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$구성원소개$

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구성원 소개
교수진

교수정보의 상세 화면-2019
이름 이형천 학력 전공 수학전공(과)
정보	연구실 : 연구실번호 : 이메일 : hclee@ajou.ac.kr hclee@mac.com 연구관심분야 : Numerical methods for PDEs 홈페이지1 : https://scholar.google.com.au/citations?hl=en&user=vPDOviQAAAAJ
학력
경력	아주대학교: 조교수, 부교수, 교수, 입학처장, 자연과학대학장, 교육대학원장 미국 University of California, Irvine, 조교수
연구분야	수치해석, 전산유체역학, Reduced Order Modeling for PDEs (편미분방정식의 차수축소법), Uncertainty Quantifications (불확실성의 정량화), 편미분방정식의 딥러닝, 머신러닝
기타	한국산업응용수학회 회장(KSIAM), 2015.01 - 2016.12 East Asian Journal on Applied Mathematics 편집위원, 2009 - present Executive Committee member of EASIAM, 2005 -2015 Advances in Applied Mathematics and Mechanics 편집위원, 2009.01 - 2013.12 대한수학회지 편집위원 (Journal of KMS), 2010.01 - 2012.12 미국 SIAM Journal of Numerical Analysis 편집위원, 2003.01 - 2008.12 대한수학회보 편집위원 (Bulletin of KMS), 2004.01 - 2007.12 한국산업응용수학회 부회장 (KSIAM), 2004.01 - 2006.12 and 2009.01 - 2010.12 대한수학회 논문집 편집위원 (Communications of KMS), 1999.01 - 2002.12 응용수학포럼 회장, 1999 - 2000
논문 및 연구활동	연구활동(주요논문) [논문] Gunzburger, Max, 이형천, Comparison of approaches for random PDE optimization problems based on different matching functional , COMPUTERS & MATHEMATICS WITH APPLICATIONS , Vol.73 , No.8 , pp.1657 -1672 (Apr, 2017) [논문] 이형천, 김광연, A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem , COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , Vol.199 , pp.2903 -2912 (Nov, 2010) [논문] 이형천, 김상동, 유수록, First-order system least-squares methods for an optimal control problem by the Stokes flow , SIAM Journal on Numerical Analysis , Vol.47 , No.2 , pp.1524 -1545 (Apr, 2009) [논문] 이형천, John Burkardt, Max Gunzburger, POD and CVT-based reduced-order modeling of Navier-Stokes flows , Computer methods in applied mechanics and engineering , Vol.196 , No.1 , pp.337 -355 (Oct, 2006) [논문] 이형천, Max D. Gunzburger, Feedback Control of Karman Vortex Shedding , Journal of Applied Mechanics , Vol.63 , No.3 , pp.828 -835 (Sep, 1996) 국제학술논문지 [논문] 이형천, Efficient computations for linear feedback control problems for target velocity matching of Navier-Stokes flows via POD and LSTM-ROM , ELECTRONIC RESEARCH ARCHIVE , Vol.29 , No.3 , pp.2533 -2552 (Aug, 2021) [논문] 김석찬, 이형천, Error estimate of a finite element method for an optimal control problem with corner singularity using the stress intensity factor , NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS , pp.1 -17 (Jul, 2021) [논문] Zhiqiang Cai, 이형천, 김석찬, Error estimate of a finite element method using stress intensity factor , COMPUTERS & MATHEMATICS WITH APPLICATIONS , Vol.76 , No.10 , pp.2402 -2408 (Nov, 2018) [논문] 최영미, 이형천, Error analysis of finite element approximations of the optimal control problem for stochastic Stokes equations with additive white noise , APPLIED NUMERICAL MATHEMATICS , Vol.133 , pp.144 -160 (Nov, 2018) [논문] 이형천, 김석찬, FINITE ELEMENT METHOD TO CONTROL THE DOMAIN SINGULARITIES OF POISSON EQUATION USING THE STRESS INTENSITY FACTOR : MIXED BOUNDARY CONDITION , INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING , Vol.14 , No.4-5 , pp.500 -510 (Jul, 2017) [논문] Gunzburger, Max, 이형천, Comparison of approaches for random PDE optimization problems based on different matching functional , COMPUTERS & MATHEMATICS WITH APPLICATIONS , Vol.73 , No.8 , pp.1657 -1672 (Apr, 2017) [논문] 남윤, 이형천, Sparse grid stochastic collocation method for stochastic Burgers equation , JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , Vol.54 , No.1 , pp.193 -213 (Jan, 2017) [논문] 김석찬, 이형천, A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor , COMPUTERS & MATHEMATICS WITH APPLICATIONS , Vol.11 , pp.2330 -2337 (Jun, 2016) [논문] 남윤, 이형천, Distributed Control of the Stochastic Burgers Equation with Random Input Data , EAST ASIAN JOURNAL ON APPLIED MATHEMATICS , Vol.1 , pp.89 -108 (Feb, 2016) [논문] 박광일, 이형천, Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model , EAST ASIAN JOURNAL ON APPLIED MATHEMATICS , Vol.5 , No.1 , pp.61 -74 (Feb, 2015) [논문] 최영미, 김수현, 이형천, Finite Element Approximations of the Optimal Control Problems for Stochastic Stokes Equations , BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY , Vol.51 , No.3 , pp.847 -862 (May, 2014) [논문] 김나리, 이형천, Sparse grid collocation method for an optimal control problem involving a stochastic partial differential equation with random inputs , EAST ASIAN JOURNAL ON APPLIED MATHEMATICS , Vol.4 , No.2 , pp.166 -188 (May, 2014) [논문] 이형천, Lee, Jangwoon, A Stochastic Galerkin Method for Stochastic Control Problems , COMMUNICATIONS IN COMPUTATIONAL PHYSICS , Vol.14 , No.1 , pp.77 -106 (Jul, 2013) [논문] 전영목, 이형천, A cell boundary element method for s flux control problem , JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , Vol.50 , No.1 , pp.81 -93 (Jan, 2013) [논문] 최영미, 김상동, 이형천, Convergence of the Newton's method for an optimal control problems for Navier-Stokes equations , BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY , pp.1079 -1092 (Nov, 2011) [논문] 이형천, Max Gunzburger, Jangwoon Lee, ERROR ESTIMATES OF STOCHASTIC OPTIMAL NEUMANN BOUNDARY CONTROL PROBLEMS , SIAM JOURNAL ON NUMERICAL ANALYSIS , Vol.49 , No.4 , pp.1532 -1552 (Nov, 2011) [논문] 이형천, 김광연, A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem , COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , Vol.199 , pp.2903 -2912 (Nov, 2010) [논문] 이형천, 김광연, A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem , JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , Vol.235 , pp.186 -202 (Nov, 2010) [논문] 박광일, 이형천, Boundary Feedback Control of the Burgers Equations by a Reduced-Order Approach Using Centroidal Voronoi Tessellations , JOURNAL OF SCIENTIFIC COMPUTING , Vol.43 , No.3 , pp.369 -387 (Jun, 2010) [논문] 김상동, 류수록, 이형천, First-Order System Least-Squares Methods for a Flux Control Problem by the Stokes Flow , COMMUNICATIONS IN COMPUTATIONAL PHYSICS , Vol.7 , No.4 , pp.738 -758 (Apr, 2010) [논문] 이형천, 김상동, 백헌기, A MULTIGRID METHOD FOR AN OPTIMAL CONTROL PROBLEM OF A DIFFUSION-CONVECTION EQUATION , JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , Vol.1 , pp.83 -100 (Feb, 2010) [논문] 이형천, 최영미, 김상동, Analysis and computations of least squares method for optimal control problems for the Stokes equations , JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY , Vol.46 , No.5 , pp.1007 -1025 (Sep, 2009) [논문] 이형천, 김상동, 유수록, First-order system least-squares methods for an optimal control problem by the Stokes flow , SIAM Journal on Numerical Analysis , Vol.47 , No.2 , pp.1524 -1545 (Apr, 2009) [논문] 이형천, Optimal control problems for the two dimensional Rayleigh_Benard type convection by a gradient method , Japan Journal of Industrial and applied mathematics , Vol.26 , No.1 , pp.93 -121 (Feb, 2009) [논문] 이형천, Li Tian, Lili Ju, NUmerical simulations of the steady Navier-Stokes using adaptive meshing schemes , International Jounal for Numerical Methods in Fluids , Vol.56 , No.6 , pp.703 -721 (Feb, 2008) [논문] 이형천, Hyesuk Lee, Analysis and finite element approximation of an optimal control problem for the Oseen viscoelastic fluid flow , Journal of Mathematical Analysis and Applications , Vol.336 , No.1 , pp.1090 -1106 (Nov, 2007) [논문] 이형천, 최영미, 신병천, A least-squares/penalty method for distributed optimal control problems for Stokes equations , An International Journal Computers And Mathematics with Applications , Vol.53 , No.1 , pp.1672 -1685 (May, 2007) [논문] 이형천, 박광일, 이성환, Redeuced-order modeling of Burgers equations based on centroidal Voronoi tessellation , International Journal of Numerical Analysis and Modeling , Vol.4 , No.3 , pp.559 -583 (Feb, 2007) [논문] 이형천, John Burkardt, Max Gunzburger, POD and CVT-based reduced-order modeling of Navier-Stokes flows , Computer methods in applied mechanics and engineering , Vol.196 , No.1 , pp.337 -355 (Oct, 2006) [논문] 이형천, John Burkardt, Max Gunzburger, Centroidal Voronoi tessellation-based reduced-order modeling of complex systems , SIAM Journal on Scientific Computing , Vol.28 , No.2 , pp.459 -484 (Apr, 2006) [논문] 이형천, 최영미, Analysis and approximation of linear feedback control problems for the Boussinesq equations , Computers and mathematics with applications , Vol.51 , pp.829 -848 (Apr, 2006) [논문] 이형천, Max Gunzburger, Reduced-order modeling of Navier-Stokes equations via centroidal Voronoi tessellation , Contemporary Mathematics , Vol.383 , No.1 , pp.213 -224 (Jan, 2006) [논문] 이형천, 신병천, Fully discrete approximation of a velocity and temperature tracking problem for the Boussinesq equations with piecewise distributed controls , Math. Meth. Appl. Sci. , Vol.28 , pp.1977 -2006 (Jul, 2005) [논문] 이형천, TIMOFEY SHILKIN, Analysis of optimal control problems for the two-dimensional thermistor system , SIAM J. Control Optim. , Vol.44 , No.1 , pp.268 -282 (Jul, 2005) [논문] 이형천, 김수현, 김영관, FInite element approximations and computations of optimal control problems for the stationary Boussinesq equations with distributed and Neumann boundary controls , Far East Journal of Applied mathematics , Vol.20 , No.1 , pp.61 -100 (Jul, 2005) [논문] 이형천, 김수현, Finite element approximation and computations of optimal dirichlet boundary control problems for the Boussinesq equations , Journal of Korean Math. Soc. , Vol.41 , No.4 , pp.681 -715 (Jul, 2004) [논문] 이형천, 신병천, 이상동, Least-squares spectral collocation method for the Stokes equations , Nemerical Methods for Partial Differential Equations , Vol.20 , No.1 , pp.128 -139 (Jan, 2004) [논문] 이형천, 김상도, 신병천, Pseudospectral least-squares method for the second-order elliptic boundary value problem , SIAM Journal of Numerical Analysis , Vol.41 , No.4 , pp.1370 -1387 (Oct, 2003) [논문] 이형천, Analysis and computational methods of Dirichlet boundary optimal control problems for 2D Boussinesq equations , Advances in Computational Mathematics , Vol.17 , pp.1 -21 (Dec, 2002) [논문] 이형천, Dynamics for controlled 2-D Boussinesq syatems with distributed controld , Journal of Mathematical Analysis and Applicaations , Vol.273 , No.2 , pp.457 -479 (Sep, 2002) [논문] 이형천, 신병춘, Dynamics for Linear Feedback Controlled Two-Dimensional Benard Equations with Distributed Controls , Applied Mathematics and Optimization (Spronger-Verlag) , Vol.44 , No.2 , pp.163 -175 (Sep, 2001) [논문] 이형천, Gregory Seregin, Max D. Gunzburger, Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions , Journal of Mathematical Fluid Mechanics , Vol.2 , No.3 , pp.219 -266 (Oct, 2000) [논문] 이형천, Oleg Imanuvilov, Analysis of Neumann boundary optimal control problems for the stationary Boussinesq equations including solid media , SIAM Journal on Control and Optimization , Vol.39 , No.2 , pp.457 -477 (Sep, 2000) [논문] 이형천, 최영미, A least-squares method for optimal control problems for a second-order elliptic system in two dimensions , Journal of Mathematical Analysis and Applications , Vol.242 , pp.105 -128 (Feb, 2000) [논문] 이형천, Analysis of optimal control problems for the 2-D stationary Boussinesq equations , Journal of mathematical analysis and applications , Vol.242 , pp.191 -211 (Feb, 2000) [논문] 이형천, 신병춘, Piecewise optimal distributed controls for 2D Boussinesq equations , Mathematical Methods in the Applied Sciences , Vol.23 , pp.227 -254 (Feb, 2000) [논문] 이형천, Max D. Gunzburger, A penalty/least-squares method for optimal control problems for first-order elliptic systems , Applied Mathematics and Computation , Vol.107 , pp.57 -75 (Jan, 2000) [논문] 이형천, Max D. Gunzburger, Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions , Applied Mathematics and Computation , Vol.100 , No.1 , pp.49 -70 (Apr, 1999) [논문] 이형천, Max D. Gunzburger, Feedback Control of Karman Vortex Shedding , Journal of Applied Mechanics , Vol.63 , No.3 , pp.828 -835 (Sep, 1996) 국내학술논문지 [논문] 이장운, 이형천, The h*p finite element method for optimal control problems constrained by stochastic elliptic PDEs , JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS , Vol.19 , No.4 , pp.387 -407 (Dec, 2015) [논문] 박광일, 이형천, INTERNAL FEEDBACK CONTROL OF THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION , JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS , Vol.18 , No.3 , pp.269 -277 (Sep, 2014) [논문] 이형천, 최영미, ANALYSIS OF VELOCITY-FLUX FIRST-ORDER SYSTEM LEAST-SQUARES PRINCIPLES FOR THE OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES EQUATIONS , Journal of the Korean Society for Industrial and Applied Mathematics , Vol.14 , No.2 , pp.125 -140 (Jun, 2010) [논문] 박광일, 이준엽, 이형천, DISTRIBUTED FEEDBACK CONTROL OF THE BURGERS EQUATION BY A REDUCED-ORDER APPROACH USING WEIGHTED CENTROIDAL VORONOI TESSELLATION , Journal of the Korean Society for Industrial and Applied Mathematics , Vol.13 , No.4 , pp.293 -305 (Dec, 2009) [논문] 이형천, GUAUG-RIPIAO, QIANG DU, Adaptive CVT-based reduced-order modeling of Burgers equation , Journal of the Korean Society for Industrial and Applied Mathematics , Vol.13 , No.2 , pp.141 -159 (Jun, 2009) [논문] 이형천, 김상동, 신병천, 최영미, Analysis of first-order system Least-squares for the optimal control problems for the Navier-Stokes problems , Journal of the Korean Society for Industrial and Applied Mathematics , Vol.11 , No.4 , pp.1 -13 (Dec, 2007) [논문] 이형천, Reduction of Modes for the Computations of Navier-Stokes Equations , Trends in Mathematics , Vol.6 , No.1 , pp.51 -55 (Jun, 2003) [논문] 이형천, 이용훈, Finite element approximation and computations of boundary optimal control problems for the Navier-Stokes flow through a channel with steps , Journal of the Korean Mathematical Society , Vol.36 , No.1 , pp.195 -214 (Jan, 1999) [논문] 이형천, Analysis of some nonlocal boundary value problems associated with feedback control , Bulletin of the Korean Mathematical Society , Vol.35 , No.2 , pp.325 -338 (May, 1998) [논문] 이형천, Iteration Method for Constrained Optimization Problems Governed by PDE , Communications of the Korean Mathematical Society , Vol.13 , No.1 , pp.195 -209 (Jan, 1998) [논문] 이형천, Analysis and Computations of Optimal and Feedback Control Problems for Navier-Stokes Equations , Journal of the Korean Mathematical Society , Vol.34 , No.4 , pp.841 -857 (Nov, 1997) [논문] 이형천, Max D. Gunzburger, Analysis of some boundary value problems for Stokes flows , Kyungpook Mathematical Journal , Vol.35 , No.3 , pp.501 -512 (Mar, 1996) 국제학술발표 [학술회의] 이형천, Reduced Order Modeling for Linear Feedback Control Problems for Tarket Velocity Matching Problem via POD and LSTM , IAS Conference on Industrial and Applied Mathematics , Vol.1 , No.1 , pp.1 -1 (Jan, 2021) [학술회의] 이형천, Computations for Linear Feedback Control Problem of Navier-Stokes Flows using LSTM ROM , UKC 2020 , Vol.1 , No.1 , pp.1 -1 (Dec, 2020) [학술회의] 이형천, Numerical Approximations for Optimal Control Problems of Stochastic PDEs , 9th International Congress on Industrial and Applied Matheamtics , Vol.1 , No.1 , pp.374 -374 (Jul, 2019) [학술회의] 이형천, NUmerical Methods for Stochastic Optimal Control Problems for PDEs with Additive Noise , ICCM 2018 - International Conference on Computational Mathematics , Vol.2108 , No.1 , pp.14 -14 (Oct, 2018) [학술회의] 이형천, Efficient numerical methods for stochastic optimal control problems for PDEs , EASIAM 2018 , Vol.1 , No.1 , pp.28 -28 (Jun, 2018) [학술회의] 이형천, Analysis and Computations of Fluid FLows , EASIAM , pp.3 -3 (Jun, 2017) [학술회의] 이형천, Computations of Stochastic Optimal Control Problems , 20th IMACS World Congress , Vol.1 , No.1 , pp.1 -1 (Dec, 2016) [학술회의] 이형천, Computational approaches for random PDE optimization problems based on different matching functionals , International Conference for the 70th Anniversary of Korean Mathematical Society , Vol.1 , No.1 , pp.1 -1 (Oct, 2016) [학술회의] 이형천, Feedback Control of the Stochastic Burgers Equation with Random Input Data , UKC 2016 (Aug, 2016) [학술회의] 이형천, Gunzburger, Analysis and computations of stochastic optimal control problems for stochastic partial differential equations , 7th European Congress of Mathematics , Vol.1 , pp.603 -603 (Jul, 2016) [학술회의] 이형천, New finite element method to compute accurate solution for Poisson equation with domain singularities , Advanced in Scientific Computing and Applied Mathematics , Vol.1 , No.1 , pp.1 -1 (Oct, 2015) [학술회의] 이형천, Computations of some optimal control problems for stochastic partial differential equations , ICIAM 2015 , Vol.1 , No.1 , pp.173 -173 (Aug, 2015) [학술회의] 이형천, Sparse grid stochastic collocation method for Burgers equation , UKC 2015 , Vol.1 , No.1 , pp.44 -44 (Jul, 2015) [학술회의] 이형천, 남윤, An Efficient Sparse Grid Stochastic Collocation Method for Stochastic Burgers Equations , ICM 2014 Sattellite Conference - International Workshop on Computational Mathematics (Aug, 2014) [학술회의] 남윤, 이형천, Sparse grid stochastic collocation method for stochastic Burgers equation driven by additive noises , EASIAM 2014 The 10th East Asia Section of SIAM Confernce , Vol.1 , No.1 , pp.70 -70 (Jun, 2014) [학술회의] 이형천, Partial Differential Equations using Reduced-order Modeling , The second international conference on Engineering and computational mathematics , Vol.2013 , No.1 , pp.52 -53 (Dec, 2013) [학술회의] 이형천, A posteriori Error Estimates for Stabilized P1 Nonconforming Aprroximation of the Stokes Problem , International Workshop on Computational and Applied Mathematics , pp.13 -13 (May, 2013) [학술회의] 이형천, A stochastic sparse grid collocation method for stochastic optimal control problem , International Conference in Mathematics and Applications 2013 , Vol.1 , No.1 , pp.32 -32 (Jan, 2013) [학술회의] 이형천, A sparse grid collocation method for Stochastic optimal control problems , 2012 Academic Exchange Meeting of Mathematical workers betwween China and Korea (Dec, 2012) [학술회의] 이형천, A stochastic sparse grid collocation method for stochastic optimal control problems , The second international conference on scientific computing , Vol.2 , No.1 , pp.23 -23 (May, 2012) [학술회의] 이형천, Analysis and Finite Element Approximations of Optimal COntrol Problems for Stochastic PDEs , SIAM Conference on Uncertainty Quantification , pp.88 -88 (Apr, 2012) [학술회의] 이형천, 이장운, Stochastic Finite Element method for stochastic control problems , International Conference on Boundary and Interior Layers , Vol.1 , No.1 , pp.1 -1 (Feb, 2012) [학술회의] 이형천, Numerical Approximations for Stochastic Optimal Control Problems , 7th International Congress on Industrial and Applied Mathematics , Vol.1 , No.1 , pp.324 -325 (Jul, 2011) [학술회의] 이형천, Analysis and Computations of Optimal Control Problems for Stochastic Partial Differential Equations , Workshop on Foundations of Numerical PDEs, FoCM2011 , Vol.1 , No.1 , pp.1 -1 (Jul, 2011) [학술회의] 이형천, Max D Gunzburger, 이장운, Analysis and Computations of an Optimal Control Problems for Stochastic PDEs , Yonsei CSE International Workshop on CFD & Computational Mathematics , Vol.1 , No.1 , pp.119 -134 (Sep, 2010) [학술회의] 이형천, Analysis and Finite Element Approximations of Optimal Neumann Boundary Control Problems for Stochastic PDEs , The 6th EAST ASIA SIAM , Vol.1 , No.1 , pp.37 -37 (Jun, 2010) [학술회의] 이형천, FInite element approximations of stochastic optimal Neumann boundary control problems , International Workshop on Scientific Computing and Nonlinear Partial Differential Equations , Vol.1 , pp.3 -4 (Jun, 2010) [학술회의] 이형천, 확률편미분방정식의 최적제어 문제에 대한 수치해법 , Uncertainty Quantification , Vol.1 , No.1 , pp.13 -13 (May, 2010) [학술회의] 이형천, POD and CVT based reduced-order modeling for partial differential equations , 제 1 회 중국수학회-대한수학회 공동학술회의 , Vol.1 , No.1 , pp.92 -92 (May, 2010) [학술회의] 이형천, POD and CVT based reduced-order modeling for partial differential equations , Workshop on Challenges and Advances in Computational Material Simulation and Design , Vol.2009 , No.1 , pp.8 -8 (Jul, 2009) [학술회의] 이형천, First-order system least-squares methods for a flux control problem by the Stokes flow , The 5th EASIAM Conference (부르나이) , Vol.2009 , No.1 , pp.34 -34 (Jun, 2009) [학술회의] 이형천, Optimal Control Problems for the two dimensional Rayleih-B\'{e}nard convection by a gradient method , The second international conference on information and systems sciences , Vol.2008 , No.1 , pp.1 -1 (Dec, 2008) [학술회의] 이형천, An adaptive CFCVDT meshing schemes for Navier-Stokes equations , The second China-Japan-Korea Conference on Numerical Mathematics , Vol.2 , No.1 , pp.7 -7 (Aug, 2008) [학술회의] 이형천, Differential Equations Using Reduced Order Modeling , UKC2008 , Vol.2008 , No.1 , pp.36 -36 (Aug, 2008) [학술회의] 이형천, Reduced-Order Modeling Of Optimal Control Problems For Navier-Stokes Equations , The 3rd East Asia SIAM Conference , Vol.3 , No.1 , pp.1 -1 (Nov, 2007) [학술회의] 이형천, Lili Ju, Adaptive finite-element meshing scheme for the Steady Navier-Stokes Equations , 6th International Congress on Industrial and Applied Mathematics , Vol.2007 , No.1 , pp.1 -1 (Jul, 2007) [학술회의] 이형천, Computations of optimal control problems for Navier-Stokes flows using POD and CVT-based ROM , International Conference on Recent Developments of Numerical Schemes for Flow Problems , Vol.2007 , No.1 , pp.81 -86 (Jun, 2007) [학술회의] 이형천, Adaptive Numerical Simulations of the Steady Navier-Stokes Equations , NIMS Interantional Workshop on Fluid Dynamics , Vol.2007 , No.1 , pp.1 -1 (Jun, 2007) [학술회의] 이형천, Reduced Order Modeling of Partial Differential Equations Via CVT , 2007 SIAM Confernce on Computational Science and Engineering , Vol.2007 , No.1 , pp.105 -105 (Feb, 2007) [학술회의] 이형천, Redeuced Order Modeling of PDE and MD , International conference on Recent Advances in Scientific Computationa , Vol.2006 , No.1 , pp.18 -18 (Jun, 2006) [학술회의] 이형천, 박광일, Feedback control of the Burgers equation by a CVT-based reduced-order modeling , MAASS 85th Annual meeting , Vol.85 , pp.1 -1 (Mar, 2006) [학술회의] 이형천, Computations of optimal control problems for the stationary BEnard problem , The 2nd International Conference on Scientific Computing and Partial Differential Equations , Vol.2 , No.1 , pp.61 -61 (Dec, 2005) [학술회의] 이형천, 최영미, Linear feedback control problems for the Boussinesq equations , Workshop on Numerical Analysis of Flow Problems and Validated Computations , Vol.2005 , No.1 , pp.30 -39 (Nov, 2005) [학술회의] 이형천, Maria Emelianenko, Qiang Du, Xiaoqiang Wang, Ideal point distributions, best mode selections and optimal spatial partitions via centroidal voronoi tesseallations , The 2nd International Symposium on Voronoi Diagrams in Science and Engineering , Vol.2 , No.1 , pp.325 -333 (Oct, 2005) [학술회의] 이형천, 이성환, Reduced-order modeling of Burgers equations based on centroidal Voronoi tessellation , The 2nd International Symposium on Voronoi Diagrams in Science and Engineering , Vol.2 , No.1 , pp.346 -357 (Oct, 2005) [학술회의] 이형천, Reduced-order modeling of partial differential equations via POD and CVT , JSAIM 2005 Annual Meeting , Vol.2005 , No.1 , pp.125 -125 (Sep, 2005) [학술회의] 이형천, Optimal control problems for thermistor system , The sixth SIAM Confernece on Control and Its Applications , Vol.6 , No.1 , pp.218 -218 (Jul, 2005) [학술회의] 이형천, Analysis of optimal control problem for the two dimensional thermistor system , 제3회 한중 수치해석 워크샵 , Vol.2005 , No.1 , pp.1 -1 (Feb, 2005) [학술회의] 이형천, Centroidal Voronoi Tessellations based reduced-order modeling of complex flows including control of fluid flows , SIAM COnference on Computational Sciences and Engineering , Vol.2005 , No.1 , pp.280 -280 (Feb, 2005) [학술회의] 이형천, John Burkardt, Max D. Gunzburger, PDE Model Reduction by Clustering , 2004 SIAM Annual meeting , No.1 , pp.145 -146 (Jul, 2004) [학술회의] 이형천, Some numerical computations of reduced order model of complex systems , Recent advances in adaptive computation , Vol.2004 , No.1 , pp.36 -36 (May, 2004) [학술회의] 이형천, Analysis and computations of linear feedback control problems for the Boussinesq equations , Com^2MaC Conference on Computatational Mathematics , Vol.2 , No.1 , pp.33 -33 (Dec, 2003) [학술회의] 이형천, Burkardt, John, Du, Qiang, Gunzburger, Max, Reduced order modeling of complex systems , 20th Biennial confernece on Numerical Anaysis 2003 , Vol.217 , No.1 , pp.29 -38 (Jun, 2003) [학술회의] 이형천, Pseudo-Spectral Least-Squares for Elliptic and Stokes Problems , 2003 SIAM Annual Meeting , Vol.2003 , No.1 , pp.81 -81 (Jun, 2003) [학술회의] 이형천, Reduced-order modeling of Navier-Stokes system based on centroid Voronoi tessellaation , 제2회 한중 수치해석 워크샵 , Vol.2 , No.1 , pp.12 -12 (Feb, 2003) [학술회의] 이형천, Computations of a velocity and temperature tracking problem for the Boussinesq equations with piecewise distributed controls , Navier-Stokes Equations and Related Topics , Vol.8 , No.1 , pp.42 -42 (Sep, 2002) [학술회의] 이형천, Fully discrete approximation of a velocity and temperature tracking problem for the Boussinesq equations with piecewise distributed controls , Satellite conference on Scientific Computing of ICM2002-Beijing , Vol.2002 , No.1 , pp.41 -41 (Aug, 2002) [학술회의] 이형천, Analysis and computations of Nuemann boundary optimal control problems for the stationary Boussinesq equations , 40th IEEE Conference on Decision and Control , Vol.40 , No.1 , pp.4503 -4508 (Dec, 2001) [학술회의] 이형천, Study on viscous incompressible flows around a moving rigid body , International conference on partial differential equations , Vol.2001 , No.1 , pp.1 -13 (Dec, 2001) [학술회의] 이형천, Analysis and computations of viscous incompressible flows around a moving rigid body , SIAM Annual Meeting , Vol.2001 , No.1 , pp.134 -134 (Jul, 2001) [학술회의] 이형천, Analysis of viscous incompressible flows around a moving rigid body , 965회 미국수학회 정기학술회의 , Vol.965 , No.1 , pp.76 -76 (Apr, 2001) [학술회의] 이형천, Numerical methods for incompressible viscous flow around moving rigid bodies , The first Chinese-Korean Joint Workshop on Recent Advances in Numerical Analysis and Its Application , Vol.1 , No.1 (Feb, 2001) [학술회의] 이형천, 전영목, Dynamics for controlled Boussinesq equations , Pacific Rim Dynamical Systems Conference , pp.84 -84 (Aug, 2000) [학술회의] 이형천, Optimal control of 2D Boussinesq equations , International workshop on differntial equations , Vol.1999 , No.1 , pp.110 -110 (Jul, 1999) [학술회의] 이형천, 김수현, 최영미, Least squares methods for optimal control problems , The 19th Daewoo workshop , Vol.1999 , No.1 , pp.1 -17 (Jul, 1999) [학술회의] 이형천, Optimal control of Boussinesq system , Recent Trends and Advances in PDEs and Numerical PDEs , pp.9 -9 (Aug, 1998) [학술회의] 이형천, Analysis and approximation of optimal control problems for div-curl systems in three dimensions , Inverse problems and related topics (Feb, 1998) [학술회의] 이형천, Analysis and Computation of boundary optimal control of incompressible flows , The 4th Korea-Japan PDE Conference (Dec, 1996) 국내학술발표 [학술회의] 이형천, Reduced order modeling for non-linear PDEs using deep neural network , 대한수학회 봄 연구 발표회 , Vol.1 , pp.40 -40 (Jul, 2020) [학술회의] 이형천, Applied Mathematics, Scientific Computing and Interdisciplinary Study , 한국산업응용수학회 2012 학술대회 , Vol.1 , No.1 , pp.11 -11 (Nov, 2012) [학술회의] 이형천, An optimal control problem of stochastic partial differential equations , 한국산업응용수학회 학술대회 , Vol.2 (Nov, 2011) [학술회의] 이형천, Optimal control problems for the two dimensional Rayleih-Benard convection , NIMS WOrkshop "Mathematical Analysis, Numerics and Applications in fluid and gas dynamics , Vol.2009 , No.1 , pp.1 -1 (Feb, 2009) [학술회의] 이형천, POD, CVT를 이용한 나비어-스톡스 방정식의 제어문제의 모델 리덕션 , 2007년도 대한수학회 가을연구발표회 , Vol.44 , No.2 , pp.105 -106 (Oct, 2007) [학술회의] 이형천, 나비어-스톡스 유체의 Reduced-order 모델링 , 2005 대한수학회 정기총회 및 가을연구발표회 , Vol.2005 , No.2 , pp.39 -39 (Oct, 2005) [학술회의] 이형천, Reduced-order optimal control problems for Navier-Stokes equations , 제13회 응용수학포럼 , Vol.13 , No.1 , pp.6 -6 (Aug, 2004) [학술회의] 이형천, 최영미, Analysis and approximation of linear feedback control problems for the Boussinesq equations , 2003년도 KSCAM 학술발표회 , Vol.2003 , No.1 , pp.6 -6 (Sep, 2003) [학술회의] 이형천, Centroidal Voronoi tessellation-based reduced-order modeling of Navier-Stokes equations , 2003년도 KSCAM 학술발표회 , Vol.2003 , No.1 , pp.1 -1 (Sep, 2003) [학술회의] 이형천, 최영미, Computational methods for stabilization of the Boussinesq equations via internal feedback controls , 제11회 응용수학포럼 , Vol.11 , No.1 , pp.19 -19 (Aug, 2003) [학술회의] 이형천, Reduced-ordered modeling for computations for the time-dependent Navier-Stokes equations , 2002년도 가을 연구발표회 , Vol.39 , No.2 , pp.56 -56 (Oct, 2002) [학술회의] 이형천, Computational methods for optimal control problems of fluid flows , 2002 한국전산응용수학회 학술발표대회 , Vol.2002 , pp.20 -20 (Sep, 2002) [학술회의] 이형천, Computations of optimal control problems for the stationary Boussinesq equations , Conference on Copmutational Mathematics , Vol.1 , No.1 , pp.78 -79 (Jul, 2001) [학술회의] 이형천, 점성, 비압축성 유체의 제어 , 대한수학회 봄 연구발표화 , Vol.36 , No.1 , pp.34 -34 (Apr, 1999) [학술회의] 이형천, O.Y Imanuvilov, Analysis of optimal control problems for Boussinesq system , 대한수학회 1998년 가을 연구발표회 , Vol.35 , No.2 , pp.25 -25 (Aug, 1998) [학술회의] 이형천, Optimal control problems in fluid mechanics , '98 수리과학정보센터 학술대회 , Vol.2 , pp.1 -9 (Aug, 1998) [학술회의] 이형천, New Iteration Method for Constrained Optimization Problems , 대한수학회 논문 초록집 , Vol.34 , No.2 , pp.52 -52 (Oct, 1997) [학술회의] 이형천, Analysis and Least Squares Finite Element Approximation of Optimal Control Problems , _ (Oct, 1997) [학술회의] 이형천, Karhunen-Loeve Decomosition을 이용한 캐오스 계산 , 정기학술대회 , Vol.33 , No.1 (Apr, 1996) 저서 및 번역 [저서] 남명자, 김공열, 김덕중, 김병기, 김호섭, 박옥걸, 방승진, 이광영, 이승호, 이중섭, 이형천, 전영목, 전재석, 하영화, 강성빈, 권오남, 권이종, 김유태, 김정일, 박영숙, 백순근, 송교식, 송병국, 우마고시, 이성락, 임선하, 장훈, 한옥동, 한인기, 수학 1정 자격연수 교재 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