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   My research papers include

Maximization of Laplace-Beltrami Eigenvalues on Closed Riemannian Surfaces by Chiu-Yen Kao, Rongjie Lai, and Braxton Osting, ESAIM: Control, Optimisation and Calculation of Variations, 23(2), pages 685-720, 2017

Computational Methods for Extremal Steklov Problems by Eldar Akhmetgaliyev, Chiu-Yen Kao, and Braxton Osting, SIAM Journal on Control and Optimization, 55(2), pages 1226-1240, 2017

Minimizing Eigenvalues for Inhomogeneous Rods and Plates by Weitao Chen, Ching-Shan Chou, and Chiu-Yen Kao, Journal of Scientific Computing, 69, pages 983-1013, 2016

Absolute stability and synchronization in neural field models with transmission delays by Chiu-Yen Kao, Chih-Wen Shih, and Chang-Hong Wu, Physica D: Nonlinear Phenomena, Volumes 328-329, Pages 21-33, 2016

A new Algorithm to Simulate First Exit Times for Vector of Arithmetic Brownian Motions with an Application to Finance by Chiu-Yen Kao, Qidi Peng, Henry Schellhorn, and Lu Zhu, Journal of Applied Probability and Statistics, 10(2), pages 41-65, 2015

On the Benilov-Vynnycky Blow-up Problem by Marina Chugunova, Chiu-Yen Kao, and Sarun Seepen, Discrete and Continuous Dynamical Systems B, 20(5), pages 1443-1460, 2015

Lax-Friedrichs Multigrid Fast Sweeping Methods for Steady State Problems for Hyperbolic Conservation Laws by Weitao Chen, Ching-Shan Chou, and Chiu-Yen Kao, Journal of Scientific Computing, 64(3), pages 591-618, 2015

A Fast Explicit Operator Splitting Method for Modified Buckley-Leverett Equations by Chiu-Yen Kao, Alexander Kurganov, Zhuolin Qu, and Ying Wang, Journal of Scientific Computing, 64(3), pages 837-857, 2015

Bounded Domain Problem for the Modified Buckley-Leverett Equation by Ying Wang and Chiu-Yen Kao, Journal of Dynamics and Differential Equations, 26(3), pages 607-629, 2014

Gyrification differences in Children and Adolescents with Velocardiofacial Syndrome and Attention- Deficit/Hyperactivity Disorder: A Pilot Study by Sabine E. Mous, Canan Karatekin, Chiu-Yen Kao, Irving Gottesman, Danielle Posthuma, Tonya J.H. White, Psychiatry Research Neuroimaging, 221(2), pages 169-171, 2014

On the Dynamics of Radially Symmetric Granulomas by Avner Friedman, Chiu-Yen Kao, and Rachel Leander, Journal of Mathematical Analysis and Applications, 412(2), pages 776-791, 2014

Minimal Convex Combinations of Three Sequential Laplace-Dirichlet Eigenvalues by Braxton Osting and Chiu-Yen Kao, Applied Mathematics and Optimization, 69(1), pages 123-139, 2014

An Adaptive Spectral/DG Method for a Reduced-Phase Space Based Level Set Approach to Geometrical Optics on Curved Elements by Bernardo Cockburn, Chiu-Yen Kao, and Fernando Reitich, Journal of Computational Physics, 259, pages 636-649, 2014

Ciliary Muscle Thickness in Anisometropia by Mallory K. Kuchem, Loraine Sinnott, Chiu-Yen Kao, and Melissa D. Bailey, Optometry and Vision Science, 90(11), pages 1312-1320, 2013

Region-Specific Relationships Between Refractive Error and Ciliary Muscle Thickness in Children by Andrew D. Pucker, Loraine T. Sinnott, Chiu-Yen Kao, Melissa D. Bailey, Journal of Investigative Ophthalmology & Visual Science, 54(7), pages 4710-4716, 2013

Minimal Convex Combinations of Sequential Laplace-Dirichlet Eigenvalues by Braxton Osting and Chiu-Yen Kao, SIAM Journal of Scientific Computing, 35(3), pages B731-B750, 2013

Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations by Xiaobing Feng, Chiu-Yen Kao, and Thomas Lewis, Journal of Computational and Applied Mathematics, 2013

Geometric Computation of Human Gyrification Indexes from Magnetic Resonance Images by Shu Su, Tonya White, Marcus Schmidt, Chiu-Yen Kao, and Guillermo Sapiro, Human Brain Mapping, 34(5), pages 1230-1244, 2013

Quantification of Age-Related and per Diopter Accommodative Changes of the Lens and Ciliary Muscle in the Emmetropic Human Eye by Kathryn Richdale, Loraine T. Sinnott, Mark A. Bullimore, Peter Wassenaar, Petra Schmalbrock, Chiu-Yen Kao, Samuel Patz, Donald Mutti, Adrian Glasser, Karla Zadnik, Investigative Ophthalmology & Visual Science, 54(2), pages 1095-1105, 2013

Efficient Rearrangement Algorithms for Shape Optimization on Elliptic Eigenvalue Problems by Chiu-Yen Kao and Shu Su, Journal of Scientific Computing, 54, pages 492-512, 2013

Lax-Friedrichs Fast Sweeping Methods for Steady State Problems for Hyperbolic Conservation Laws by Weitao Chen, Ching-Shan Chou and Chiu-Yen Kao, Journal of Computational Physics, 234, pages 452- 471, 2013

Central Schemes for the Modified Buckley-Leverett Equation by Ying Wang and Chiu-Yen Kao, Journal of Computational Science, 4, pages 12-23, 2013

Mitochondrial Dynamics and Motility Inside Living Vascular Endothelial Cell: Role of Bioenergetics by Randy J. Giedt, Douglas R. Pfeiffer, Anastasios Matzavinos, Chiu-Yen Kao and B. Rita Alevriadou, Annals of Biomedical Engineering, 40 (9), pages 1903-1916, 2012

Propagation of cutaneous thermal injury:A mathematical model by Chuan Xue, Ching-Shan Chou, Chiu-Yen Kao, Chandan K. Sen, Avner Friedman, in press, Wound Repair and Regeneration, 20(1), Pages 114-122, 2012

Changes in Ciliary Muscle Thickness During Accommodation in Children by Helen Annie Lewis, Chiu- Yen Kao, Loraine T. Sinnott, and Melissa D. Bailey, Optometry and Vision Science, 89(5), pages 727-737, 2012

Measuring Changes in Ciliary Muscle Thickness with Accommodation in Young Adults by Laura Ashley E. Lossing, Loraine T. Sinnott, Chiu-Yen Kao, Kathryn Richdale, and Melissa D. Bailey, Optometry and Vision Science, 89(5), pages 719-726, 2012

Evolution of Mixed Dispersal in Periodic Environments by Chiu-Yen Kao, Wenxian Shen, and Yuan Lou, Discrete and Continuous Dynamical Systems B, 17, pages 2047-2072, 2012

Asymptotic limit in a cell differentiation model with consideration of transcription by Avner Friedman, Chiu-Yen Kao, Chih-Wen Shih, Journal of Differential Equations, 252, pages 5679-5711, 2012

Princip al Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions by Michael Hintermüller, Chiu-Yen Kao, Antoine Laurain, Applied Mathematics adn Optimization, 65, Pages 111-146, 2012

Numerical Study of the KP Equation for Non-Periodic Waves by Chiu-Yen Kao and Yuji Kodama, Mathematics and Computers in Simulation, 82, pages 1185-1218, 2012

Semi-Automatic Extraction Algorithm of Ciliary Boday from Visante Images by Chiu-Yen Kao, Kathryn Richdale, Loraine Sinnott and Melissa Bailey, Optometry and Vision Science, 88(2), pages 275-289, 2011

Multiple Scales in Streamer Discharges, with an Emphasis on Moving Boundary Approximations by Ute Ebert, Fabian Brau, Gianne Derks, Willem Hundsdorfer, Chiu-Yen Kao, Chao Li, Alejandro Luque, Bernard Meulenbroek, Sander Nijdam, Valeria Ratushnaya, Lothar Schäfer, and Saleh Tanveer, Nonlinearity, 24, pages C1-C26, 2011

Augmented Coupling Interface Method for Solving Eigenvalue Problems with Sign-changed Coefficients by Yu-Chen Shu, Chiu-Yen Kao, I-Liang Chern, and Chien C. Chang, Journal of Computational Physics, 229, pages 9246-9268, 2010

A moving boundary model motivated by electric breakdown: II. Initial value problem by C-Y Kao F. Brau, U. Ebert, L. Schafer and S. Tanveer, Physics D: Nonlinear Phenomena, 239(16), Pages 1542-1559, 2010

Cell Cycle Control at the First Restriction Point and its Effect on Tissue Growth by Avner Friedman, Bei Hu and Chiu-Yen Kao, Journal of Mathematical Biology, 60(6), pages 881-907, 2010

Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation by Yunyun Yang, Chunming Li, Chiu-Yen Kao, and Stanly Osher, Advances in Visual Computing, 6454 Lecture Notes in Computer Sciences, Pages 117-128, 2010

Numerical study of the KP equation for non-periodic waves by Chiu-Yen Kao and Yuji Kodama, Mathematics and Computers in Simulation, 82, pages 1185-1218, 2010

The Development of Gyrification in Childhood and Adolescence by Tonya White, Shu Su, Marcus Schmidt, Chiu-Yen Kao, and Guillermo Sapiro Brain and Cognition, 72(1), Pages 36-45, 2010

Random Dispersal vs Non-Local Dispersal by Chiu-Yen Kao, Yuan Lou, and Wenxian Shen, Vol 26(2), Pages 551-596, Discrete and Continuous Dynamical Systems, 2010

Cell Cycle Control at the First Restriction Point and its Effect on Tissue Growth by Avner Friedman, Bei Hu and Chiu-Yen Kao, Journal of Mathematical Biology, 60(6), Pages 881-907, 2010

Modeling Oxygen Transport in Surgically Reconstructed Tissues by Anatasios Matzavinos, Chiu-Yen Kao, J. Edward F. Green, Alok Sutradhar, Michael Miller, and Avner Friedman, 106(29), Pages 12091-12096, Proceedings of the National Academy of Sciences, 2009

Image Segmentation with Simultaneous Illuminization and Reflectance Estimation: An Energy Minimization Approach by Chunming Li, Fang Li, Chiu-Yen Kao, Chenyang Xu, Pages 702-708, Proceedings ICCV, 2009

Active Contours Driven by Local and Global Intensity Fitting Energy with Application to Brain MR Image Segmentation by Li Wang, Chunming Li, Quansen Sun, Deshen Xia, and Chiu-Yen Kao, 33(7), Pages 520-531, Journal of Computerized Medical Imaging and Graohics, 2009

Asymptotic Phases in a Cell Differentiation Model by Avner Friedman, Chiu-Yen Kao, Chih-Wen Shih, 247(3), Pages 726-769, Journal of Differential Equations, 2009

Legendre-Transfrom-Based Fast Sweeping Methods for Static Hamilton-Jacobi Equations on Triangulated Meshes by Chiu Yen Kao, Stanley Osher and Jianliang Qian, Journal of Computational Physics, 227(24), Pages 209-225,2008

Properties of A Level Set Algorithm for the Visibility Problems by by Chiu-Yen Kao and  Richard Tsai, UCLA Math CAM Reports 06-04 , Journal of Scientific Computing,35(2), Pages 170-191, 2008

Minimization of Region-Scalable Fitting Energy for Image Segmentation by Chunming Li, Chiu-Yen Kao, John C. Gore, and Zhaohua Ding, IEEE Transactions on Image Processing, 17(10), 2008

Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains by Chiu-Yen Kao, Yuan Lou and Eiji Yanagida, Mathematical Biosciences and Engineering 5(2), Pages 315-335, 2008

Maximization of the Quality Factor of an Optical Resonator by Chiu-Yen Kao and Fadil Santosa, Wave Motion 45(4), Pages 412-427, 2008

Brain MR Image Segmentation Using Local and Global Intensity Fitting Active Contours/Surfaces by Li Wang, Chunming Li, Quansen Sun, Deshen Xia, and Chiu-Yen Kao, MICCAI, Pages 384-392, 2008

Brain MR Image Segmentation by Minimizing Scalable Neighborhood Intensity Fitting Energy: A Multiphase Level Set Approach by Chunming Li, Li Wang, Chiu-Yen Kao, John C. Gore, and Zhaohua Ding, ISMRM 2008

Incorporating Topological Derivatives into Shape Derivatives Based Level Set Methods by Lin He, Chiu-Yen Kao and Stanley Osher, UCLA Math CAM Report 06-44, Journal of Computational Physics, 225, Pages 891-909,2007

A Geometric Method for Automatic Extraction of Sulcal Fundi by Chiu-Yen Kao, Michael Hofer, Guillermo Sapiro, Kelly Rehm, Josh Stern, and David Rottenberg, IEEE Transactions on Medical Imaging, 26, Pages 530-540, 2007

Implicit Active Contours Driven by Local Binary Fitting Energy by Chunming Li, Chiu-Yen Kao, John C. Gore, and Zhaohua Ding, IEEE Computer Vision and Pattern Recognition (CVPR),383014, 2007

A Geometric Method for Automatic Extraction of Sulcal Fundi by Chiu-Yen Kao, Michael Hofer, Guillermo Sapiro, Josh Stern, and David Rottenberg, IMA preprints 2078 (ISBI, Pages 1168-1171) , Apr, 2006

Maximizing Band Gaps in Two Dimensional Photonic Crystals by Using Level Set Methods by Chiu-Yen Kao, Stanley Osher, and Eli Yablonovitch, UCLA Math CAM Reports 05-05, Applied Physics B: Lasers and Optics, 81, Pages 235-244,2005

White Matter Tractography by Anisotropic Wavefront Evolution and Diffusion Tensor Imaging by Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable, and Lawrence H. Staib, UCLA Math CAM Reports 05-03, Medical Image Analysis,9, Pages 427-440,2005

The Lax-Friedrichs Sweeping Method for Optimal Control Problems in Continuous and Hybrid Dynamics by Chiu Yen Kao, Carmeliza Navasca, and Stanley Osher, UCLA Math CAM Reports 04-24, Nonlinear Analysis, 63, Pages e1561-e1572,2005

Fast Sweeping Methods for Hamilton-Jacobi Equations by Chiu Yen Kao, Stanley Osher and Yen-His Tsai, UCLA Math CAM Reports 02-66, SIAM Numerical Analysis, 42, Pages 2612-2632,2005

Estimation of Anatomical Connectivity by Anisotropic Front Propagation and Diffusion Tensor imaging by Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable, and Lawrence H. Staib, UUCLA Math CAM Reports 04-08, MICCAI (2) 2004: Pages 663-670

Lax-Friedrichs Sweeping Scheme for Static Hamilton-Jacobi Equations by Chiu Yen Kao, Stanley Osher and Jianliang Qian, UCLA Math CAM Report 03-38, Journal of Computational Physics,196(1), Pages 367-391,2004

Recognizing Sand Ripple Patterns from Side-scan Sonar Images by John David, Gunay Dogan, Yevgeny Goncharov, Chiu Yen Kao, and Pakinee Suwannajan,, NCSU Reports, July 2002