PhD in Mathematics
University of California, Los Angeles, 2006
A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces
Article
A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
Article
Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles
Article
Spherical Essentially Non-oscillatory (SENO) Interpolation
Article
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems
Article
Article
A Level Set Method for the Dirichlet k-Partition Problem
Article
A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains
Article
Computing the finite time Lyapunov exponent for flows with uncertainties
Article
Eulerian Algorithms for Computing Some Lagrangian Flow Network Quantities
Article
Eulerian partial-differential-equation methods for complex-valued eikonals in attenuating media
Article
Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations
Article
Ray-Illumination Compensation for Adjoint-State First-Arrival Traveltime Tomography
Article
An Adjoint State Method for An Schrödinger Inverse Problem
Conference paper
A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints
Article
Article
Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes
Article
Guarantees of riemannian optimization for low rank matrix completion
Article
On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator
Article
Article
Article
Article
Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories
Article
Article
Recent Developments in Eulerian Approaches for Visualizing Continuous Dynamical System
Conference paper
A Simple Explicit Operator-splitting Method for Effective Hamiltonians
Article
A weak formulation for the multiphase Stokes flow problem without body fitting grids
Article
An Improved Eulerian Approach for the Finite Time Lyapunov Exponent
Article
Article
Modified Virtual Grid Difference For Discretizing the Laplace-beltrami Operatior on Point Clouds
Article
Article
Article
Eulerian methods for visualizing continuous dynamical systems using Lyapunov exponents
Article
A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces
Article
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
Article
Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid
Article
Article
A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography
Article
An improved fast local level set method for three-dimensional inverse gravimetry
Article
Primal-dual method for continuous max-flow approaches
Conference paper
A Cell Based Particle Method for Modeling Dynamic Interfaces
Article
A level-set adjoint-state method for crosswell transmission-reflection traveltime tomography
Article
Article
An Eulerian Method for Computing the Coherent Ergodic Partition of Continuous Dynamical Systems
Article
Fast Huygens Sweeping Methods for Schrödinger Equations in the Semi-Classical Regime
Article
Article
Article
Article
A three-dimensional inverse gravimetry problem for ice with snow caps
Article
The backward phase flow method for the Eulerian finite time Lyapunov exponent computations
Article
A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation
Conference paper
Article
A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation
Conference paper
A Fast Local Level Set Method for Inverse Gravimetry
Article
Article
An adjoint state method for numerical approximation of continuous traffic congestion equilibria
Article
An Eulerian approach for computing the finite time Lyapunov exponent
Article
Article
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
Article
A grid based particle method for evolution of open curves and surfaces
Article
A Grid Based Particle Method for Moving Interface Problems
Article
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime
Article
Expectation-Maximization Algorithm with Local Adaptivity
Article
Eulerian Gaussian Beams for High Frequency Wave Propagation
Article
Transmission Traveltime Tomography Based on Paraxial Liouville Equations and Level Set Formulations
Article
A Local Level Set Method for Paraxial Geometrical Optics
Article
An Adjoint State Method for 3D Transmission Traveltime Tomography Using First Arrival
Article
A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces
A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem on Implicit Surfaces
Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems
A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains
Computing the finite time Lyapunov exponent for flows with uncertainties
Eulerian Algorithms for Computing Some Lagrangian Flow Network Quantities
Eulerian partial-differential-equation methods for complex-valued eikonals in attenuating media
Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations
Ray-Illumination Compensation for Adjoint-State First-Arrival Traveltime Tomography
A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints
Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes
Guarantees of riemannian optimization for low rank matrix completion
On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator
A Simple Explicit Operator-splitting Method for Effective Hamiltonians
A weak formulation for the multiphase Stokes flow problem without body fitting grids
An Improved Eulerian Approach for the Finite Time Lyapunov Exponent
Modified Virtual Grid Difference For Discretizing the Laplace-beltrami Operatior on Point Clouds
A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography
An improved fast local level set method for three-dimensional inverse gravimetry
A Cell Based Particle Method for Modeling Dynamic Interfaces
A level-set adjoint-state method for crosswell transmission-reflection traveltime tomography
An Eulerian Method for Computing the Coherent Ergodic Partition of Continuous Dynamical Systems
Fast Huygens Sweeping Methods for Schrödinger Equations in the Semi-Classical Regime
A Simple Explicit Operator-splitting Method for Effective Hamiltonians
Article
A weak formulation for the multiphase Stokes flow problem without body fitting grids
Article
An Improved Eulerian Approach for the Finite Time Lyapunov Exponent
Article
Article
Modified Virtual Grid Difference For Discretizing the Laplace-beltrami Operatior on Point Clouds
Article
Article
Article
Eulerian methods for visualizing continuous dynamical systems using Lyapunov exponents
Article
A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces
Article
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
Article
Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid
Article
Article
A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography
Article
An improved fast local level set method for three-dimensional inverse gravimetry
Article
Primal-dual method for continuous max-flow approaches
Conference paper
A Cell Based Particle Method for Modeling Dynamic Interfaces
Article
A level-set adjoint-state method for crosswell transmission-reflection traveltime tomography
Article
Article
An Eulerian Method for Computing the Coherent Ergodic Partition of Continuous Dynamical Systems
Article
Fast Huygens Sweeping Methods for Schrödinger Equations in the Semi-Classical Regime
Article
Article
Article
Article
A three-dimensional inverse gravimetry problem for ice with snow caps
Article
The backward phase flow method for the Eulerian finite time Lyapunov exponent computations
Article
A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation
Conference paper
Article
A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation
Conference paper
A Fast Local Level Set Method for Inverse Gravimetry
Article
Article
An adjoint state method for numerical approximation of continuous traffic congestion equilibria
Article
An Eulerian approach for computing the finite time Lyapunov exponent
Article
Article
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
Article
A grid based particle method for evolution of open curves and surfaces
Article
A Grid Based Particle Method for Moving Interface Problems
Article
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime
Article
Expectation-Maximization Algorithm with Local Adaptivity
Article
Eulerian Gaussian Beams for High Frequency Wave Propagation
Article
Transmission Traveltime Tomography Based on Paraxial Liouville Equations and Level Set Formulations
Article
A Local Level Set Method for Paraxial Geometrical Optics
Article
An Adjoint State Method for 3D Transmission Traveltime Tomography Using First Arrival
Article
DASC2010 | Calculus for Data Analytics in Science |
MAED5851 | Scientific Computation |
MATH4992 | Capstone Project in Applied Mathematics |
MATH4999 | Independent Capstone Project |
MATH6912G | Reading Course: Computer Methods for DAEs |
UROP1100N | Undergraduate Research Opportunities Series 1 |
DASC2010 | Calculus for Data Analytics in Science |
MATH4336 | Introduction to Mathematics of Image Processing |
MATH4992 | Capstone Project in Applied Mathematics |
MATH6911H | Reading Course: ENO and Weighted ENO Schemes |
UROP1100K | Undergraduate Research Opportunities Series 1 |
UROP1000 | Undergraduate Research Opportunities |
UROP1100J | Undergraduate Research Opportunities Series 1 |
No Teaching Assignments |
No Teaching Assignments |
No Teaching Assignments |
SHI, Xiao
(co-supervision)
Mathematics
HUNG, Kin Ting Ken
Mathematics
LEE, Young Kyu
Mathematics
LEUNG, Ka Lun
Mathematics
CHAU, Wai Ming
Mathematics
GURUNG, Nishan
Mathematics
HUNG, Chun Kit
Mathematics( Completed in 2024 )
FAN, Ganghua
(co-supervision)
Mathematics( Completed in 2023 )
HO, Ka Ho
Mathematics( Completed in 2024 )
HUNG, Kin Ting Ken
Mathematics( Completed in 2023 )
FONG, Ki Wai
Mathematics( Completed in 2022 )
LEE, Young Kyu
Mathematics( Completed in 2022 )
HUNG, Chun Kit
Mathematics( Completed in 2021 )
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