Mathematical Sciences

Areas of Expertise

Applied Mathematics
Adams Hall

Office Hours

by appointments


University of California, Los Angeles, 2004 Ph.D.

Awards and Affiliations

NSF Grant DMS 1818948 Numerical Spectral Study of Elliptic Operators (PI) 06/01/18-05/31/21

Collaboration Grants for Mathematicians, Simons Foundation, 09/01/2017-08/30/2018

NSF Grant DMS 1318364 (1216742): Closest point methods for eigenvalue problems from inhomogeneous structures (PI) 01/01/13 (08/01/12)-07/31/15

NSF Grant DMS 0811003: Shape and topological optimization on elliptic eigenvalue problems in inhomogeneous media (PI) 07/01/08-06/30/11

Institute of Mathematical Sciences Award, Claremont Graduate University, 2017

IEEE Signal Processing Society 2013 Best Paper Award

Alfred P. Sloan Research Fellowship, 2009

IMA Impacts; NSF Highlights: Mind-Bending Math, 2006

Medical Image Analysis second Best MICCAI Paper Award, 2005

Research and Publications

Linear Convergence of A Rearrangement Method for the One-Dimensional Poisson Equation by Chiu-Yen Kao, Seyyed Abbas Mohammadi, and Braxton Osting, Journal of Scientific Computing 86(1), pages 1-18, 2021

Accommodative Exercises to Lower Intraocular Pressure by Thomas J. Stokkermans, Jeremy C. Reitinger, George Tye, Chiu-Yen Kao, Sangeetha Ragupathy, Huachun A. Wang, and Carol B. Toris, Journal of Opfthalmology, 2020, pages 1-7, 2020

Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions by Di Kang, Patrick Choi, Chiu-Yen Kao, SIAM Journal on Applied Mathematics, 80 (4), pages 1607-1628, 2020

Ciliary Muscle Thickness in Adults with Down Syndrome by Heather A Anderson, Melissa D. Bailey, and Chiu-Yen Kao, Investigative Ophthalmology & Visual Science, 60(9), page 4306, 2019

Maximal Convex Combinations of Sequential Steklov Eigenvalues by Weaam Alhejaili and Chiu-Yen Kao, Journal of Scientific Computing, 79(3), pages 2006-2026, 2019

Numerical Studies of the Steklov Eigenvalue Problem via Conformal Mappings by Weaam Alhejaili and Chiu-Yen Kao, Applied Mathematics and Computation, 347, pages 785-802, 2019

Extremal Spectral Gaps for Periodic Schrödinger Operators by Chiu-Yen Kao and Braxton Osting, ESAIM: Control, Optimisation and Calculation of Variations, 25, pages 1-35, 2019

Minimization of Inhomogeneous Biharmonic Eigenvalue Problems by Di Kang and Chiu-Yen Kao, Applied Mathematical Modelling, 51, pages 587-604, 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

Effect of Accommodative Therapy on Ciliary Muscle Thickness by Marjean T. Kulp, Nahrain Shasteen, G Lynn Mitchell, Melissa Bailey, Chiu-Yen Kao, Investigative Ophthalmology & Visual Science, 58(8), page 2710, 2017

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, 328, 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

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, 64(3), pages 837-857, Journal of Scientific computing, 2015

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