Edit Profile (opens in new tab) Ito, Kazufumi Co-Author Distance Author ID: ito.kazufumi Published as: Ito, Kazufumi; Ito, K.; Ito, Kuzufumi; Itoi, K. more...less Homepage: http://www4.ncsu.edu/~kito/ External Links: MGP · ORCID · dblp · GND Documents Indexed: 228 Publications since 1983, including 5 Books and 12 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 102 Co-Authors with 208 Joint Publications 3,309 Co-Co-Authors 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 Humber, Cary 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 Bouton, Chad 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 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 ...and 2 more Co-Authors all top 5 Serials 28 SIAM Journal on Control and Optimization 12 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 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 all top 5 Fields 96 Numerical analysis (65-XX) 77 Partial differential equations (35-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 46 Systems theory; control (93-XX) 29 Ordinary differential equations (34-XX) 27 Fluid mechanics (76-XX) 26 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) 7 Probability theory and stochastic processes (60-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Quantum theory (81-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 192 Publications have been cited 3,725 times in 2,744 Documents Cited by ▼ Year ▼ The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074 Hintermüller, M.; Ito, K.; Kunisch, K. 419 2003 Lagrange multiplier approach to variational problems and applications. Zbl 1156.49002 Ito, Kazufumi; Kunisch, Karl 267 2008 The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096 Li, Zhilin; Ito, Kazufumi 185 2006 Primal-dual strategy for constrained optimal control problems. Zbl 0937.49017 Bergounioux, Maïtine; Ito, Kazufumi; Kunisch, Karl 138 1999 Gaussian filters for nonlinear filtering problems. Zbl 0976.93079 Ito, Kazufumi; Xiong, Kaiqi 95 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 Level-set function approach to an inverse interface problem. Zbl 0986.35130 Ito, Kazufumi; Kunisch, Karl; Li, Zhilin 72 2001 A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025 Ito, Kazufumi; Jin, Bangti; Zou, Jun 71 2012 Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311 Ito, Kazufumi; Kunisch, Karl 65 2003 Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210 Ito, Kazufumi; Jin, Bangti 64 2015 Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007 Ito, Kazufumi; Kunisch, Karl 55 2003 Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces. Zbl 0971.49014 Ito, Kazufumi; Kunisch, Karl 53 2000 Optimal control of elliptic variational inequalities. Zbl 0960.49003 Ito, K.; Kunisch, K. 50 2000 The augmented Lagrangian method for parameter estimation in elliptic systems. Zbl 0709.93021 Ito, Kazufumi; Kunisch, Karl 47 1990 A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008 Ito, Kazufumi; Jin, Bangti; Zou, Jun 44 2013 The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces. Zbl 0706.90096 Ito, K.; Kunisch, K. 43 1990 Optimal controls of Navier-Stokes equations. Zbl 0813.35078 Desai, Mihir; Ito, Kazufumi 43 1994 An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291 Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih 42 2007 Variational approach to shape derivatives. Zbl 1357.49148 Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H. 42 2008 Exponentially stable approximations of weakly damped wave equations. Zbl 0850.93719 Banks, H. T.; Ito, Kazufumi; Wang, C. 41 1991 Global solutions of the time-dependent drift-diffusion semiconductor equations. Zbl 0845.35050 Fang, W. F.; Ito, K. 39 1995 Optimal control of thermally convected fluid flows. Zbl 0918.49004 Ito, Kazufumi; Ravindran, S. S. 34 1998 Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028 Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H. 34 2006 Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072 Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin 34 2003 Evolution equations and approximations. Zbl 1014.34045 Ito, Kazufumi; Kappel, Franz 33 2002 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 29 2004 A direct sampling method for electrical impedance tomography. Zbl 1301.35210 Chow, Yat Tin; Ito, Kazufumi; Zou, Jun 29 2014 An implicit finite difference scheme for the nonlinear size-structured population model. Zbl 0897.35006 Ackleh, Azmy S.; Ito, Kazufumi 28 1997 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 Well posedness for damped second order systems with unbounded input operators. Zbl 0817.35014 Banks, H. T.; Ito, Kazufumi; Wang, Y. 26 1995 A reduced basis method for control problems governed by PDEs. Zbl 0908.93025 Ito, Kazufumi; Ravindran, S. S. 25 1998 Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064 Ito, Kazufumi; Kunisch, Karl 25 2008 Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors. Zbl 0884.34031 Fang, Weifu; Ito, Kazufumi 25 1997 Optimal control of parabolic variational inequalities. Zbl 1247.35062 Ito, Kazufumi; Kunisch, Karl 24 2010 Direct sampling method for diffusive optical tomography. Zbl 1320.65195 Chow, Yat Tin; Ito, Kazufumi; Liu, Keji; Zou, Jun 24 2015 An augmented Lagrangian technique for variational inequalities. Zbl 0692.49008 Ito, K.; Kunisch, K. 23 1990 Optimal control with \(L^p(\Omega)\), \(p\in [0,1)\), control cost. Zbl 1306.49010 Ito, Kazufumi; Kunisch, Karl 23 2014 Receding horizon optimal control for infinite dimensional systems. Zbl 1066.49020 Ito, Kazufumi; Kunisch, Karl 23 2002 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 On the time-dependent drift-diffusion model for semiconductors. Zbl 0835.35139 Fang, W. F.; Itoi, K. 20 1995 An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050 Ito, Kazufumi; Kunisch, Karl 20 1999 Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004 Ito, Kazufumi; Kunisch, Karl 20 2006 A fully-discrete spectral method for delay-differential equations. Zbl 0731.65055 Ito, Kazufumi; Tran, H. T.; Manitius, A. 20 1991 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 Measure-valued solutions for a hierarchically size-structured population. Zbl 1082.35049 Ackleh, Azmy S.; Ito, Kazufumi 19 2005 Multi-parameter Tikhonov regularization. Zbl 1285.65032 Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 19 2011 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 The Trotter-Kato theorem and approximation of PDEs. Zbl 0893.47025 Ito, Kazufumi; Kappel, Franz 18 1998 On the shape derivative for problems of Bernoulli type. Zbl 1178.49055 Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G. 18 2009 A linear quadratic optimal control for neutral systems. Zbl 0585.93036 Ito, Kazufumi; Tarn, T. J. 18 1985 A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. Zbl 1143.76044 Ito, Kazufumi; Qiao, Zhonghua 18 2008 Augmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type. Zbl 0860.49023 Ito, Kazufumi; Kunisch, Karl 17 1996 A fully discretized approximation scheme for size-structured population models. Zbl 0732.92019 Ito, K.; Kappel, F.; Peichl, G. 17 1991 Estimation of the convection in elliptic equations. Zbl 0886.35170 Ito, Kazufumi; Kunisch, Karl 17 1997 Lagrange multiplier approach with optimized finite difference stencils for pricing American options under stochastic volatility. Zbl 1201.35024 Ito, Kazufumi; Toivanen, Jari 17 2009 On nonconvergence of adjoint semigroups for control systems with delays. Zbl 0661.93038 Burns, John; Ito, Kazufumi; Propst, Georg 16 1988 A numerical algorithm for optimal feedback gains in high dimensional linear quadratic regulator problems. Zbl 0736.65043 Banks, H. T.; Ito, Kazufumi 16 1991 Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors. Zbl 0876.35114 Fang, Weifu; Ito, Kazufumi 16 1997 Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638 Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue 16 2015 Semismooth Newton methods for time-optimal control for a class of ODEs. Zbl 1202.49041 Ito, Kazufumi; Kunisch, Karl 16 2010 A time reversal based algorithm for solving initial data inverse problems. Zbl 1209.35153 Ito, Kazufumi; Ramdani, Karim; Tucsnak, Marius 15 2011 Approximation in LQR problems for infinite dimensional systems with unbounded input operators. Zbl 0894.93023 Banks, H. T.; Ito, Kazufumi 15 1997 A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054 Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 15 2011 On a semi-smooth Newton method and its globalization. Zbl 1164.65018 Ito, Kazufumi; Kunisch, Karl 15 2009 A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056 Clason, Christian; Ito, Kazufumi; Kunisch, Karl 15 2016 A domain decomposition solver for acoustic scattering by elastic objects in layered media. Zbl 1145.74038 Ito, Kazufumi; Qiao, Zhonghua; Toivanen, Jari 15 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 14 1984 Numerical methods for a class of singular integro-differential equations based on semigroup approximation. Zbl 0744.65103 Ito, Kazufumi; Turi, Janos 14 1991 A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070 Ito, Kazufumi; Kunisch, Karl 14 2014 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 uniformly differentiable approximation scheme for delay systems using splines. Zbl 0738.65055 Ito, K.; Kappel, F. 13 1991 Asymptotic behavior of the drift-diffusion semiconductor equations. Zbl 0845.35051 Fang, W. F.; Ito, K. 12 1995 Asymptotic properties of receding horizon optimal control problems. Zbl 1031.49033 Ito, Kazufumi; Kunisch, Karl 12 2002 On the injectivity and linearization of the coefficient-to-solution mapping for elliptic boundary value problems. Zbl 0817.35021 Ito, K.; Kunisch, K. 12 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 Legendre-tau approximations for functional differential equations. Zbl 0615.65085 Ito, Kazufumi; Teglas, Russell 12 1986 A dissipative feedback control synthesis for systems arising in fluid dynamics. Zbl 0806.49005 Ito, Kazufumi; Kang, Sungkwon 12 1994 An augmented approach for the pressure boundary condition in a Stokes flow. Zbl 1115.76373 Li, Z.; Wan, X.; Ito, Kazufumi; Lubkin, S. R. 11 2006 A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063 Ito, Kazufumi; Jin, Bangti 11 2011 Reduced order feedback synthesis for viscous incompressible flows. Zbl 0967.93013 Ito, Kazufumi; Schroeter, J. D. 11 2001 A time-dependent direct sampling method for recovering moving potentials in a heat equation. Zbl 1471.35326 Chow, Yat Tin; Ito, Kazufumi; Zou, Jun 11 2018 Optimal control of obstacle problems by \(H^{1}\)-obstacles. Zbl 1125.49018 Ito, Kazufumi; Kunisch, Karl 10 2007 A high-order perturbation approach to profile reconstruction. I: Perfectly conducting gratings. Zbl 0935.35175 Ito, Kazufumi; Reitich, Fernando 10 1999 An approximation theory of solutions to operator Riccati equations for \(H^\infty\) control. Zbl 0926.93018 Ito, Kazufumi; Morris, K. A. 10 1998 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 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 Finite-dimensional compensators for infinite-dimensional systems via Galerkin-type approximation. Zbl 0733.93031 Ito, Kazufumi 9 1990 Modeling and analysis of laser-beam-induced current images in semiconductors. Zbl 0772.35072 Busenberg, Stavros; Fang, Weifu; Ito, Kazufumi 9 1993 Approximation of infinite delay and Volterra type equations. Zbl 0662.65117 Ito, K.; Kappel, F. 8 1989 BV-type regularization methods for convoluted objects with edge, flat and grey scales. Zbl 0981.65149 Ito, Kazufumi; Kunisch, Karl 8 2000 Augmented Lagrangian formulation of nonsmooth convex optimization in Hilbert spaces. Zbl 0876.49028 Ito, Kazufumi; Kunisch, Karl 8 1996 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. 8 1991 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 6 2021 Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems. Zbl 1471.65095 Zhao, Tengjin; Ito, Kazufumi; Zhang, Zhiyue 1 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 1 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 11 2018 Variational Gaussian approximation for Poisson data. Zbl 1433.62043 Arridge, Simon R.; Ito, Kazufumi; Jin, Bangti; Zhang, Chen 6 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 15 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 64 2015 Direct sampling method for diffusive optical tomography. Zbl 1320.65195 Chow, Yat Tin; Ito, Kazufumi; Liu, Keji; Zou, Jun 24 2015 Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638 Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue 16 2015 On the sectorial property of the Caputo derivative operator. Zbl 1371.34124 Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 6 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 29 2014 Optimal control with \(L^p(\Omega)\), \(p\in [0,1)\), control cost. Zbl 1306.49010 Ito, Kazufumi; Kunisch, Karl 23 2014 A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070 Ito, Kazufumi; Kunisch, Karl 14 2014 A note on the existence of nonsmooth nonconvex optimization problems. Zbl 1307.49007 Ito, Kazufumi; Kunisch, Karl 6 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 44 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 71 2012 A minimum effort optimal control problem for elliptic PDEs. Zbl 1270.49023 Clason, Christian; Ito, Kazufumi; Kunisch, Karl 2 2012 Multi-parameter Tikhonov regularization. Zbl 1285.65032 Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 19 2011 A time reversal based algorithm for solving initial data inverse problems. Zbl 1209.35153 Ito, Kazufumi; Ramdani, Karim; Tucsnak, Marius 15 2011 A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054 Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 15 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 4 2011 Karush-Kuhn-Tucker conditions for nonsmooth mathematical programming problems in function spaces. Zbl 1234.49021 Ito, Kazufumi; Kunisch, Karl 4 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 24 2010 Semismooth Newton methods for time-optimal control for a class of ODEs. Zbl 1202.49041 Ito, Kazufumi; Kunisch, Karl 16 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. 18 2009 Lagrange multiplier approach with optimized finite difference stencils for pricing American options under stochastic volatility. Zbl 1201.35024 Ito, Kazufumi; Toivanen, Jari 17 2009 On a semi-smooth Newton method and its globalization. Zbl 1164.65018 Ito, Kazufumi; Kunisch, Karl 15 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. 7 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 267 2008 Variational approach to shape derivatives. Zbl 1357.49148 Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H. 42 2008 Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064 Ito, Kazufumi; Kunisch, Karl 25 2008 A high-order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. Zbl 1143.76044 Ito, Kazufumi; Qiao, Zhonghua 18 2008 A domain decomposition solver for acoustic scattering by elastic objects in layered media. Zbl 1145.74038 Ito, Kazufumi; Qiao, Zhonghua; Toivanen, Jari 15 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 42 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 10 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 185 2006 Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028 Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H. 34 2006 Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004 Ito, Kazufumi; Kunisch, Karl 20 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. 11 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 Receding horizon control with incomplete observations. Zbl 1110.49032 Ito, Kazufumi; Kunisch, Karl 3 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 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 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 Measure-valued solutions for a hierarchically size-structured population. Zbl 1082.35049 Ackleh, Azmy S.; Ito, Kazufumi 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 29 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. 419 2003 Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311 Ito, Kazufumi; Kunisch, Karl 65 2003 Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007 Ito, Kazufumi; Kunisch, Karl 55 2003 Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072 Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin 34 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 Adaptive compresators for perturbed positive real infinite-dimensional systems. Zbl 1051.93051 Curtain, Ruth F.; Demetriou, Michael A.; Ito, Kazufumi 4 2003 Evolution equations and approximations. Zbl 1014.34045 Ito, Kazufumi; Kappel, Franz 33 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 23 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 Reduced order feedback synthesis for viscous incompressible flows. Zbl 0967.93013 Ito, Kazufumi; Schroeter, J. D. 11 2001 ...and 92 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,662 Authors 91 Kunisch, Karl 70 Ito, Kazufumi 45 Li, Zhilin 37 Hintermüller, Michael 33 Jin, Bangti 25 Zou, Jun 21 Brenner, Susanne Cecelia 21 Volkwein, Stefan 21 Wachsmuth, Daniel 20 Ackleh, Azmy S. 20 Banks, Harvey Thomas 20 Clason, Christian 20 Stoll, Martin 19 Sung, Li-Yeng 19 Yousept, Irwin 18 Rösch, Arnd 17 Benner, Peter 17 Lu, Xiliang 17 Wohlmuth, Barbara I. 16 Hinze, Michael 16 Kovtunenko, Viktor Anatolievich 16 Tröltzsch, Fredi 15 Borzì, Alfio 15 Herzog, Roland 15 Rozza, Gianluigi 14 De los Reyes, Juan Carlos 14 Fang, Weifu 14 Lin, Tao 14 Zhang, Zhiyue 13 Gudi, Thirupathi 13 Khan, Akhtar Ali 13 Liu, Jun 13 Yang, Haijian 12 Lai, Mingchih 12 Surowiec, Thomas 11 Neitzel, Ira 11 Sama, Miguel 11 Tai, Xuecheng 11 Wei, Guowei 11 Wick, Thomas 11 Ying, Wenjun 10 Angulo, Oscar 10 Antil, Harbir 10 Burns, John A. 10 Chen, Yanping 10 Ji, Haifeng 10 Morris, Kirsten A. 10 Nguyen, Dinh Liem 10 Popp, Alexander 10 Wall, Wolfgang A. 9 Bredies, Kristian 9 Chow, Yat Tin 9 Guo, Bao-Zhu 9 Guo, Ruchi 9 Kanzow, Christian 9 Klibanov, Michael V. 9 Laurain, Antoine 9 Li, Yeping 9 Lin, Yanping 9 López-Marcos, Juan Carlos 9 Manzoni, Andrea 9 Meyer, Christian 9 Porwal, Kamana 9 Sun, Hongpeng 9 Ulbrich, Michael 9 Yan, Ningning 9 Zhang, Liwei 8 Alekseev, Gennady V. 8 Deng, Keng 8 Harbrecht, Helmut 8 Jadamba, Baasansuren 8 Kalise, Dante 8 Kappel, Franz 8 Kulikov, Gennady Yur’evich 8 Li, Xiaolin 8 Liu, Keji 8 Mehlitz, Patrick 8 Park, Won-Kwang 8 Patera, Anthony T. 8 Pearson, John W. 8 Pinnau, René 8 Reisinger, Christoph 8 Saritskaya, Zhanna Yur’evna 8 Tan, Zhijun 8 Toivanen, Jari 8 Trélat, Emmanuel 8 Wachsmuth, Gerd 8 Yuan, Xiaoming 8 Zhang, Xu 8 Zhang, Yufei 8 Zuazua, Enrique 7 Ammari, Habib 7 Burman, Erik 7 Casas, Eduardo 7 Chainais-Hillairet, Claire 7 Chen, Jinru 7 Christof, Constantin 7 Ervedoza, Sylvain 7 Feng, Binhua 7 Gong, Wei ...and 3,562 more Authors all top 5 Cited in 335 Serials 184 Journal of Computational Physics 88 Journal of Computational and Applied Mathematics 78 Computers & Mathematics with Applications 76 Computer Methods in Applied Mechanics and Engineering 73 Computational Optimization and Applications 72 Journal of Scientific Computing 70 SIAM Journal on Control and Optimization 69 Inverse Problems 60 SIAM Journal on Scientific Computing 56 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 52 Journal of Mathematical Analysis and Applications 47 Journal of Optimization Theory and Applications 44 Applied Mathematics and Computation 42 Automatica 41 Numerical Functional Analysis and Optimization 40 Numerische Mathematik 39 Applied Numerical Mathematics 34 Applied Mathematics and Optimization 29 SIAM Journal on Numerical Analysis 29 Systems & Control Letters 28 International Journal for Numerical Methods in Engineering 27 Optimization Methods & Software 26 Numerical Methods for Partial Differential Equations 25 Journal of Differential Equations 25 Applied Mathematics Letters 25 Journal of Inverse and Ill-Posed Problems 25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 24 Advances in Computational Mathematics 23 Applicable Analysis 23 M\(^3\)AS. 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Zeitschrift für angewandte Mathematik und Physik 5 Computing 5 Journal of Functional Analysis 5 Kybernetika ...and 235 more Serials all top 5 Cited in 45 Fields 1,433 Numerical analysis (65-XX) 1,041 Partial differential equations (35-XX) 898 Calculus of variations and optimal control; optimization (49-XX) 418 Fluid mechanics (76-XX) 380 Systems theory; control (93-XX) 281 Operations research, mathematical programming (90-XX) 278 Mechanics of deformable solids (74-XX) 159 Optics, electromagnetic theory (78-XX) 158 Biology and other natural sciences (92-XX) 116 Operator theory (47-XX) 112 Ordinary differential equations (34-XX) 89 Probability theory and stochastic processes (60-XX) 83 Computer science (68-XX) 82 Statistical mechanics, structure of matter (82-XX) 81 Information and communication theory, circuits (94-XX) 70 Statistics (62-XX) 53 Integral equations (45-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Classical thermodynamics, heat transfer (80-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Approximations and expansions (41-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 Functional analysis (46-XX) 24 Geophysics (86-XX) 23 Real functions (26-XX) 17 Mechanics of particles and systems (70-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Integral transforms, operational calculus (44-XX) 8 Quantum theory (81-XX) 7 Potential theory (31-XX) 7 Special functions (33-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 4 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-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