Kazufumi Ito Ito, K., & Liang, Y. (2024). A DIRECT PROBING METHOD OF AN INVERSE PROBLEM FOR THE EIKONAL EQUATION. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 46(2), A1235–A1251. https://doi.org/10.1137/23M1577390 Liu, W., Zhao, T., Ito, K., & Zhang, Z. (2023). Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains. APPLIED NUMERICAL MATHEMATICS, 186, 164–201. https://doi.org/10.1016/j.apnum.2023.01.007 Ito, K., Liang, Y., & Zou, J. (2022). Least-squares method for recovering multiple medium parameters. INVERSE PROBLEMS, 38(12). https://doi.org/10.1088/1361-6420/ac999a Chung, E., Ito, K., & Yamamoto, M. (2022). Least squares formulation for ill-posed inverse problems and applications. APPLICABLE ANALYSIS, 101(15), 5247–5261. https://doi.org/10.1080/00036811.2021.1884228 Zhao, T., Ito, K., & Zhang, Z. (2021). Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 396. https://doi.org/10.1016/j.cam.2021.113606 Ito, K., Reisinger, C., & Zhang, Y. (2021). A Neural Network-Based Policy Iteration Algorithm with Global H-2-Superlinear Convergence for Stochastic Games on Domains. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 21(2), 331–374. https://doi.org/10.1007/s10208-020-09460-1 King, S. A., Ito, K., & Hodyss, D. (2020). A numerical integration-based Kalman filter for moderately nonlinear systems. TELLUS SERIES A-DYNAMIC METEOROLOGY AND OCEANOGRAPHY, 72(1). https://doi.org/10.1080/16000870.2020.1712938 Heikkola, E., Ito, K., & Toivanen, J. (2019). A PARALLEL DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION IN LAYERED MEDIA. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 41(5), C505–C521. https://doi.org/10.1137/18M1230906 Arridge, S. R., Ito, K., Jin, B., & Zhang, C. (2018). Variational Gaussian approximation for Poisson data. INVERSE PROBLEMS, 34(2). https://doi.org/10.1088/1361-6420/aaa0ab Ito, K., & Kunisch, K. (2016). A SEQUENTIAL METHOD FOR A CLASS OF STABLE MATHEMATICAL PROGRAMMING PROBLEMS. SIAM JOURNAL ON OPTIMIZATION, 26(2), 1262–1292. https://doi.org/10.1137/140985597 Chow, Y. T., Ito, K., & Zou, J. (2016). ANALYSIS ON A NONNEGATIVE MATRIX FACTORIZATION AND ITS APPLICATIONS. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 38(5), B645–B684. https://doi.org/10.1137/15m1020824 King, S. A., Kang, W., & Ito, K. (2016). Reduced Order Gaussian Smoothing for Nonlinear Data Assimilation. IFAC PAPERSONLINE, Vol. 49, pp. 199–204. https://doi.org/10.1016/j.ifacol.2016.10.163 Ito, K., & Landi, A. K. (2016). THE NONNEGATIVE MATRIX FACTORIZATION: REGULARIZATION AND COMPLEXITY. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 38(2), B327–B346. https://doi.org/10.1137/14099841x Clason, C., Ito, K., & Kunisch, K. (2016). A CONVEX ANALYSIS APPROACH TO OPTIMAL CONTROLS WITH SWITCHING STRUCTURE FOR PARTIAL DIFFERENTIAL EQUATIONS. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 22(2), 581–609. https://doi.org/10.1051/cocv/2015017 Chow, Y. T., Ito, K., Liu, K., & Zou, J. (2015). DIRECT SAMPLING METHOD FOR DIFFUSIVE OPTICAL TOMOGRAPHY. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 37(4), A1658–A1684. https://doi.org/10.1137/14097519x Ackleh, A. S., Chellamuthu, V. K., & Ito, K. (2015). FINITE DIFFERENCE APPROXIMATIONS FOR MEASURE-VALUED SOLUTIONS OF A HIERARCHICALLY SIZE-STRUCTURED POPULATION MODEL. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(2), 233–258. https://doi.org/10.3934/mbe.2015.12.233 Zhang, Q., Ito, K., Li, Z., & Zhang, Z. (2015). Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. JOURNAL OF COMPUTATIONAL PHYSICS, 298, 305–319. https://doi.org/10.1016/j.jcp.2015.05.050 Ito, K., Jin, B., & Takeuchi, T. (2015). On the sectorial property of the Caputo derivative operator. APPLIED MATHEMATICS LETTERS, 47, 43–46. https://doi.org/10.1016/j.aml.2015.03.001 Ito, K., & Landi, A. K. (2015). The nonnegative matrix factorization and atomic deconvolution. Proceedings 2015 ieee international conference on bioinformatics and biomedicine, 1650–1657. https://doi.org/10.1109/bibm.2015.7359923 Ito, K., & Kunisch, K. (2014). A Note on the Existence of Nonsmooth Nonconvex Optimization Problems. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 163(3), 697–706. https://doi.org/10.1007/s10957-014-0552-4 Chow, Y. T., Ito, K., & Zou, J. (2014). A direct sampling method for electrical impedance tomography. INVERSE PROBLEMS, 30(9). https://doi.org/10.1088/0266-5611/30/9/095003 Ito, K., & Takeuchi, T. (2014). Immersed Interface CIP for One Dimensional Hyperbolic Equations. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 16(1), 96–114. https://doi.org/10.4208/cicp.070313.221113a Ito, K., Jin, B., & Takeuchi, T. (2014). Multi-parameter Tikhonov regularization - An augmented approach. CHINESE ANNALS OF MATHEMATICS SERIES B, 35(3), 383–398. https://doi.org/10.1007/s11401-014-0835-y Ito, K., & Kunisch, K. (2014). OPTIMAL CONTROL WITH L-p(Omega), p epsilon [0,1), CONTROL COST. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 52(2), 1251–1275. https://doi.org/10.1137/120896529 Ito, K., Jin, B., & Zou, J. (2013). A direct sampling method for inverse electromagnetic medium scattering. INVERSE PROBLEMS, 29(9). https://doi.org/10.1088/0266-5611/29/9/095018 Ito, K., & Kunisch, K. (2014). A variational approach to sparsity optimization based on Lagrange multiplier theory. INVERSE PROBLEMS, 30(1). https://doi.org/10.1088/0266-5611/30/1/015001 Aihara, K., Ito, K., Nakagawa, J., & Takeuchi, T. (2013). Optimal control laws for traffic flow. APPLIED MATHEMATICS LETTERS, 26(6), 617–623. https://doi.org/10.1016/j.aml.2012.12.021 Ito, K., & Liu, J.-C. (2013). Recovery of inclusions in 2D and 3D domains for Poisson's equation. INVERSE PROBLEMS, 29(7). https://doi.org/10.1088/0266-5611/29/7/075005 Clason, C., Ito, K., & Kunisch, K. (2012). A MINIMUM EFFORT OPTIMAL CONTROL PROBLEM FOR ELLIPTIC PDES. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 46(4), 911–927. https://doi.org/10.1051/m2an/2011074 Ito, K., Jin, B., & Zou, J. (2012). A direct sampling method to an inverse medium scattering problem. INVERSE PROBLEMS, 28(2). https://doi.org/10.1088/0266-5611/28/2/025003 Ito, K., Jin, B., & Zou, J. (2013). A two-stage method for inverse medium scattering. JOURNAL OF COMPUTATIONAL PHYSICS, 237, 211–223. https://doi.org/10.1016/j.jcp.2012.12.004 Ito, K., Li, Z., & Qiao, Z. (2012). The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 4(1), 21–35. https://doi.org/10.4208/aamm.11-m1110 Ito, K., Jin, B., & Takeuchi, T. (2011). A REGULARIZATION PARAMETER FOR NONSMOOTH TIKHONOV REGULARIZATION. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 33(3), 1415–1438. https://doi.org/10.1137/100790756 Ito, K., & Jin, B. (2011). A new approach to nonlinear constrained Tikhonov regularization. INVERSE PROBLEMS, 27(10). https://doi.org/10.1088/0266-5611/27/10/105005 Ito, K., Jin, B., & Zou, J. (2011). A new choice rule for regularization parameters in Tikhonov regularization. APPLICABLE ANALYSIS, 90(10), 1521–1544. https://doi.org/10.1080/00036811.2010.541450 Banks, H. T., Hu, S. H., Ito, K., & Muccio, S. G. (2011). Dynamic evasion-interrogation games with uncertainty in the context of electromagetics. Numerical Mathematics: Theory, Methods and Applications, 4(3), 359–378. Ito, K., & Kunisch, K. (2011). KARUSH-KUHN-TUCKER CONDITIONS FOR NONSMOOTH MATHEMATICAL PROGRAMMING PROBLEMS IN FUNCTION SPACES. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2133–2154. https://doi.org/10.1137/100817061 Ito, K., & Kunisch, K. (2011). MINIMAL EFFORT PROBLEMS AND THEIR TREATMENT BY SEMISMOOTH NEWTON METHODS. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 49(5), 2083–2100. https://doi.org/10.1137/100784667 Ito, K., Kunisch, K., Schulz, V., & Gherman, I. (2010). APPROXIMATE NULLSPACE ITERATIONS FOR KKT SYSTEMS. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 31(4), 1835–1847. https://doi.org/10.1137/080724952 Clason, C., Ito, K., & Kunisch, K. (2011). MINIMAL INVASION: AN OPTIMAL L-infinity STATE CONSTRAINT PROBLEM. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 45(3), 505–522. https://doi.org/10.1051/m2an/2010064 Ito, K., & Kunisch, K. (2010). SEMISMOOTH NEWTON METHODS FOR TIME-OPTIMAL CONTROL FOR A CLASS OF ODES. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 48(6), 3997–4013. https://doi.org/10.1137/090753905 Ito, K., Lai, M.-C., & Li, Z. (2009). A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. JOURNAL OF COMPUTATIONAL PHYSICS, 228(7), 2616–2628. https://doi.org/10.1016/j.jcp.2008.12.028 Ito, K., & Kunisch, K. (2009). ASYMPTOTIC PROPERTIES OF FEEDBACK SOLUTIONS FOR A CLASS OF QUANTUM CONTROL PROBLEMS. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 48(4), 2323–2343. https://doi.org/10.1137/080720784 Ito, K., & Toivanen, J. (2009). LAGRANGE MULTIPLIER APPROACH WITH OPTIMIZED FINITE DIFFERENCE STENCILS FOR PRICING AMERICAN OPTIONS UNDER STOCHASTIC VOLATILITY. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 31(4), 2646–2664. https://doi.org/10.1137/07070574X Haslinger, J., Ito, K., Kozubek, T., Kunisch, K., & Peichl, G. (2009). On the shape derivative for problems of Bernoulli type. Interfaces and Free Boundaries, 11(2), 317–330. https://doi.org/10.4171/ifb/213 Ito, K., & Kunisch, K. (2010). Optimal control of parabolic variational inequalities. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 93(4), 329–360. https://doi.org/10.1016/j.matpur.2009.10.005 Ito, K., Qiao, Z., & Toivanen, J. (2008). A domain decomposition solver for acoustic scattering by elastic objects in layered media. JOURNAL OF COMPUTATIONAL PHYSICS, 227(19), 8685–8698. https://doi.org/10.1016/j.jcp.2008.06.015 Xie, H., Ito, K., Li, Z., & Toivanen, J. (2008). A finite element method for interface problems with locally modified triangulations. Moving interface problems and applications in fluid dynamics, 466, 179–190. https://doi.org/10.1090/conm/466/09122 Ito, K., & Qiao, Z. (2008). A high order compact MAC finite difference scheme for the Stokes equations: Augmented variable approach. Journal of Computational Physics, 227(17), 8177–8190. https://doi.org/10.1016/j.jcp.2008.05.021 Ito, K., & Qiao, Z. (2008). A high order finite difference scheme for the Stokes equations. Moving interface problems and applications in fluid dynamics, 466, 35–51. https://doi.org/10.1090/conm/466/09115 Demetriou, M. A., Ito, K., & Smith, R. C. (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. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 23(2), 193–215. https://doi.org/10.1002/acs.1058 Ito, K., & Kunisch, K. (2008). REDUCED-ORDER OPTIMAL CONTROL BASED ON APPROXIMATE INERTIAL MANIFOLDS FOR NONLINEAR DYNAMICAL SYSTEMS. SIAM JOURNAL ON NUMERICAL ANALYSIS, 46(6), 2867–2891. https://doi.org/10.1137/060666421 Ito, K., & Kunisch, K. (2008). Semi-smooth Newton methods for the Signorini problem. APPLICATIONS OF MATHEMATICS, 53(5), 455–468. https://doi.org/10.1007/s10492-008-0036-7 Ito, K., Kunisch, K., & Peichl, G. H. (2008). Variational approach to shape derivatives. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 14(3), 517–539. https://doi.org/10.1051/cocv:2008002 Demetriou, M. A., Ito, K., & Smith, R. C. (2007). Adaptive monitoring and accommodation of nonlinear actuator faults in positive real infinite dimensional systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 52(12), 2332–2338. https://doi.org/10.1109/TAC.2007.910694 Li, Z., Lai, M.-C., & Ito, K. (2007). An immersed interface method for the Navier-Stokes equations on irregular domains. PAMM, 7(1), 1025401–1025402. https://doi.org/10.1002/pamm.200700758 Ito, K., & Kunisch, K. (2007). Convergence of the primal-dual active set strategy for diagonally dominant systems. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 46(1), 14–34. https://doi.org/10.1137/050632713 Ito, K., & Kunisch, K. (2009). On a semi-smooth Newton method and its globalization. MATHEMATICAL PROGRAMMING, 118(2), 347–370. https://doi.org/10.1007/s10107-007-0196-3 Ito, K., & Kunisch, K. (2007). Optimal bilinear control of an abstract Schrodinger equation. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 46(1), 274–287. https://doi.org/10.1137/05064254X Ito, K., & Kunisch, K. (2007). Optimal control of obstacle problems by H-1-obstacles. APPLIED MATHEMATICS AND OPTIMIZATION, 56(1), 1–17. https://doi.org/10.1007/s00245-007-0877-6 Ito, K., Kunisch, K., & Peichl, G. (2007). Shape derivatives without taking the shape derivative. PAMM, 7(1), 1061005–1061006. https://doi.org/10.1002/pamm.200700780 Ito, K., & Toivanen, J. (2007). A fast iterative solver for scattering by elastic objects in layered media. APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 811–820. https://doi.org/10.1016/j.apnum.2006.07.020 Ackleh, A. S., Deng, K., Ito, K., & Thibodeaux, J. (2006). A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate. MATHEMATICAL BIOSCIENCES, 204(1), 21–48. https://doi.org/10.1016/j.mbs.2006.08.004 Li, Z., Ito, K., & Lai, M.-C. (2007). An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. COMPUTERS & FLUIDS, 36(3), 622–635. https://doi.org/10.1016/j.compfluid.2006.03.003 Li, Z. L., Wan, X. H., Ito, K., & Lubkin, S. R. (2006). An augmented approach for the pressure boundary condition in a Stokes flow. Communications in Computational Physics, 1(5), 874–885. Banks, H. T., Ito, K., & Toivanen, J. (2006). Determination of interrogating frequencies to maximize electromagnetic backscatter from objects with material coatings. Communications in Computational Physics, 1(2), 362–382. Banks, H. T., Ito, K., Kepler, G. M., & Toivanen, J. A. (2006). Material surface design to counter electromagnetic interrogation of targets. SIAM JOURNAL ON APPLIED MATHEMATICS, 66(3), 1027–1049. https://doi.org/10.1137/040621430 Ito, K., & Toivanen, J. (2006). Preconditioned iterative methods on sparse subspaces. APPLIED MATHEMATICS LETTERS, 19(11), 1191–1197. https://doi.org/10.1016/j.aml.2005.11.027 Ito, K., & Kunisch, K. (2006). Receding horizon control with incomplete observations. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 45(1), 207–225. https://doi.org/10.1137/S0363012903437988 Li, Z., & Ito, K. (2006). The immersed interface method: Numerical solutions of PDEs involving interfaces and irregular domains. https://doi.org/10.1137/1.9780898717464 Fang, W., Ito, K., & Redfern, D. A. (2006). A homogenization model for laser beam-induced current imaging and detection of non-uniformities in semiconductor arrays. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 194(2), 395–408. https://doi.org/10.1016/j.cam.2005.08.007 Hicks, G., & Ito, K. (2005). A method for determination of optimal gaits with application to a snake-like serial-link structure. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 50(9), 1291–1306. https://doi.org/10.1109/tac.2005.854583 Ito, K. (2005). An optimal optical flow. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44(2), 728–742. https://doi.org/10.1137/S0363012904433444 Ito, K., Li, Z. L., & Kyei, Y. (2005). Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27(1), 346–367. https://doi.org/10.1137/03060120X Ito, K., & Li, Z. L. (2006). Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. APPLIED MATHEMATICS LETTERS, 19(3), 229–234. https://doi.org/10.1016/j.aml.2005.02.041 Redfern, D. A., Fang, W., Ito, K., Bahir, G., Musca, C. A., Dell, J. M., & Faraone, L. (2005). Investigation of laser beam-induced current techniques for heterojunction photodiode characterization. JOURNAL OF APPLIED PHYSICS, 98(3). https://doi.org/10.1063/1.1993754 Ackleh, A. S., & Ito, K. (2005). Measure-valued solutions for a hierarchically size-structured population. JOURNAL OF DIFFERENTIAL EQUATIONS, 217(2), 431–455. https://doi.org/10.1016/j.jde.2004.12.013 Ito, K., & Kunisch, K. (2006). Parabolic variational inequalities: The Lagrange multiplier approach. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 85(3), 415–449. https://doi.org/10.1016/j.matpur.2005.08.005 Ito, K., Kunisch, K., & Peichl, G. H. (2006). Variational approach to shape derivatives for a class of Bernoulli problems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 314(1), 126–149. https://doi.org/10.1016/j.jmaa.2005.03.100 Fang, W. F., Ito, K., & Redfern, D. A. (2004). LBIC imaging of semiconductor arrays: The cross-sectional model. MATHEMATICAL AND COMPUTER MODELLING, 40(1-2), 127–136. https://doi.org/10.1016/j.mcm.2003.10.045 Kojima, F., & Ito, K. (2004). Reconstruction of magnetic charge densities using regularization of bounded variations under noisy observations. INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, Vol. 19, pp. 309–313. https://doi.org/10.3233/jae-2004-582 Ito, K., & Kunisch, K. (2006). Reduced order control based on approximate inertial manifolds. LINEAR ALGEBRA AND ITS APPLICATIONS, 415(2-3), 531–541. https://doi.org/10.1016/j.laa.2004.10.019 Ito, K., & Kunisch, K. (2004). The primal-dual active set method for nonlinear optimal control problems with bilateral constraints. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 43(1), 357–376. https://doi.org/10.1137/S0363012902411015 Banks, H. T., Furati, K. M., Ito, K., Luke, N. S., & Smith, C. J. (2003). Acoustic attenuation employing variable wall admittance. Directions in Mathematical Systems Theory and Optimization (Lecture Notes in Control and Information Sciences; 286), (2003), 15–26. Fang, W. F., & Ito, K. (2003). Identification of contact regions in semiconductor transistors by level-set methods. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 159(2), 399–410. https://doi.org/10.1016/S0377-0427(03)00543-0 Redfern, D. A., Fang, W., Ito, K., Musca, C. A., Dell, J. M., & Faraone, L. (2004). Low temperature saturation of p-n junction laser beam induced current signals. SOLID-STATE ELECTRONICS, 48(3), 409–414. https://doi.org/10.1016/j.sse.2003.09.008 Borzi, A., Ito, K., & Kunisch, K. (2002). Optimal control formulation for determining optical flow. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 24(3), 818–847. https://doi.org/10.1137/S1064827501386481 Ito, K., & Kunisch, K. (2003). Semi-smooth Newton methods for state-constrained optimal control problems. SYSTEMS & CONTROL LETTERS, 50(3), 221–228. https://doi.org/10.1016/s0167-6911(03)00156-7 Ito, K., & Kunisch, K. (2003). Semi-smooth Newton methods for variational inequalities of the first kind. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 37(1), 41–62. https://doi.org/10.1051/m2an:2003021 Ito, K., & Li, Z. L. (2003). Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method. JOURNAL OF SCIENTIFIC COMPUTING, 19(1-3), 253–266. https://doi.org/10.1023/A:1025356025745 Deng, S. Z., Ito, K., & Li, Z. L. (2003). Three-dimensional elliptic solvers for interface problems and applications. JOURNAL OF COMPUTATIONAL PHYSICS, 184(1), 215–243. https://doi.org/10.1016/S0021-9991(02)00028-1 Banks, H. T., Cole, D. G., Furati, K. M., Ito, K., & Pinter, G. A. (2002). A computational model for sound field absorption by acoustic arrays. Journal of Intelligent Material Systems and Structures, 13(4), 231–240. https://doi.org/10.1106/104538902028631 Borzi, A., Ito, K., & Kunisch, K. (2002, September 10). An optimal control approach to optical flow computation. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol. 40, pp. 231–240. https://doi.org/10.1002/fld.273 Ito, K., & Kunisch, K. (2002). Asymptotic properties of receding horizon optimal control problems. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40(5), 1585–1610. https://doi.org/10.1137/S0363012900369423 Ito, K., & Kappel, F. (2002). Evolution equations and approximations. https://doi.org/10.1142/4990 Fang, W. F., & Ito, K. (2002). Nonhomogeneous initial-boundary value problems for nonlinear diffusion-convection equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 48(2), 303–322. https://doi.org/10.1016/S0362-546X(00)00188-7 Ito, K., & Kunisch, K. (2002). Optimal control of the solid fuel ignition model with H-1-cost. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40(5), 1455–1472. https://doi.org/10.1137/S0363012900366042 Fang, W. F., Ito, K., & Redfern, D. A. (2002). Parameter identification for semiconductor diodes by LBIC imaging. SIAM JOURNAL ON APPLIED MATHEMATICS, 62(6), 2149–2174. https://doi.org/10.1137/S003613990139249X Ito, K., & Kunisch, K. (2002). Receding horizon optimal control for infinite dimensional systems. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 8, 741–760. https://doi.org/10.1051/cocv:2002032 Hintermuller, M., Ito, K., & Kunisch, K. (2003). The primal-dual active set strategy as a semismooth Newton method. SIAM JOURNAL ON OPTIMIZATION, 13(3), 865–888. https://doi.org/10.1137/S1052623401383558 Fang, W. F., & Ito, K. (2001). An electrochemistry model with nonlinear diffusion: steady-state solutions. IMA JOURNAL OF APPLIED MATHEMATICS, 66(2), 195–213. https://doi.org/10.1093/imamat/66.2.195 Ly, H. V., Ito, K., Banks, H. T., Jolly, M. R., & Reitich, F. (2001, March 20). Dynamic simulation of the temporal response of microstructure formation in magnetorheological fluids. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, Vol. 15, pp. 894–903. https://doi.org/10.1142/s0217979201005416 Ito, K. (2001). Existence of solutions to the Hamilton-Jacobi-Bellman equation under quadratic growth conditions. JOURNAL OF DIFFERENTIAL EQUATIONS, 176(1), 1–28. https://doi.org/10.1006/jdeq.2000.3980 Fang, W. F., & Ito, K. (2001). Existence of stationary solutions to an energy drift-diffusion model for semiconductor devices. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 11(5), 827–840. https://doi.org/10.1142/S0218202501001124 Ito, K., & Zou, J. (2001). Identification of some source densities of the distribution type. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 132(2), 295–308. https://doi.org/10.1016/S0377-0427(00)00332-0 Ito, K., Kunisch, K., & Li, Z. L. (2001). Level-set function approach to an inverse interface problem. INVERSE PROBLEMS, 17(5), 1225–1242. https://doi.org/10.1088/0266-5611/17/5/301 Li, Z. L., & Ito, K. (2001). Maximum principle preserving schemes for interface problems with discontinuous coefficients. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 23(1), 339–361. https://doi.org/10.1137/S1064827500370160 Banks, H. T., Choi, M. G., Durso, SR, & Ito, K. (2001). Nonlinear exothermic contributions to radio-frequency bonding of adhesives. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(3), 357–386. https://doi.org/10.1016/S0362-546X(00)00110-3 Ito, K., & Ravindran, S. S. (2001). Reduced basis method for optimal control of unsteady viscous flows. INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 15(2), 97–113. https://doi.org/10.1080/10618560108970021 Ito, K., & Schroeter, J. D. (2001). Reduced order feedback synthesis for viscous incompressible flows. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 173–192. https://doi.org/10.1016/S0895-7177(00)00237-5 Simon, T. M., Reitich, F., Jolly, M. R., Ito, K., & Banks, H. T. (2001). The effective magnetic properties of magnetorheological fluids. MATHEMATICAL AND COMPUTER MODELLING, Vol. 33, pp. 273–284. https://doi.org/10.1016/S0895-7177(00)00244-2 Oostveen, J. C., Curtain, R. F., & Ito, K. (2000). An approximation theory or strongly stabilizing solutions to the operator LQ Riccati equation. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 38(6), 1909–1937. https://doi.org/10.1137/S0363012998339691 Ito, K., & Rozovskii, B. (2000). Approximation of the Kushner equation for nonlinear filtering. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 38(3), 893–915. https://doi.org/10.1137/S0363012998344270 Ito, K., & Kunisch, K. (2000). Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 41(5-6), 591–616. https://doi.org/10.1016/S0362-546X(98)00299-5 Ito, K., & Kunisch, K. (2000). BV-type regularization methods for convoluted objects with edge, flat and grey scales. INVERSE PROBLEMS, 16(4), 909–928. https://doi.org/10.1088/0266-5611/16/4/303 Fang, W. F., & Ito, K. (2001). Existence and uniqueness of steady-state solutions for an electrochemistry model. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 129(4), 1037–1040. https://doi.org/10.1090/S0002-9939-00-05769-5 Ito, K., & Xiong, K. Q. (2000). Gaussian filters for nonlinear filtering problems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 45(5), 910–927. https://doi.org/10.1109/9.855552 Ito, K., & Kunisch, K. (2000). Newton's method for class of weakly singular optimal control problems. SIAM JOURNAL ON OPTIMIZATION, 10(3), 896–916. https://doi.org/10.1137/S1052623497320840 Ito, K., & Kunisch, K. (2000). Optimal control of elliptic variational inequalities. APPLIED MATHEMATICS AND OPTIMIZATION, 41(3), 343–364. https://doi.org/10.1007/s002459911017 Woods, V., Dietz, N., Ito, K., & Lauko, I. (2000). Real-time thickness and compositional control of Ga1-xInxP growth using p-polarized reflectance. JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS, Vol. 18, pp. 1190–1195. https://doi.org/10.1116/1.582469 Fang, W., & Ito, K. (2000). Weak solutions for diffusion-convection equations. APPLIED MATHEMATICS LETTERS, 13(3), 69–75. https://doi.org/10.1016/S0893-9659(99)00188-3 Ito, K., & Reitich, F. (1999). A high-order perturbation approach to profile reconstruction: I. Perfectly conducting gratings. INVERSE PROBLEMS, 15(4), 1067–1085. https://doi.org/10.1088/0266-5611/15/4/315 Ito, K., & Kunisch, K. (1999). An active set strategy based on the augmented Lagrangian formulation for image restoration. RAIRO. Mathematical Modelling and Numerical Analysis, 33(1), 1–21. https://doi.org/10.1051/m2an:1999102 Simon, T. M., Ito, K., Banks, H. T., Reitich, F., & Jolly, M. R. (1999). Estimation of the effective permeability in magnetorheological fluids. JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 10(11), 872–879. https://doi.org/10.1106/6KW6-7V12-NRQ3-BW6V Bergounioux, M., Ito, K., & Kunisch, K. (1999). Primal-dual strategy for constrained optimal control problems. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 37(4), 1176–1194. https://doi.org/10.1137/S0363012997328609 Dietz, N., Woods, V., Ito, K., & Lauko, I. (1999). Real-time optical control of Ga1-xInxP film growth by p-polarized reflectance. JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A, Vol. 17, pp. 1300–1306. https://doi.org/10.1116/1.581811 Ly, H. V., Reitich, E., Jolly, M. R., Banks, H. T., & Ito, K. (1999). Simulations of particle dynamics in magnetorheological fluids. JOURNAL OF COMPUTATIONAL PHYSICS, 155(1), 160–177. https://doi.org/10.1006/jcph.1999.6335 Ito, K., & Ravindran, S. S. (1998). A reduced-order method for simulation and control of fluid flows. JOURNAL OF COMPUTATIONAL PHYSICS, 143(2), 403–425. https://doi.org/10.1006/jcph.1998.5943 Ito, K., & Morris, K. A. (1998). An approximation theory of solutions to operator Riccati equations for H(infinity) control. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 36(1), 82–99. https://doi.org/10.1137/S0363012994274422 Ito, K., & Ravindran, S. S. (1998). Optimal control of thermally convected fluid flows. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 19(6), 1847–1869. https://doi.org/10.1137/S1064827596299731 Bachmann, K. J., Sukidi, N., Hopfner, C., Harris, C., Dietz, N., Tran, H. T., … Banks, H. T. (1998). Real-time monitoring of steady-state pulsed chemical beam epitaxy by p-polarized reflectance. JOURNAL OF CRYSTAL GROWTH, 183(3), 323–337. https://doi.org/10.1016/s0022-0248(97)00410-7 Dietz, N., & Ito, K. (1998, February). Real-time optical characterization of GaP heterostructures by p-polarized reflectance. THIN SOLID FILMS, Vol. 313, pp. 614–619. https://doi.org/10.1016/S0040-6090(97)00896-1 Ito, K., & Kappel, F. (1998). The Trotter-Kato theorem and approximation of PDEs. MATHEMATICS OF COMPUTATION, 67(221), 21–44. https://doi.org/10.1090/S0025-5718-98-00915-6 Ito, K., & Yan, Y. (1998). Viscous scalar conservation law with nonlinear flux feedback and global attractors. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 227(1), 271–299. https://doi.org/10.1006/jmaa.1998.6016 Ito, K., & Kunisch, K. (1997). Estimation of the convection coefficient in elliptic equations. INVERSE PROBLEMS, 13(4), 995–1013. https://doi.org/10.1088/0266-5611/13/4/007 Bachmann, K. J., Hopfner, C., Sukidi, N., Miller, A. E., Harris, C. J., Aspnes, D. E., … Banks, H. T. (1997). Molecular layer epitaxy by real-time optical process monitoring. Applied Surface Science, 112(1997 Mar.), 38–47. https://doi.org/10.1016/S0169-4332(96)00975-0 Fang, W. F., & Ito, K. (1997). On the inhomogeneous system of isentropic gas dynamics by the viscosity method. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 127, 261–280. https://doi.org/10.1017/s0308210500023647 Fang, W. F., & Ito, K. (1997). Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors. JOURNAL OF DIFFERENTIAL EQUATIONS, 133(2), 224–244. https://doi.org/10.1006/jdeq.1996.3203 Fang, W. F., & Ito, K. (1997). Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 28(5), 947–963. https://doi.org/10.1016/0362-546X(95)00189-3