Shingyu Leung

发表

Guarantees of riemannian optimization for low rank matrix completion

T. Chan, Jian-Feng Cai, Ke Wei, 2016, Inverse Problems & Imaging.

Eulerian Gaussian Beams for High Frequency Wave Propagation

Shingyu Leung, J. Qian, R. Burridge, 2007 .

A Fast Semi-Implicit Level Set Method for Curvature Dependent Flows with an Application to Limit Cycles Extraction in Dynamical Systems

Shingyu Leung, Guoqiao You, 2015 .

Research Accomplishments

Shingyu Leung, 2013 .

A fast local level set adjoint state method for first arrival transmission traveltime tomography with discontinuous slowness

Shingyu Leung, Wenbin Li, 2013 .

A Fast Local Level Set Method for Inverse Gravimetry

Shingyu Leung, J. Qian, V. Isakov, 2011 .

Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method

Hongkai Zhao, Shingyu Leung, 2010 .

An Alternating Direction Explicit ( ADE ) Scheme for Time-Dependent Evolution Equations

S. Osher, Shingyu Leung, 2005 .

A level set based Eulerian method for paraxial multivalued traveltimes

Shingyu Leung, J. Qian, 2004 .

A Level Set Method for Three-dimensional Paraxial Geometrical Optics with Multiple Sources

S. Osher, Shingyu Leung, J. Qian, 2004 .

A LEVEL SET METHOD FOR THREE-DIMENSIONAL PARAXIAL GEOMETRICAL OPTICS WITH MULTIPLE POINT SOURCES ⁄

S. Osher, Shingyu Leung, J. Qian, 2004 .

An Adjoint State Method for Numerical Approximation

Shingyu Leung, J. Qian, S. Luo, 2011 .

Transmission traveltime tomography based on paraxial Liouville equations and level set formulations

Shingyu Leung, J. Qian, 2007 .

A Transmission Tomography Problem Based On Multiple Arrivals From Paraxial Liouville Equations

Shingyu Leung, J. Qian, 2005 .

The backward phase flow method for the Eulerian finite time Lyapunov exponent computations.

Shingyu Leung, 2013, Chaos.

A weak formulation for the multiphase Stokes flow problem without body fitting grids

Hongkai Zhao, Shingyu Leung, Songming Hou, 2018 .

AN IMPROVED FAST LOCAL LEVEL SET METHOD FOR THREE-DIMENSIONAL INVERSE GRAVIMETRY

Shingyu Leung, J. Qian, Wangtao Lu, 2015 .

A THREE-DIMENSIONAL INVERSE GRAVIMETRY PROBLEM FOR ICE WITH SNOW CAPS

Shingyu Leung, J. Qian, V. Isakov, 2013 .

Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime

Shingyu Leung, J. Qian, S. Serna, 2014 .

Primal-dual method for continuous max-flow approaches

Xue-Cheng Tai, Tony F. Chan, Ke Wei, 2015 .

A Level Set-Adjoint State Method for the Joint Transmission-Re(cid:13)ection First-Arrival Traveltime Tomography with Unknown Re(cid:13)ector Position

Shingyu Leung, J. Qian, Wenbin Li, 2013 .

Spherical Essentially Non-Oscillatory (SENO) Interpolation

Ki Wai Fong, Shingyu Leung, 2022, Journal of Scientific Computing.

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge–Ampère Equation

R. Glowinski, Shingyu Leung, J. Qian, 2018, Journal of Scientific Computing.

Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems

Shingyu Leung, Wai Ming Chau, 2022, ArXiv.

Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes

Shingyu Leung, Guoqiao You, 2020, Journal of Scientific Computing.

An Improved Eulerian Approach for the Finite Time Lyapunov Exponent

Shingyu Leung, Guoqiao You, 2018, Journal of Scientific Computing.

Eulerian Based Interpolation Schemes for Flow Map Construction and Line Integral Computation with Applications to Lagrangian Coherent Structures Extraction

Shingyu Leung, Guoqiao You, 2017, Journal of Scientific Computing.

A Splitting Algorithm for Image Segmentation on Manifolds Represented by the Grid Based Particle Method

Shingyu Leung, Jun Liu, 2012, Journal of Scientific Computing.

A Level Set Method for the Dirichlet k-Partition Problem

Shingyu Leung, Kwunlun Chu, 2021, Journal of Scientific Computing.

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge–Ampère Equation

Hao Liu, Roland Glowinski, Jianliang Qian, 2018, J. Sci. Comput..

A Level Set Method for the Dirichlet k-Partition Problem

Shingyu Leung, Kwunlun Chu, Shingyu Leung, 2021, J. Sci. Comput..

A grid based particle method for moving interface problems

Hongkai Zhao, Shingyu Leung, Hongkai Zhao, 2009, J. Comput. Phys..

Modified Virtual Grid Difference for Discretizing the Laplace-Beltrami Operator on Point Clouds

Meng Wang, Hongkai Zhao, Shingyu Leung, 2016, SIAM J. Sci. Comput..

A Level Set Based Variational Principal Flow Method for Nonparametric Dimension Reduction on Riemannian Manifolds

Hao Liu, Zhigang Yao, Tony F. Chan, 2017, SIAM J. Sci. Comput..

A level-set adjoint-state method for crosswell transmission-reflection traveltime tomography

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2014 .

An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems

Shingyu Leung, Guoqiao You, Shingyu Leung, 2014, J. Comput. Phys..

A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions

Xue-Cheng Tai, Jun Liu, Shingyu Leung, 2014, J. Vis. Commun. Image Represent..

Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2009, J. Comput. Phys..

Expectation-maximization algorithm with total variation regularization for vector-valued image segmentation

Jun Liu, Shingyu Leung, Yin-Bon Ku, 2012, J. Vis. Commun. Image Represent..

Expectation-Maximization Algorithm with Local Adaptivity

Hongkai Zhao, Knut Sølna, Gang Liang, 2009, SIAM J. Imaging Sci..

An adjoint state method for three-dimensional transmission traveltime tomography using first-arrivals

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2006 .

An Eulerian approach for computing the finite time Lyapunov exponent

Shingyu Leung, Shingyu Leung, 2011, J. Comput. Phys..

A Local Level Set Method for Paraxial Geometrical Optics

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2006, SIAM J. Sci. Comput..

A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2015, SIAM J. Imaging Sci..

Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2016, SIAM J. Sci. Comput..

The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2010, J. Comput. Phys..

Guarantees of Riemannian Optimization for Low Rank Matrix Recovery

Tony F. Chan, Jian-Feng Cai, Shingyu Leung, 2015, SIAM J. Matrix Anal. Appl..

Eulerian Based Interpolation Schemes for Flow Map Construction and Line Integral Computation with Applications to Lagrangian Coherent Structures Extraction

Shingyu Leung, Guoqiao You, Shingyu Leung, 2018, J. Sci. Comput..

An Adjoint State Method for Numerical Approximation of Continuous Traffic Congestion Equilibria

Jianliang Qian, Songting Luo, Shingyu Leung, 2011 .

A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains

Jianliang Qian, Shingyu Leung, Jiangtao Hu, 2021, SIAM J. Sci. Comput..

A cell based particle method for modeling dynamic interfaces

Hongkai Zhao, Shingyu Leung, Sean Y. Hon, 2014, J. Comput. Phys..

Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations

Shingyu Leung, J. Qian, K. Ho, 2021, Journal of Scientific Computing.

A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals

Jianliang Qian, Shingyu Leung, Xiao-Ping Wang, 2017, J. Comput. Phys..

A Splitting Algorithm for Image Segmentation on Manifolds Represented by the Grid Based Particle Method

Jun Liu, Shingyu Leung, Shingyu Leung, 2013, J. Sci. Comput..

A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion

Hongkai Zhao, Shingyu Leung, John S. Lowengrub, 2011, J. Comput. Phys..

A grid based particle method for evolution of open curves and surfaces

Hongkai Zhao, Shingyu Leung, Hongkai Zhao, 2009, J. Comput. Phys..

VIALS: An Eulerian tool based on total variation and the level set method for studying dynamical systems

Shingyu Leung, Guoqiao You, Shingyu Leung, 2014, J. Comput. Phys..

A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation

Xue-Cheng Tai, Jun Liu, Shingyu Leung, 2013, EMMCVPR.

Ray-illumination compensation for adjoint-state first-arrival traveltime tomography

Shingyu Leung, Huazhong Wang, J. Qian, 2021, GEOPHYSICS.

A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces

Tony Wong, Shingyu Leung, Shingyu Leung, 2016, J. Sci. Comput..

An Adaptive Level Set Method for Stefan Problems

S. Osher, Shingyu Leung, J. Lowengrub, 2004 .

On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator pdf

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2020, ArXiv.

On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Amp\`{e}re Operator

Roland Glowinski, Jianliang Qian, Hao Liu, 2020, 2008.08103.

Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means

Jianliang Qian, Shingyu Leung, Jin Cheng, 2020, SIAM J. Sci. Comput..

Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms

Shingyu Leung, Yuxiao Wei, Jin Cheng, 2024, 2401.01423.

A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge–Ampère Equation

Roland Glowinski, Jianliang Qian, Hao Liu, 2019, Journal of Scientific Computing.

An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation

Shingyu Leung, J. Qian, Hao Liu, 2022, Communications in Optimization Theory.

Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents

Tony Wong, Shingyu Leung, Guoqiao You, 2016, SIAM J. Sci. Comput..

An Alternating Direction Explicit Method for Time Evolution Equations with Applications to Fractional Differential Equations

Shingyu Leung, Hao Liu, Hao Liu, 2020, Methods and Applications of Analysis.

A Simple Explicit Operator-Splitting Method for Effective Hamiltonians

Roland Glowinski, Jianliang Qian, Shingyu Leung, 2018, SIAM J. Sci. Comput..