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Ito, Kazufumi

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 Author ID: ito.kazufumi Published as: Ito, K.; Ito, Kazufumi; Ito, Kuzufumi Homepage: http://www4.ncsu.edu/~kito/ External Links: MGP · ORCID · dblp · GND
 Documents Indexed: 212 Publications since 1983, including 6 Books
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Co-Authors

 17 single-authored 59 Kunisch, Karl 22 Fang, Weifu 16 Banks, Harvey Thomas 14 Li, Zhilin 12 Jin, Bangti 12 Kappel, Franz 8 Zou, Jun 7 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. 3 Clason, Christian 3 Demetriou, Michael A. 3 Qiao, Zhonghua 3 Redfern, David A. 3 Reitich, Fernando 3 Toivanen, J. A. 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 Powers, Robert K. 2 Propst, Georg 2 Scroggs, Jeffrey S. 2 Smith, Ralph C. 2 Teglas, Russell G. 2 Turi, Janos 2 Wan, Xiaohai 2 Zhang, Qin 1 Aihara, Kazuyuki 1 Arridge, Simon R. 1 Bergounioux, Maïtine 1 Busenberg, Stavros N. 1 Chellamuthu, Vinodh K. 1 Choi, M. G. 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 Hussein, A. E. A. 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 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 Nakagawa, J. M. 1 Nakagiri, Shin-ichi 1 Oostveen, Job C. 1 Peichl, Günter 1 Ramdani, Karim 1 Rosen, I. Gary 1 Rozovskii, Boris L. 1 Salamon, Dietmar Arno 1 Schroeter, J. D. 1 Schulz, Volker H. 1 Simon, Theresa M. 1 Singh, Suruchi 1 Singh, Swarn 1 Smith, Carol Joan 1 Tarn, Tzyh-Jong 1 Thibodeaux, Jeremy J. 1 Tucsnak, Marius 1 Wang, Chuyue 1 Wang, Yun 1 Xie, Hui 1 Xiong, Kaiqi 1 Yuan, Yuan 1 Zhang, Chen 1 Zhang, Qian 1 Zhang, Zhiyue
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Serials

 28 SIAM Journal on Control and Optimization 11 Inverse Problems 11 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 3 IEEE Transactions on Automatic Control 3 Journal of Computational and Applied Mathematics 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Scientific and Statistical Computing 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 Applicable Analysis 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 Applied Numerical Mathematics 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 Mathematical Biosciences and Engineering 1 Frontiers in Applied Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 Advances in Design and Control 1 Discrete and Continuous Dynamical Systems. Series S
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Fields

 86 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 46 Systems theory; control (93-XX) 28 Ordinary differential equations (34-XX) 26 Fluid mechanics (76-XX) 25 Operator theory (47-XX) 22 Operations research, mathematical programming (90-XX) 17 Optics, electromagnetic theory (78-XX) 13 Integral equations (45-XX) 10 Biology and other natural sciences (92-XX) 8 Mechanics of deformable solids (74-XX) 6 Probability theory and stochastic processes (60-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX)

Citations contained in zbMATH

183 Publications have been cited 2,860 times in 2,077 Documents Cited by Year
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
2003
Lagrange multiplier approach to variational problems and applications. Zbl 1156.49002
Ito, Kazufumi; Kunisch, Karl
2008
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
2006
Primal-dual strategy for constrained optimal control problems. Zbl 0937.49017
Bergounioux, Maïtine; Ito, Kazufumi; Kunisch, Karl
1999
A reduced-order method for simulation and control of fluid flows. Zbl 0936.76031
Ito, Kazufumi; Ravindran, S. S.
1998
Gaussian filters for nonlinear filtering problems. Zbl 0976.93079
Ito, Kazufumi; Xiong, Kaiqi
2000
Maximum principle preserving schemes for interface problems with discontinuous coefficients. Zbl 1001.65115
Li, Zhilin; Ito, Kazufumi
2001
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
2001
Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311
Ito, Kazufumi; Kunisch, Karl
2003
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
2003
Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces. Zbl 0971.49014
Ito, Kazufumi; Kunisch, Karl
2000
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2012
The augmented Lagrangian method for parameter estimation in elliptic systems. Zbl 0709.93021
Ito, Kazufumi; Kunisch, Karl
1990
Optimal controls of Navier-Stokes equations. Zbl 0813.35078
Desai, Mihir; Ito, Kazufumi
1994
Global solutions of the time-dependent drift-diffusion semiconductor equations. Zbl 0845.35050
Fang, Weifu; Ito, Kazufumi
1995
Optimal control of elliptic variational inequalities. Zbl 0960.49003
Ito, K.; Kunisch, K.
2000
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
2008
The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces. Zbl 0706.90096
Ito, K.; Kunisch, K.
1990
Exponentially stable approximations of weakly damped wave equations. Zbl 0850.93719
Banks, H. T.; Ito, Kazufumi; Wang, C.
1991
Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210
Ito, Kazufumi; Jin, Bangti
2015
Optimal control of thermally convected fluid flows. Zbl 0918.49004
Ito, Kazufumi; Ravindran, S. S.
1998
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
2007
Evolution equations and approximations. Zbl 1014.34045
Ito, Kazufumi; Kappel, Franz
2002
A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2013
Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
2006
An implicit finite difference scheme for the nonlinear size-structured population model. Zbl 0897.35006
Ackleh, Azmy S.; Ito, Kazufumi
1997
Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072
Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin
2003
Reduced basis method for optimal control of unsteady viscous flows. Zbl 1036.76011
Ito, Kazufumi; Ravindran, S. S.
2001
A reduced basis method for control problems governed by PDEs. Zbl 0908.93025
Ito, Kazufumi; Ravindran, S. S.
1998
Well posedness for damped second order systems with unbounded input operators. Zbl 0817.35014
Banks, H. T.; Ito, Kazufumi; Wang, Y.
1995
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints. Zbl 1077.90051
Ito, Kazufumi; Kunisch, Karl
2004
Optimal bilinear control of an abstract Schrödinger equation. Zbl 1136.35089
Ito, Kazufumi; Kunisch, Karl
2007
Receding horizon optimal control for infinite dimensional systems. Zbl 1066.49020
Ito, Kazufumi; Kunisch, Karl
2002
Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064
Ito, Kazufumi; Kunisch, Karl
2008
Optimal control formulation for determining optical flow. Zbl 1041.68103
Borzì, Alfio; Ito, Kazufumi; Kunisch, Karl
2002
Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors. Zbl 0884.34031
Fang, Weifu; Ito, Kazufumi
1997
An augmented Lagrangian technique for variational inequalities. Zbl 0692.49008
Ito, K.; Kunisch, K.
1990
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
2006
Measure-valued solutions for a hierarchically size-structured population. Zbl 1082.35049
Ackleh, Azmy S.; Ito, Kazufumi
2005
An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050
Ito, Kazufumi; Kunisch, Karl
1999
Augmented Lagrangian-SQP-methods in Hilbert spaces and application to control in the coefficients problems. Zbl 0846.65026
Ito, Kazufumi; Kunisch, Karl
1996
On the time-dependent drift-diffusion model for semiconductors. Zbl 0835.35139
Fang, Weifu; Ito, Kazufumi
1995
A fully discretized approximation scheme for size-structured population models. Zbl 0732.92019
Ito, K.; Kappel, F.; Peichl, G.
1991
A fully-discrete spectral method for delay-differential equations. Zbl 0731.65055
Ito, Kazufumi; Tran, H. T.; Manitius, A.
1991
A linear quadratic optimal control for neutral systems. Zbl 0585.93036
Ito, Kazufumi; Tarn, T. J.
1985
Optimal control of parabolic variational inequalities. Zbl 1247.35062
Ito, Kazufumi; Kunisch, Karl
2010
A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. Zbl 1143.76044
Ito, Kazufumi; Qiao, Zhonghua
2008
The Trotter-Kato theorem and approximation of PDEs. Zbl 0893.47025
Ito, Kazufumi; Kappel, Franz
1998
Augmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type. Zbl 0860.49023
Ito, Kazufumi; Kunisch, Karl
1996
Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation. Zbl 0790.49028
Ito, K.; Kunisch, K.
1992
A numerical algorithm for optimal feedback gains in high dimensional linear quadratic regulator problems. Zbl 0736.65043
Banks, H. T.; Ito, Kazufumi
1991
On nonconvergence of adjoint semigroups for control systems with delays. Zbl 0661.93038
Burns, John; Ito, Kazufumi; Propst, Georg
1988
On the shape derivative for problems of Bernoulli type. Zbl 1178.49055
Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G.
2009
Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004
Ito, Kazufumi; Kunisch, Karl
2006
Numerical methods for a class of singular integro-differential equations based on semigroup approximation. Zbl 0744.65103
Ito, Kazufumi; Turi, Janos
1991
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
1984
Lagrange multiplier approach with optimized finite difference stencils for pricing American options under stochastic volatility. Zbl 1201.35024
Ito, Kazufumi; Toivanen, Jari
2009
A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
2016
A direct sampling method for electrical impedance tomography. Zbl 1301.35210
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
2014
Multi-parameter Tikhonov regularization. Zbl 1285.65032
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
A time reversal based algorithm for solving initial data inverse problems. Zbl 1209.35153
Ito, Kazufumi; Ramdani, Karim; Tucsnak, Marius
2011
Semismooth Newton methods for time-optimal control for a class of ODEs. Zbl 1202.49041
Ito, Kazufumi; Kunisch, Karl
2010
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
2005
Asymptotic properties of receding horizon optimal control problems. Zbl 1031.49033
Ito, Kazufumi; Kunisch, Karl
2002
Approximation of the Kushner equation for nonlinear filtering. Zbl 0952.93126
Ito, Kazufumi; Rozovskii, Boris
2000
Approximation in LQR problems for infinite dimensional systems with unbounded input operators. Zbl 0894.93023
Banks, H. T.; Ito, Kazufumi
1997
Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors. Zbl 0876.35114
Fang, Weifu; Ito, Kazufumi
1997
On the injectivity and linearization of the coefficient-to-solution mapping for elliptic boundary value problems. Zbl 0817.35021
Ito, K.; Kunisch, K.
1994
A dissipative feedback control synthesis for systems arising in fluid dynamics. Zbl 0806.49005
Ito, Kazufumi; Kang, Sungkwon
1994
Direct sampling method for diffusive optical tomography. Zbl 1320.65195
Chow, Yat Tin; Ito, Kazufumi; Liu, Keji; Zou, Jun
2015
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
2009
A uniformly differentiable approximation scheme for delay systems using splines. Zbl 0738.65055
Ito, K.; Kappel, F.
1991
A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070
Ito, Kazufumi; Kunisch, Karl
2014
On a semi-smooth Newton method and its globalization. Zbl 1164.65018
Ito, Kazufumi; Kunisch, Karl
2009
A domain decomposition solver for acoustic scattering by elastic objects in layered media. Zbl 1145.74038
Ito, Kazufumi; Qiao, Zhonghua; Toivanen, Jari
2008
Preconditioned iterative methods on sparse subspaces. Zbl 1176.65030
Ito, Kazufumi; Toivanen, Jari
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.
2006
Reduced order feedback synthesis for viscous incompressible flows. Zbl 0967.93013
Ito, Kazufumi; Schroeter, J. D.
2001
Approximation of the Zakai equation for nonlinear filtering. Zbl 0847.93061
Ito, Kazufumi
1996
Asymptotic behavior of the drift-diffusion semiconductor equations. Zbl 0845.35051
Fang, Weifu; Ito, Kazufumi
1995
Legendre-tau approximations for functional differential equations. Zbl 0615.65085
Ito, Kazufumi; Teglas, Russell
1986
A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
Simulations of particle dynamics in magnetorheological fluids. Zbl 0953.76063
Ly, H. V.; Reitich, F.; Jolly, M. R.; Banks, H. T.; Ito, K.
1999
Modeling and analysis of laser-beam-induced current images in semiconductors. Zbl 0772.35072
Busenberg, Stavros; Fang, Weifu; Ito, Kazufumi
1993
Finite-dimensional compensators for infinite-dimensional systems via Galerkin-type approximation. Zbl 0733.93031
Ito, Kazufumi
1990
Optimal control with $$L^p(\Omega)$$, $$p\in [0,1)$$, control cost. Zbl 1306.49010
Ito, Kazufumi; Kunisch, Karl
2014
Optimal control of obstacle problems by $$H^{1}$$-obstacles. Zbl 1125.49018
Ito, Kazufumi; Kunisch, Karl
2007
An optimal control approach to optical flow computation. Zbl 1018.68088
Borzì, A.; Ito, K.; Kunisch, K.
2002
BV-type regularization methods for convoluted objects with edge, flat and grey scales. Zbl 0981.65149
Ito, Kazufumi; Kunisch, Karl
2000
Estimation of the convection in elliptic equations. Zbl 0886.35170
Ito, Kazufumi; Kunisch, Karl
1997
A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063
Ito, Kazufumi; Jin, Bangti
2011
A fast iterative solver for scattering by elastic objects in layered media. Zbl 1112.76047
Ito, Kazufumi; Toivanen, J.
2007
Existence of stationary solutions to an energy drift-diffusion model for semiconductor devices. Zbl 1012.82028
Fang, Weifu; Ito, Kazufumi
2001
A high-order perturbation approach to profile reconstruction. I: Perfectly conducting gratings. Zbl 0935.35175
Ito, Kazufumi; Reitich, Fernando
1999
An approximation theory of solutions to operator Riccati equations for $$H^\infty$$ control. Zbl 0926.93018
Ito, Kazufumi; Morris, K. A.
1998
Variational formulation of optimal damping designs. Zbl 0931.49019
Fahroo, F.; Ito, K.
1997
Augmented Lagrangian formulation of nonsmooth convex optimization in Hilbert spaces. Zbl 0876.49028
Ito, Kazufumi; Kunisch, Karl
1996
Identifiability of semiconductor defects from LBIC images. Zbl 0766.35075
Fang, Weifu; Ito, Kazufumi
1992
On the choice of the regularization parameter in nonlinear inverse problems. Zbl 0766.65109
Ito, K.; Kunisch, K.
1992
A numerical study of an augmented Lagrangian method for the estimation of parameters in elliptic systems. Zbl 0728.65100
Ito, K.; Kroller, M.; Kunisch, K.
1991
Variational Gaussian approximation for Poisson data. Zbl 1433.62043
Arridge, Simon R.; Ito, Kazufumi; Jin, Bangti; Zhang, Chen
2018
A time-dependent direct sampling method for recovering moving potentials in a heat equation. Zbl 06932075
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
2018
A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
2016
On a Legendre tau method for fractional boundary value problems with a Caputo derivative. Zbl 1338.65196
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2016
A sequential method for a class of stable mathematical programming problems. Zbl 1382.65178
Ito, Kazufumi; Kunisch, Karl
2016
Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210
Ito, Kazufumi; Jin, Bangti
2015
Direct sampling method for diffusive optical tomography. Zbl 1320.65195
Chow, Yat Tin; Ito, Kazufumi; Liu, Keji; Zou, Jun
2015
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue
2015
On the sectorial property of the Caputo derivative operator. Zbl 1371.34124
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
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
2015
A direct sampling method for electrical impedance tomography. Zbl 1301.35210
Chow, Yat Tin; Ito, Kazufumi; Zou, Jun
2014
A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070
Ito, Kazufumi; Kunisch, Karl
2014
Optimal control with $$L^p(\Omega)$$, $$p\in [0,1)$$, control cost. Zbl 1306.49010
Ito, Kazufumi; Kunisch, Karl
2014
A note on the existence of nonsmooth nonconvex optimization problems. Zbl 1307.49007
Ito, Kazufumi; Kunisch, Karl
2014
Multi-parameter Tikhonov regularization – an augmented approach. Zbl 1309.65065
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2014
A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2013
Recovery of inclusions in 2D and 3D domains for Poisson’s equation. Zbl 1278.65170
Ito, Kazufumi; Liu, Ji-Chuan
2013
Optimal control laws for traffic flow. Zbl 1262.90034
Aihara, K.; Ito, Kazufumi; Nakagawa, J.; Takeuchi, T.
2013
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2012
A minimum effort optimal control problem for elliptic PDEs. Zbl 1270.49023
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
2012
Multi-parameter Tikhonov regularization. Zbl 1285.65032
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
A time reversal based algorithm for solving initial data inverse problems. Zbl 1209.35153
Ito, Kazufumi; Ramdani, Karim; Tucsnak, Marius
2011
A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063
Ito, Kazufumi; Jin, Bangti
2011
Karush-Kuhn-Tucker conditions for nonsmooth mathematical programming problems in function spaces. Zbl 1234.49021
Ito, Kazufumi; Kunisch, Karl
2011
Minimal effort problems and their treatment by semismooth Newton methods. Zbl 1234.49017
Ito, Kazufumi; Kunisch, Karl
2011
A new choice rule for regularization parameters in Tikhonov regularization. Zbl 1228.65082
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2011
Minimal invasion: an optimal $$L{^\infty}$$ state constraint problem. Zbl 1269.65060
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
2011
Novel concepts for nonsmooth optimization and their impact on science and technology. Zbl 1231.35278
Ito, Kazufumi; Kunisch, Karl
2011
Optimal control of parabolic variational inequalities. Zbl 1247.35062
Ito, Kazufumi; Kunisch, Karl
2010
Semismooth Newton methods for time-optimal control for a class of ODEs. Zbl 1202.49041
Ito, Kazufumi; Kunisch, Karl
2010
Approximate nullspace iterations for KKT systems. Zbl 1203.65091
Ito, Kazufumi; Kunisch, Karl; Schulz, Volker; Gherman, Ilia
2010
On the shape derivative for problems of Bernoulli type. Zbl 1178.49055
Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G.
2009
Lagrange multiplier approach with optimized finite difference stencils for pricing American options under stochastic volatility. Zbl 1201.35024
Ito, Kazufumi; Toivanen, Jari
2009
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
2009
On a semi-smooth Newton method and its globalization. Zbl 1164.65018
Ito, Kazufumi; Kunisch, Karl
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.
2009
Asymptotic properties of feedback solutions for a class of quantum control problems. Zbl 1203.93041
Ito, Kazufumi; Kunisch, Karl
2009
Lagrange multiplier approach to variational problems and applications. Zbl 1156.49002
Ito, Kazufumi; Kunisch, Karl
2008
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
2008
Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064
Ito, Kazufumi; Kunisch, Karl
2008
A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. Zbl 1143.76044
Ito, Kazufumi; Qiao, Zhonghua
2008
A domain decomposition solver for acoustic scattering by elastic objects in layered media. Zbl 1145.74038
Ito, Kazufumi; Qiao, Zhonghua; Toivanen, Jari
2008
Reduced-order optimal control based on approximate inertial manifolds for nonlinear dynamical systems. Zbl 1178.93033
Ito, Kazufumi; Kunisch, Karl
2008
A finite element method for interface problems with locally modified triangulations. Zbl 1306.65279
Xie, Hui; Ito, Kazufumi; Li, Zhilin; Toivanen, Jari
2008
A high order finite difference scheme for the Stokes equations. Zbl 1306.76031
Ito, Kazufumi; Qiao, Zhonghua
2008
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
2007
Optimal bilinear control of an abstract Schrödinger equation. Zbl 1136.35089
Ito, Kazufumi; Kunisch, Karl
2007
Optimal control of obstacle problems by $$H^{1}$$-obstacles. Zbl 1125.49018
Ito, Kazufumi; Kunisch, Karl
2007
A fast iterative solver for scattering by elastic objects in layered media. Zbl 1112.76047
Ito, Kazufumi; Toivanen, J.
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.
2007
Applications of semi-smooth Newton methods to variational inequalities. Zbl 1239.49040
Ito, Kazufumi; Kunisch, Karl
2007
Convergence of the primal-dual active set strategy for diagonally dominant systems. Zbl 1354.49065
Ito, Kazufumi; Kunisch, Karl
2007
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
2006
Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
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
2006
Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004
Ito, Kazufumi; Kunisch, Karl
2006
Preconditioned iterative methods on sparse subspaces. Zbl 1176.65030
Ito, Kazufumi; Toivanen, Jari
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.
2006
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Zbl 1096.76014
Ito, Kazufumi; Li, Zhilin
2006
Reduced order control based on approximate inertial manifolds. Zbl 1105.93018
Ito, Kazufumi; Kunisch, Karl
2006
Receding horizon control with incomplete observations. Zbl 1110.49032
Ito, Kazufumi; Kunisch, Karl
2006
Material surface design to counter electromagnetic interrogation of targets. Zbl 1099.78007
Banks, H. T.; Ito, Kazufumi; Kepler, G. M.; Toivanen, J. A.
2006
Pressure jump conditions for Stokes equations with discontinuous viscosity in 2D and 3D. Zbl 1142.76022
Ito, Kuzufumi; Li, Zhilin; Wan, Xiaohai
2006
Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings. Zbl 1114.78313
Banks, H. T.; Ito, Kazufumi; Toivanen, J.
2006
Measure-valued solutions for a hierarchically size-structured population. Zbl 1082.35049
Ackleh, Azmy S.; Ito, Kazufumi
2005
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
2005
A method for determination of optimal gaits with application to a snake-like serial-link structure. Zbl 1365.70036
Hicks, Gregory; Ito, Kazufumi
2005
An optimal optical flow. Zbl 1111.60047
Ito, Kazufumi
2005
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints. Zbl 1077.90051
Ito, Kazufumi; Kunisch, Karl
2004
LBIC imaging of semiconductor arrays: the cross-sectional model. Zbl 1059.82538
Fang, Weifu; Ito, K.; Redfern, D. A.
2004
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
2003
Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311
Ito, Kazufumi; Kunisch, Karl
2003
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
2003
Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072
Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin
2003
Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method. Zbl 1039.76051
Ito, Kazufumi; Li, Zhilin
2003
Identification of contact regions in semiconductor transistors by level-set methods. Zbl 1030.80002
Fang, Weifu; Ito, Kazufumi
2003
Adaptive compresators for perturbed positive real infinite-dimensional systems. Zbl 1051.93051
Curtain, Ruth F.; Demetriou, Michael A.; Ito, Kazufumi
2003
Evolution equations and approximations. Zbl 1014.34045
Ito, Kazufumi; Kappel, Franz
2002
Receding horizon optimal control for infinite dimensional systems. Zbl 1066.49020
Ito, Kazufumi; Kunisch, Karl
2002
Optimal control formulation for determining optical flow. Zbl 1041.68103
Borzì, Alfio; Ito, Kazufumi; Kunisch, Karl
2002
Asymptotic properties of receding horizon optimal control problems. Zbl 1031.49033
Ito, Kazufumi; Kunisch, Karl
2002
An optimal control approach to optical flow computation. Zbl 1018.68088
Borzì, A.; Ito, K.; Kunisch, K.
2002
Parameter identification for semiconductor diodes by LBIC imaging. Zbl 1010.35116
Fang, Weifu; Ito, Kazufumi; Redfern, David A.
2002
Optimal control of the solid fuel ignition model with $$H^{1}$$-cost. Zbl 1028.49032
Ito, Kazufumi; Kunisch, Karl
2002
On the regularization and approximation of saddle point problems without inf-sup condition. Zbl 1348.49006
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther
2002
Maximum principle preserving schemes for interface problems with discontinuous coefficients. Zbl 1001.65115
Li, Zhilin; Ito, Kazufumi
2001
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
2001
Reduced basis method for optimal control of unsteady viscous flows. Zbl 1036.76011
Ito, Kazufumi; Ravindran, S. S.
2001
Reduced order feedback synthesis for viscous incompressible flows. Zbl 0967.93013
Ito, Kazufumi; Schroeter, J. D.
2001
Existence of stationary solutions to an energy drift-diffusion model for semiconductor devices. Zbl 1012.82028
Fang, Weifu; Ito, Kazufumi
2001
Identification of some source densities of the distribution type. Zbl 0997.65144
Ito, Kazufumi; Zou, Jun
2001
The effective magnetic properties of magnetorheological fluids. Zbl 0977.76095
Simon, T. M.; Reitich, F.; Jolly, M. R.; Ito, K.; Banks, H. T.
2001
Existence of solutions to the Hamilton-Jacobi-Bellman equation under quadratic growth conditions. Zbl 0997.35009
Ito, Kazufumi
2001
An electrochemistry model with nonlinear diffusion: Steady-state solutions. Zbl 0976.92035
Fang, Weifu; Ito, Kazufumi
2001
Existence and uniqueness of steady-state solutions for an electrochemistry model. Zbl 0971.45007
Fang, Weifu; Ito, Kazufumi
2001
Gaussian filters for nonlinear filtering problems. Zbl 0976.93079
Ito, Kazufumi; Xiong, Kaiqi
2000
Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces. Zbl 0971.49014
Ito, Kazufumi; Kunisch, Karl
2000
Optimal control of elliptic variational inequalities. Zbl 0960.49003
Ito, K.; Kunisch, K.
2000
Approximation of the Kushner equation for nonlinear filtering. Zbl 0952.93126
Ito, Kazufumi; Rozovskii, Boris
2000
...and 83 more Documents
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Cited by 2,938 Authors

 82 Kunisch, Karl 66 Ito, Kazufumi 38 Li, Zhilin 28 Hintermüller, Michael 23 Jin, Bangti 20 Banks, Harvey Thomas 19 Volkwein, Stefan 19 Zou, Jun 18 Clason, Christian 18 Wohlmuth, Barbara I. 17 Ackleh, Azmy S. 17 Benner, Peter 17 Rösch, Arnd 16 Hinze, Michael 16 Stoll, Martin 16 Tröltzsch, Fredi 14 Borzì, Alfio 14 Lin, Tao 14 Wachsmuth, Daniel 13 Fang, Weifu 13 Herzog, Roland 13 Khan, Akhtar Ali 13 Rozza, Gianluigi 12 Brenner, Susanne Cecelia 12 Gudi, Thirupathi 12 Lai, Mingchih 12 Yousept, Irwin 11 De los Reyes, Juan Carlos 11 Kovtunenko, Viktor Anatolievich 11 Sama, Miguel 11 Wei, Guowei 10 Angulo, Oscar 9 Burns, John A. 9 Klibanov, Michael V. 9 Li, Yeping 9 Lin, Yanping 9 López-Marcos, Juan Carlos 9 Lu, Xiliang 9 Manzoni, Andrea 9 Meyer, Christian 9 Popp, Alexander 9 Tai, Xuecheng 9 Wall, Wolfgang A. 9 Yan, Ningning 8 Deng, Keng 8 Jadamba, Baasansuren 8 Kanzow, Christian 8 Kappel, Franz 8 Li, Xiaolin 8 Morris, Kirsten A. 8 Neitzel, Ira 8 Park, Won-Kwang 8 Patera, Anthony T. 8 Pinnau, René 8 Toivanen, Jari 8 Trélat, Emmanuel 8 Ulbrich, Michael 7 Alekseev, Gennady V. 7 Ammari, Habib M. 7 Bredies, Kristian 7 Chen, Jinru 7 Gong, Wei 7 Harbrecht, Helmut 7 Ji, Haifeng 7 Jüngel, Ansgar 7 Laurain, Antoine 7 Liu, Keji 7 Pearson, John W. 7 Ravindran, Sivaguru S. 7 Saritskaya, Zhanna Yur’evna 7 Sung, Li-Yeng 7 Thibodeaux, Jeremy J. 7 Yang, Haijian 7 Zhang, Kaijun 7 Zhang, Liwei 7 Zhang, Qian 7 Zhang, Zhiyue 7 Zuazua, Enrique 6 Blank, Luise 6 Demetriou, Michael A. 6 Ervedoza, Sylvain 6 Feng, Binhua 6 Grepl, Martin A. 6 Hou, Songming 6 Kalise, Dante 6 Kaltenbacher, Barbara 6 Koko, Jonas 6 Kröner, Axel 6 Liu, Jun 6 Ma, Baoling 6 Mang, Andreas 6 Münch, Arnaud 6 Nguyen, Dinh Liem 6 Prüfert, Uwe 6 Salomon, Julien 6 Scherzer, Otmar 6 Sturm, Kevin 6 Surowiec, Thomas 6 Tan, Zhijun 6 Veroy, Karen ...and 2,838 more Authors
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Cited in 277 Serials

 149 Journal of Computational Physics 69 Journal of Computational and Applied Mathematics 62 Computational Optimization and Applications 59 Computers & Mathematics with Applications 56 Journal of Scientific Computing 55 Computer Methods in Applied Mechanics and Engineering 53 SIAM Journal on Control and Optimization 49 Journal of Mathematical Analysis and Applications 49 SIAM Journal on Scientific Computing 43 Automatica 41 Journal of Optimization Theory and Applications 39 Applied Mathematics and Computation 38 Numerical Functional Analysis and Optimization 37 Inverse Problems 37 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Numerische Mathematik 36 Applied Numerical Mathematics 26 International Journal for Numerical Methods in Engineering 25 Systems & Control Letters 25 Optimization Methods & Software 23 Journal of Differential Equations 23 SIAM Journal on Numerical Analysis 23 Applied Mathematics Letters 22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 Computers and Fluids 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Journal of Inverse and Ill-Posed Problems 20 Advances in Computational Mathematics 19 Applied Mathematics and Optimization 18 Numerical Methods for Partial Differential Equations 17 Applicable Analysis 15 Mathematical and Computer Modelling 15 SIAM Journal on Optimization 14 Mathematical Problems in Engineering 13 Mathematical Methods in the Applied Sciences 13 Optimization 13 Numerical Algorithms 13 Mathematical Programming. Series A. Series B 12 International Journal of Control 12 Applied Mathematical Modelling 12 Nonlinear Analysis. Real World Applications 11 International Journal of Computer Mathematics 11 Inverse Problems and Imaging 11 SIAM Journal on Imaging Sciences 10 Journal of the Franklin Institute 10 Mathematical Biosciences 10 SIAM Journal on Applied Mathematics 9 Mathematics of Computation 9 Journal of Integral Equations and Applications 9 Inverse Problems in Science and Engineering 8 Computational Geosciences 8 Computational Methods in Applied Mathematics 8 Mathematical Biosciences and Engineering 8 Asian Journal of Control 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Engineering Mathematics 7 Optimal Control Applications & Methods 7 Acta Applicandae Mathematicae 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Mathematical Imaging and Vision 7 Computing and Visualization in Science 7 Vietnam Journal of Mathematics 7 GAMM-Mitteilungen 7 Journal of Biological Dynamics 6 Journal of Mathematical Biology 6 Mathematics and Computers in Simulation 6 Quarterly of Applied Mathematics 6 Physica D 6 Applications of Mathematics 6 Engineering Analysis with Boundary Elements 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 6 Mathematical Control and Related Fields 6 Evolution Equations and Control Theory 5 International Journal for Numerical Methods in Fluids 5 Journal of Fluid Mechanics 5 Calcolo 5 Computing 5 Journal of Functional Analysis 5 Kybernetika 5 Computational Mechanics 5 MCSS. Mathematics of Control, Signals, and Systems 5 International Journal of Adaptive Control and Signal Processing 5 Computational Mathematics and Mathematical Physics 5 Numerical Linear Algebra with Applications 5 European Journal of Control 5 International Journal of Applied Mathematics and Computer Science 5 Advances in Difference Equations 5 Journal of Theoretical Biology 5 East Asian Journal on Applied Mathematics 4 Computer Physics Communications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Zeitschrift für Analysis und ihre Anwendungen 4 Circuits, Systems, and Signal Processing 4 Applied Mathematics and Mechanics. (English Edition) 4 Journal of Global Optimization 4 Linear Algebra and its Applications 4 SIAM Journal on Mathematical Analysis 4 International Journal of Computational Fluid Dynamics ...and 177 more Serials
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Cited in 41 Fields

 1,050 Numerical analysis (65-XX) 738 Partial differential equations (35-XX) 683 Calculus of variations and optimal control; optimization (49-XX) 332 Fluid mechanics (76-XX) 298 Systems theory; control (93-XX) 210 Mechanics of deformable solids (74-XX) 197 Operations research, mathematical programming (90-XX) 133 Biology and other natural sciences (92-XX) 110 Optics, electromagnetic theory (78-XX) 100 Ordinary differential equations (34-XX) 85 Operator theory (47-XX) 70 Probability theory and stochastic processes (60-XX) 66 Statistical mechanics, structure of matter (82-XX) 66 Information and communication theory, circuits (94-XX) 45 Computer science (68-XX) 41 Integral equations (45-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Classical thermodynamics, heat transfer (80-XX) 35 Statistics (62-XX) 25 Dynamical systems and ergodic theory (37-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 Functional analysis (46-XX) 16 Geophysics (86-XX) 15 Approximations and expansions (41-XX) 10 Real functions (26-XX) 10 Mechanics of particles and systems (70-XX) 9 Integral transforms, operational calculus (44-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Special functions (33-XX) 6 Quantum theory (81-XX) 4 Potential theory (31-XX) 3 Functions of a complex variable (30-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX)