003
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
58
2003
Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces. Zbl 0971.49014
Ito, Kazufumi; Kunisch, Karl
55
2000
Optimal control of elliptic variational inequalities. Zbl 0960.49003
Ito, K.; Kunisch, K.
53
2000
The augmented Lagrangian method for parameter estimation in elliptic systems. Zbl 0709.93021
Ito, Kazufumi; Kunisch, Karl
47
1990
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
46
2007
A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008
Ito, Kazufumi; Jin, Bangti; Zou, Jun
46
2013
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
45
2008
The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces. Zbl 0706.90096
Ito, K.; Kunisch, K.
45
1990
Optimal controls of Navier-Stokes equations. Zbl 0813.35078
Desai, Mihir; Ito, Kazufumi
44
1994
Exponentially stable approximations of weakly damped wave equations. Zbl 0850.93719
Banks, H. T.; Ito, Kazufumi; Wang, C.
42
1991
Global solutions of the time-dependent drift-diffusion semiconductor equations. Zbl 0845.35050
Fang, W. F.; Ito, K.
40
1995
Evolution equations and approximations. Zbl 1014.34045
Ito, Kazufumi; Kappel, Franz
40
2002
Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
37
2006
Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072
Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin
35
2003
Optimal control of thermally convected fluid flows. Zbl 0918.49004
Ito, Kazufumi; Ravindran, S. S.
35
1998
Optimal bilinear control of an abstract Schrödinger equation. Zbl 1136.35089
Ito, Kazufumi; Kunisch, Karl
30
2007
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints. Zbl 1077.90051
Ito, Kazufumi; Kunisch, Karl
30
2004
A direct sampling method for electrical impedance tomography. Zbl 1301.35210
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
30
2014
A reduced basis method for control problems governed by PDEs. Zbl 0908.93025
Ito, Kazufumi; Ravindran, S. S.
29
1998
Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064
Ito, Kazufumi; Kunisch, Karl
28
2008
An implicit finite difference scheme for the nonlinear size-structured population model. Zbl 0897.35006
Ackleh, Azmy S.; Ito, Kazufumi
28
1997
Well posedness for damped second order systems with unbounded input operators. Zbl 0817.35014
Banks, H. T.; Ito, Kazufumi; Wang, Y.
28
1995
Optimal control formulation for determining optical flow. Zbl 1041.68103
Borzì, Alfio; Ito, Kazufumi; Kunisch, Karl
27
2002
Reduced basis method for optimal control of unsteady viscous flows. Zbl 1036.76011
Ito, Kazufumi; Ravindran, S. S.
26
2001
Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors. Zbl 0884.34031
Fang, Weifu; Ito, Kazufumi
26
1997
Optimal control of parabolic variational inequalities. Zbl 1247.35062
Ito, Kazufumi; Kunisch, Karl
25
2010
Optimal control with \(L^p(\Omega)\), \(p\in [0,1)\), control cost. Zbl 1306.49010
Ito, Kazufumi; Kunisch, Karl
25
2014
Direct sampling method for diffusive optical tomography. Zbl 1320.65195
Chow, Yat Tin; Ito, Kazufumi; Liu, Keji; Zou, Jun
25
2015
An augmented Lagrangian technique for variational inequalities. Zbl 0692.49008
Ito, K.; Kunisch, K.
24
1990
Receding horizon optimal control for infinite dimensional systems. Zbl 1066.49020
Ito, Kazufumi; Kunisch, Karl
24
2002
Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004
Ito, Kazufumi; Kunisch, Karl
22
2006
Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation. Zbl 0790.49028
Ito, K.; Kunisch, K.
21
1992
Multi-parameter Tikhonov regularization. Zbl 1285.65032
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
21
2011
A fully-discrete spectral method for delay-differential equations. Zbl 0731.65055
Ito, Kazufumi; Tran, H. T.; Manitius, A.
21
1991
A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. Zbl 1143.76044
Ito, Kazufumi; Qiao, Zhonghua
21
2008
An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050
Ito, Kazufumi; Kunisch, Karl
21
1999
On the time-dependent drift-diffusion model for semiconductors. Zbl 0835.35139
Fang, W. F.; Itoi, K.
20
1995
Measure-valued solutions for a hierarchically size-structured population. Zbl 1082.35049
Ackleh, Azmy S.; Ito, Kazufumi
20
2005
The Trotter-Kato theorem and approximation of PDEs. Zbl 0893.47025
Ito, Kazufumi; Kappel, Franz
20
1998
On the shape derivative for problems of Bernoulli type. Zbl 1178.49055
Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G.
19
2009
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
19
2005
Augmented Lagrangian-SQP-methods in Hilbert spaces and application to control in the coefficients problems. Zbl 0846.65026
Ito, Kazufumi; Kunisch, Karl
19
1996
A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate. Zbl 1104.92012
Ackleh, Azmy S.; Deng, Keng; Ito, Kazufumi; Thibodeaux, Jeremy
18
2006
Semismooth Newton methods for time-optimal control for a class of ODEs. Zbl 1202.49041
Ito, Kazufumi; Kunisch, Karl
18
2010
A linear quadratic optimal control for neutral systems. Zbl 0585.93036
Ito, Kazufumi; Tarn, T. J.
18
1985
Estimation of the convection in elliptic equations. Zbl 0886.35170
Ito, Kazufumi; Kunisch, Karl
18
1997
A fully discretized approximation scheme for size-structured population models. Zbl 0732.92019
Ito, K.; Kappel, F.; Peichl, G.
18
1991
Augmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type. Zbl 0860.49023
Ito, Kazufumi; Kunisch, Karl
18
1996
Lagrange multiplier approach with optimized finite difference stencils for pricing American options under stochastic volatility. Zbl 1201.35024
Ito, Kazufumi; Toivanen, Jari
18
2009
A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
18
2016
A time reversal based algorithm for solving initial data inverse problems. Zbl 1209.35153
Ito, Kazufumi; Ramdani, Karim; Tucsnak, Marius
17
2011
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue
17
2015
A numerical algorithm for optimal feedback gains in high dimensional linear quadratic regulator problems. Zbl 0736.65043
Banks, H. T.; Ito, Kazufumi
16
1991
A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
16
2011
On a semi-smooth Newton method and its globalization. Zbl 1164.65018
Ito, Kazufumi; Kunisch, Karl
16
2009
On nonconvergence of adjoint semigroups for control systems with delays. Zbl 0661.93038
Burns, John; Ito, Kazufumi; Propst, Georg
16
1988
Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors. Zbl 0876.35114
Fang, Weifu; Ito, Kazufumi
16
1997
A domain decomposition solver for acoustic scattering by elastic objects in layered media. Zbl 1145.74038
Ito, Kazufumi; Qiao, Zhonghua; Toivanen, Jari
16
2008
A spline based technique for computing Riccati operators and feedback controls in regulator problems for delay equations. Zbl 0553.65047
Banks, H. T.; Rosen, I. G.; Ito, Kazufumi
15
1984
A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070
Ito, Kazufumi; Kunisch, Karl
15
2014
Numerical methods for a class of singular integro-differential equations based on semigroup approximation. Zbl 0744.65103
Ito, Kazufumi; Turi, Janos
14
1991
Approximation in LQR problems for infinite dimensional systems with unbounded input operators. Zbl 0894.93023
Banks, H. T.; Ito, Kazufumi
14
1997
Legendre-tau approximations for functional differential equations. Zbl 0615.65085
Ito, Kazufumi; Teglas, Russell
14
1986
A uniformly differentiable approximation scheme for delay systems using splines. Zbl 0738.65055
Ito, K.; Kappel, F.
13
1991
An augmented approach for the pressure boundary condition in a Stokes flow. Zbl 1115.76373
Li, Z.; Wan, X.; Ito, Kazufumi; Lubkin, S. R.
13
2006
Approximation of the Kushner equation for nonlinear filtering. Zbl 0952.93126
Ito, Kazufumi; Rozovskii, Boris
13
2000
Approximation of the Zakai equation for nonlinear filtering. Zbl 0847.93061
Ito, Kazufumi
13
1996
A dissipative feedback control synthesis for systems arising in fluid dynamics. Zbl 0806.49005
Ito, Kazufumi; Kang, Sungkwon
13
1994
On the injectivity and linearization of the coefficient-to-solution mapping for elliptic boundary value problems. Zbl 0817.35021
Ito, K.; Kunisch, K.
13
1994
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
12
2009
Asymptotic behavior of the drift-diffusion semiconductor equations. Zbl 0845.35051
Fang, W. F.; Ito, K.
12
1995
Strong convergence and convergence rates of approximating solutions for algebraic Riccati equations in Hilbert spaces. Zbl 0644.93023
Ito, Kazufumi
12
1987
Asymptotic properties of receding horizon optimal control problems. Zbl 1031.49033
Ito, Kazufumi; Kunisch, Karl
12
2002
A time-dependent direct sampling method for recovering moving potentials in a heat equation. Zbl 1471.35326
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
12
2018
A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063
Ito, Kazufumi; Jin, Bangti
11
2011
Optimal control of obstacle problems by \(H^{1}\)-obstacles. Zbl 1125.49018
Ito, Kazufumi; Kunisch, Karl
11
2007
Reduced order feedback synthesis for viscous incompressible flows. Zbl 0967.93013
Ito, Kazufumi; Schroeter, J. D.
11
2001
A high-order perturbation approach to profile reconstruction. I: Perfectly conducting gratings. Zbl 0935.35175
Ito, Kazufumi; Reitich, Fernando
11
1999
Preconditioned iterative methods on sparse subspaces. Zbl 1176.65030
Ito, Kazufumi; Toivanen, Jari
10
2006
An optimal control approach to optical flow computation. Zbl 1018.68088
Borzì, A.; Ito, K.; Kunisch, K.
10
2002
Existence of stationary solutions to an energy drift-diffusion model for semiconductor devices. Zbl 1012.82028
Fang, Weifu; Ito, Kazufumi
10
2001
An approximation theory of solutions to operator Riccati equations for \(H^\infty\) control. Zbl 0926.93018
Ito, Kazufumi; Morris, K. A.
10
1998
Finite-dimensional compensators for infinite-dimensional systems via Galerkin-type approximation. Zbl 0733.93031
Ito, Kazufumi
9
1990
Semigroup theory and numerical approximation for equations in linear viscoelasticity. Zbl 0688.65080
Fabiano, R. H.; Ito, Kazufumi
9
1990
Simulations of particle dynamics in magnetorheological fluids. Zbl 0953.76063
Ly, H. V.; Reitich, F.; Jolly, M. R.; Banks, H. T.; Ito, K.
9
1999
Modeling and analysis of laser-beam-induced current images in semiconductors. Zbl 0772.35072
Busenberg, Stavros; Fang, Weifu; Ito, Kazufumi
9
1993
A neural network-based policy iteration algorithm with global \(H^2\)-superlinear convergence for stochastic games on domains. Zbl 1472.82030
Ito, Kazufumi; Reisinger, Christoph; Zhang, Yufei
9
2021
On the choice of the regularization parameter in nonlinear inverse problems. Zbl 0766.65109
Ito, K.; Kunisch, K.
8
1992
Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems. Zbl 1157.93423
Demetriou, Michael A.; Ito, Kazufumi; Smith, Ralph C.
8
2009
Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains. Zbl 1516.49028
Liu, Wenju; Zhao, Tengjin; Ito, Kazufumi; Zhang, Zhiyue
1
2023
Least squares formulation for ill-posed inverse problems and applications. Zbl 1505.35363
Chung, Eric; Ito, Kazufumi; Yamamoto, Masahiro
1
2022
Least-squares method for recovering multiple medium parameters. Zbl 1505.65212
Ito, Kazufumi; Liang, Ying; Zou, Jun
1
2022
A neural network-based policy iteration algorithm with global \(H^2\)-superlinear convergence for stochastic games on domains. Zbl 1472.82030
Ito, Kazufumi; Reisinger, Christoph; Zhang, Yufei
9
2021
Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems. Zbl 1471.65095
Zhao, Tengjin; Ito, Kazufumi; Zhang, Zhiyue
3
2021
Regularized linear inversion with randomized singular value decomposition. Zbl 1451.65043
Ito, Kazufumi; Jin, Bangti
2
2020
A parallel domain decomposition method for the Helmholtz equation in layered media. Zbl 1431.65207
Heikkola, Erkki; Ito, Kazufumi; Toivanen, Jari
2
2019
A time-dependent direct sampling method for recovering moving potentials in a heat equation. Zbl 1471.35326
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
12
2018
Variational Gaussian approximation for Poisson data. Zbl 1433.62043
Arridge, Simon R.; Ito, Kazufumi; Jin, Bangti; Zhang, Chen
7
2018
A fourth order compact scheme for transport equation with discontinuous coefficients. Zbl 1438.65191
Singh, Suruchi; Ito, Kazufumi; Singh, Swarn; Li, Zhilin
1
2018
A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
18
2016
On a Legendre tau method for fractional boundary value problems with a Caputo derivative. Zbl 1338.65196
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
6
2016
Analysis on a nonnegative matrix factorization and its applications. Zbl 1347.15018
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
2
2016
The nonnegative matrix factorization: regularization and complexity. Zbl 1386.65123
Ito, K.; Landi, A. K.
1
2016
A sequential method for a class of stable mathematical programming problems. Zbl 1382.65178
Ito, Kazufumi; Kunisch, Karl
1
2016
Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210
Ito, Kazufumi; Jin, Bangti
80
2015
Direct sampling method for diffusive optical tomography. Zbl 1320.65195
Chow, Yat Tin; Ito, Kazufumi; Liu, Keji; Zou, Jun
25
2015
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue
17
2015
On the sectorial property of the Caputo derivative operator. Zbl 1371.34124
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
7
2015
Finite difference approximations for measure-valued solutions of a hierarchically size-structured population model. Zbl 1310.65089
Ackleh, Azmy S.; Chellamuthu, Vinodh K.; Ito, Kazufumi
5
2015
A direct sampling method for electrical impedance tomography. Zbl 1301.35210
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
30
2014
Optimal control with \(L^p(\Omega)\), \(p\in [0,1)\), control cost. Zbl 1306.49010
Ito, Kazufumi; Kunisch, Karl
25
2014
A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070
Ito, Kazufumi; Kunisch, Karl
15
2014
A note on the existence of nonsmooth nonconvex optimization problems. Zbl 1307.49007
Ito, Kazufumi; Kunisch, Karl
7
2014
Multi-parameter Tikhonov regularization – an augmented approach. Zbl 1309.65065
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
4
2014
Immersed interface CIP for one dimensional hyperbolic equations. Zbl 1388.65088
Ito, Kazufumi; Takeuchi, Tomoya
1
2014
A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008
Ito, Kazufumi; Jin, Bangti; Zou, Jun
46
2013
Recovery of inclusions in 2D and 3D domains for Poisson’s equation. Zbl 1278.65170
Ito, Kazufumi; Liu, Ji-Chuan
4
2013
Optimal control laws for traffic flow. Zbl 1262.90034
Aihara, K.; Ito, Kazufumi; Nakagawa, J.; Takeuchi, T.
1
2013
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
74
2012
A minimum effort optimal control problem for elliptic PDEs. Zbl 1270.49023
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
3
2012
Multi-parameter Tikhonov regularization. Zbl 1285.65032
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
21
2011
A time reversal based algorithm for solving initial data inverse problems. Zbl 1209.35153
Ito, Kazufumi; Ramdani, Karim; Tucsnak, Marius
17
2011
A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
16
2011
A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063
Ito, Kazufumi; Jin, Bangti
11
2011
A new choice rule for regularization parameters in Tikhonov regularization. Zbl 1228.65082
Ito, Kazufumi; Jin, Bangti; Zou, Jun
6
2011
Minimal effort problems and their treatment by semismooth Newton methods. Zbl 1234.49017
Ito, Kazufumi; Kunisch, Karl
6
2011
Karush-Kuhn-Tucker conditions for nonsmooth mathematical programming problems in function spaces. Zbl 1234.49021
Ito, Kazufumi; Kunisch, Karl
5
2011
Minimal invasion: an optimal \(L{^\infty}\) state constraint problem. Zbl 1269.65060
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
3
2011
Novel concepts for nonsmooth optimization and their impact on science and technology. Zbl 1231.35278
Ito, Kazufumi; Kunisch, Karl
1
2011
Optimal control of parabolic variational inequalities. Zbl 1247.35062
Ito, Kazufumi; Kunisch, Karl
25
2010
Semismooth Newton methods for time-optimal control for a class of ODEs. Zbl 1202.49041
Ito, Kazufumi; Kunisch, Karl
18
2010
Approximate nullspace iterations for KKT systems. Zbl 1203.65091
Ito, Kazufumi; Kunisch, Karl; Schulz, Volker; Gherman, Ilia
8
2010
On the shape derivative for problems of Bernoulli type. Zbl 1178.49055
Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G.
19
2009
Lagrange multiplier approach with optimized finite difference stencils for pricing American options under stochastic volatility. Zbl 1201.35024
Ito, Kazufumi; Toivanen, Jari
18
2009
On a semi-smooth Newton method and its globalization. Zbl 1164.65018
Ito, Kazufumi; Kunisch, Karl
16
2009
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
12
2009
Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems. Zbl 1157.93423
Demetriou, Michael A.; Ito, Kazufumi; Smith, Ralph C.
8
2009
Asymptotic properties of feedback solutions for a class of quantum control problems. Zbl 1203.93041
Ito, Kazufumi; Kunisch, Karl
2
2009
Lagrange multiplier approach to variational problems and applications. Zbl 1156.49002
Ito, Kazufumi; Kunisch, Karl
282
2008
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
45
2008
Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064
Ito, Kazufumi; Kunisch, Karl
28
2008
A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. Zbl 1143.76044
Ito, Kazufumi; Qiao, Zhonghua
21
2008
A domain decomposition solver for acoustic scattering by elastic objects in layered media. Zbl 1145.74038
Ito, Kazufumi; Qiao, Zhonghua; Toivanen, Jari
16
2008
Reduced-order optimal control based on approximate inertial manifolds for nonlinear dynamical systems. Zbl 1178.93033
Ito, Kazufumi; Kunisch, Karl
7
2008
A finite element method for interface problems with locally modified triangulations. Zbl 1306.65279
Xie, Hui; Ito, Kazufumi; Li, Zhilin; Toivanen, Jari
3
2008
A high order finite difference scheme for the Stokes equations. Zbl 1306.76031
Ito, Kazufumi; Qiao, Zhonghua
1
2008
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
46
2007
Optimal bilinear control of an abstract Schrödinger equation. Zbl 1136.35089
Ito, Kazufumi; Kunisch, Karl
30
2007
Optimal control of obstacle problems by \(H^{1}\)-obstacles. Zbl 1125.49018
Ito, Kazufumi; Kunisch, Karl
11
2007
A fast iterative solver for scattering by elastic objects in layered media. Zbl 1112.76047
Ito, Kazufumi; Toivanen, J.
7
2007
Adaptive monitoring and accommodation of nonlinear actuator faults in positive real infinite dimensional systems. Zbl 1366.93287
Demetriou, Michael A.; Ito, Kazufumi; Smith, Ralph C.
7
2007
Applications of semi-smooth Newton methods to variational inequalities. Zbl 1239.49040
Ito, Kazufumi; Kunisch, Karl
3
2007
Convergence of the primal-dual active set strategy for diagonally dominant systems. Zbl 1354.49065
Ito, Kazufumi; Kunisch, Karl
1
2007
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
329
2006
Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
37
2006
Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004
Ito, Kazufumi; Kunisch, Karl
22
2006
A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate. Zbl 1104.92012
Ackleh, Azmy S.; Deng, Keng; Ito, Kazufumi; Thibodeaux, Jeremy
18
2006
An augmented approach for the pressure boundary condition in a Stokes flow. Zbl 1115.76373
Li, Z.; Wan, X.; Ito, Kazufumi; Lubkin, S. R.
13
2006
Preconditioned iterative methods on sparse subspaces. Zbl 1176.65030
Ito, Kazufumi; Toivanen, Jari
10
2006
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Zbl 1096.76014
Ito, Kazufumi; Li, Zhilin
7
2006
Reduced order control based on approximate inertial manifolds. Zbl 1105.93018
Ito, Kazufumi; Kunisch, Karl
5
2006
Pressure jump conditions for Stokes equations with discontinuous viscosity in 2D and 3D. Zbl 1142.76022
Ito, Kuzufumi; Li, Zhilin; Wan, Xiaohai
3
2006
Receding horizon control with incomplete observations. Zbl 1110.49032
Ito, Kazufumi; Kunisch, Karl
3
2006
Material surface design to counter electromagnetic interrogation of targets. Zbl 1099.78007
Banks, H. T.; Ito, Kazufumi; Kepler, G. M.; Toivanen, J. A.
3
2006
Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings. Zbl 1114.78313
Banks, H. T.; Ito, Kazufumi; Toivanen, J.
1
2006
Measure-valued solutions for a hierarchically size-structured population. Zbl 1082.35049
Ackleh, Azmy S.; Ito, Kazufumi
20
2005
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
19
2005
A method for determination of optimal gaits with application to a snake-like serial-link structure. Zbl 1365.70036
Hicks, Gregory; Ito, Kazufumi
2
2005
An optimal optical flow. Zbl 1111.60047
Ito, Kazufumi
1
2005
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints. Zbl 1077.90051
Ito, Kazufumi; Kunisch, Karl
30
2004
LBIC imaging of semiconductor arrays: the cross-sectional model. Zbl 1059.82538
Fang, Weifu; Ito, K.; Redfern, D. A.
1
2004
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
442
2003
Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311
Ito, Kazufumi; Kunisch, Karl
68
2003
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
58
2003
Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072
Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin
35
2003
Adaptive compresators for perturbed positive real infinite-dimensional systems. Zbl 1051.93051
Curtain, Ruth F.; Demetriou, Michael A.; Ito, Kazufumi
6
2003
Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method. Zbl 1039.76051
Ito, Kazufumi; Li, Zhilin
6
2003
Identification of contact regions in semiconductor transistors by level-set methods. Zbl 1030.80002
Fang, Weifu; Ito, Kazufumi
4
2003
Evolution equations and approximations. Zbl 1014.34045
Ito, Kazufumi; Kappel, Franz
40
2002
Optimal control formulation for determining optical flow. Zbl 1041.68103
Borzì, Alfio; Ito, Kazufumi; Kunisch, Karl
27
2002
Receding horizon optimal control for infinite dimensional systems. Zbl 1066.49020
Ito, Kazufumi; Kunisch, Karl
24
2002
Asymptotic properties of receding horizon optimal control problems. Zbl 1031.49033
Ito, Kazufumi; Kunisch, Karl
12
2002
An optimal control approach to optical flow computation. Zbl 1018.68088
Borzì, A.; Ito, K.; Kunisch, K.
10
2002
Optimal control of the solid fuel ignition model with \(H^{1}\)-cost. Zbl 1028.49032
Ito, Kazufumi; Kunisch, Karl
4
2002
Parameter identification for semiconductor diodes by LBIC imaging. Zbl 1010.35116
Fang, Weifu; Ito, Kazufumi; Redfern, David A.
4
2002
On the regularization and approximation of saddle point problems without inf-sup condition. Zbl 1348.49006
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther
3
2002
Maximum principle preserving schemes for interface problems with discontinuous coefficients. Zbl 1001.65115
Li, Zhilin; Ito, Kazufumi
95
2001
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
72
2001
Reduced basis method for optimal control of unsteady viscous flows. Zbl 1036.76011
Ito, Kazufumi; Ravindran, S. S.
26
2001
...and 94 more Documents
all top 5

Cited by 3,939 Authors

92 Kunisch, Karl
71 Ito, Kazufumi
50 Li, Zhilin
41 Jin, Bangti
37 Hintermüller, Michael
26 Zou, Jun
23 Wachsmuth, Daniel
21 Brenner, Susanne Cecelia
21 Stoll, Martin
21 Volkwein, Stefan
20 Ackleh, Azmy S.
20 Banks, Harvey Thomas
20 Clason, Christian
19 Sung, Li-Yeng
19 Wohlmuth, Barbara I.
19 Yousept, Irwin
18 Lai, Mingchih
18 Rösch, Arnd
18 Zhang, Zhiyue
17 Benner, Peter
17 Hinze, Michael
17 Lin, Tao
17 Lu, Xiliang
17 Tröltzsch, Fredi
16 Borzì, Alfio
16 Kovtunenko, Viktor Anatolievich
15 Herzog, Roland
15 Rozza, Gianluigi
15 Yang, Haijian
14 De los Reyes, Juan Carlos
14 Fang, Weifu
14 Ying, Wenjun
13 Gudi, Thirupathi
13 Khan, Akhtar Ali
13 Liu, Jun
12 Ji, Haifeng
12 Popp, Alexander
12 Surowiec, Thomas
12 Wall, Wolfgang A.
12 Wick, Thomas
11 Angulo, Oscar
11 Neitzel, Ira
11 Sama, Miguel
11 Tai, Xuecheng
11 Wang, Liqun
11 Wei, Guowei
10 Antil, Harbir
10 Bredies, Kristian
10 Burns, John A.
10 Chen, Jinru
10 Chen, Yanping
10 Guo, Ruchi
10 Lin, Yanping
10 López-Marcos, Juan Carlos
10 Morris, Kirsten A.
10 Nguyen, Dinh Liem
10 Porwal, Kamana
10 Tan, Zhijun
10 Zhou, Zhi
9 Chow, Yat Tin
9 Guo, Bao-Zhu
9 He, Xiaoming
9 Hou, Songming
9 Kalise, Dante
9 Kanzow, Christian
9 Klibanov, Michael V.
9 Kulikov, Gennady Yur’evich
9 Laurain, Antoine
9 Li, Yeping
9 Manzoni, Andrea
9 Meyer, Christian
9 Pearson, John W.
9 Sun, Hongpeng
9 Toivanen, Jari
9 Ulbrich, Michael
9 Yan, Ningning
9 Zhang, Liwei
9 Zhang, Xu
8 Alekseev, Gennady V.
8 Burman, Erik
8 Casas, Eduardo
8 Deng, Keng
8 Harbrecht, Helmut
8 Hu, Wei-Fan
8 Jadamba, Baasansuren
8 Kappel, Franz
8 Li, Xiaolin
8 Liu, Keji
8 Mehlitz, Patrick
8 Pan, Kejia
8 Park, Won-Kwang
8 Patera, Anthony T.
8 Pinnau, René
8 Reisinger, Christoph
8 Saritskaya, Zhanna Yur’evna
8 Trélat, Emmanuel
8 Wachsmuth, Gerd
8 Yuan, Xiaoming
8 Zhang, Kaijun
8 Zhang, Qian
...and 3,839 more Authors
all top 5

Cited in 341 Serials

222 Journal of Computational Physics
101 Journal of Computational and Applied Mathematics
86 Computer Methods in Applied Mechanics and Engineering
83 Computers & Mathematics with Applications
82 Inverse Problems
78 Journal of Scientific Computing
74 Computational Optimization and Applications
71 SIAM Journal on Control and Optimization
61 SIAM Journal on Scientific Computing
61 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
53 Journal of Mathematical Analysis and Applications
51 Applied Mathematics and Computation
51 Applied Numerical Mathematics
48 Journal of Optimization Theory and Applications
46 Automatica
41 Numerical Functional Analysis and Optimization
40 Numerische Mathematik
38 International Journal for Numerical Methods in Engineering
34 Applied Mathematics and Optimization
33 Numerical Methods for Partial Differential Equations
31 SIAM Journal on Numerical Analysis
30 Systems & Control Letters
28 Mathematical Methods in the Applied Sciences
27 Applied Mathematics Letters
27 Optimization Methods & Software
27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
26 Computers and Fluids
26 Journal of Inverse and Ill-Posed Problems
25 Journal of Differential Equations
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 SIAM Journal on Optimization
24 Advances in Computational Mathematics
23 Applicable Analysis
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Inverse Problems and Imaging
21 SIAM Journal on Imaging Sciences
20 International Journal of Computer Mathematics
18 Numerical Algorithms
18 Mathematical Programming. Series A. Series B
17 Optimization
17 Applied Mathematical Modelling
17 Nonlinear Analysis. Real World Applications
17 Mathematical Control and Related Fields
16 Mathematics and Computers in Simulation
15 Mathematical and Computer Modelling
15 SIAM Journal on Applied Mathematics
15 International Journal of Robust and Nonlinear Control
15 Mathematical Problems in Engineering
15 Inverse Problems in Science and Engineering
15 Communications in Computational Physics
14 International Journal of Control
13 Computational and Applied Mathematics
13 Mathematical Biosciences and Engineering
13 Evolution Equations and Control Theory
12 Mathematics of Computation
11 Journal of the Franklin Institute
11 Mathematical Biosciences
11 Optimal Control Applications & Methods
11 Journal of Mathematical Imaging and Vision
11 Engineering Analysis with Boundary Elements
11 Communications in Nonlinear Science and Numerical Simulation
11 Computational Methods in Applied Mathematics
10 Physica D
10 GAMM-Mitteilungen
9 Computer Physics Communications
9 Computational Mechanics
9 Journal of Integral Equations and Applications
9 Numerical Linear Algebra with Applications
9 European Journal of Control
9 Computational Geosciences
9 Optimization and Engineering
9 International Journal of Numerical Analysis and Modeling
9 Advances in Applied Mathematics and Mechanics
9 Asian Journal of Control
8 International Journal for Numerical Methods in Fluids
8 Journal of Mathematical Biology
8 Calcolo
8 Acta Applicandae Mathematicae
8 Computational Mathematics and Mathematical Physics
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Nonlinear Analysis. Theory, Methods & Applications
7 Journal of Engineering Mathematics
7 Journal of Fluid Mechanics
7 International Journal of Adaptive Control and Signal Processing
7 Applications of Mathematics
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 SIAM Journal on Mathematical Analysis
7 Computing and Visualization in Science
7 Vietnam Journal of Mathematics
7 Fractional Calculus & Applied Analysis
7 Differential Equations
7 Journal of Applied Mathematics and Computing
7 Journal of Biological Dynamics
7 East Asian Journal on Applied Mathematics
6 Quarterly of Applied Mathematics
6 MCSS. Mathematics of Control, Signals, and Systems
6 Discrete and Continuous Dynamical Systems
6 Abstract and Applied Analysis
6 Acta Numerica
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
...and 241 more Serials
all top 5

Cited in 45 Fields

1,569 Numerical analysis (65-XX)
1,124 Partial differential equations (35-XX)
928 Calculus of variations and optimal control; optimization (49-XX)
478 Fluid mechanics (76-XX)
401 Systems theory; control (93-XX)
321 Mechanics of deformable solids (74-XX)
299 Operations research, mathematical programming (90-XX)
176 Biology and other natural sciences (92-XX)
172 Optics, electromagnetic theory (78-XX)
120 Operator theory (47-XX)
119 Ordinary differential equations (34-XX)
94 Probability theory and stochastic processes (60-XX)
86 Statistical mechanics, structure of matter (82-XX)
85 Computer science (68-XX)
82 Information and communication theory, circuits (94-XX)
76 Statistics (62-XX)
55 Integral equations (45-XX)
55 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
40 Classical thermodynamics, heat transfer (80-XX)
31 Dynamical systems and ergodic theory (37-XX)
30 Functional analysis (46-XX)
28 Real functions (26-XX)
28 Approximations and expansions (41-XX)
28 Geophysics (86-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
20 Mechanics of particles and systems (70-XX)
13 Global analysis, analysis on manifolds (58-XX)
10 Integral transforms, operational calculus (44-XX)
10 Quantum theory (81-XX)
9 Potential theory (31-XX)
8 Special functions (33-XX)
5 Measure and integration (28-XX)
5 Functions of a complex variable (30-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 General and overarching topics; collections (00-XX)
4 Differential geometry (53-XX)
3 Difference and functional equations (39-XX)
3 Manifolds and cell complexes (57-XX)
2 Convex and discrete geometry (52-XX)
1 Combinatorics (05-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year