Shingyu Leung

发表

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

Hao Liu, Shingyu Leung, 2020, ArXiv.

Expectation-Maximization Algorithm with Local Adaptivity

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

Computing the finite time Lyapunov exponent for flows with uncertainties

Shingyu Leung, Guoqiao You, 2021, J. Comput. Phys..

A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces

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

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 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 Generic Convexification and Graph Cut Method for Multiphase Image Segmentation

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

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

Hao Liu, Roland Glowinski, Jianliang Qian, 2019, J. Sci. Comput..

Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means

Jianliang Qian, Shingyu Leung, Jin Cheng, 2020, SIAM 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 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..

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

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

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..

A grid based particle method for moving interface problems

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

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

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

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..

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..

Global Minimization of the Active Contour Model with TV-Inpainting and Two-Phase Denoising

Stanley Osher, Shingyu Leung, 2005, VLSM.

Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents

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

A cell based particle method for modeling dynamic interfaces

Hongkai Zhao, Shingyu Leung, Sean Y. Hon, 2014, 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..

An Eulerian approach for computing the finite time Lyapunov exponent

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

A Simple Explicit Operator-Splitting Method for Effective Hamiltonians

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

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

Hongkai Zhao, Shingyu Leung, Hongkai Zhao, 2009, 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..

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..

Primal-dual method for continuous max-flow approaches

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

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

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

Guarantees of Riemannian Optimization for Low Rank Matrix Recovery

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

An Improved Eulerian Approach for the Finite Time Lyapunov Exponent

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

Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes

Shingyu Leung, Guoqiao You, 2020, J. Sci. Comput..

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

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

A Level Set Method for the Dirichlet k-Partition Problem

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

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

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

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..

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..

Eulerian partial-differential-equation methods for complex-valued eikonals in attenuating media

Jianliang Qian, Shingyu Leung, Junxing Cao, 2021 .

Eulerian algorithms for computing some Lagrangian flow network quantities

Shingyu Leung, Guoqiao You, 2021, J. Comput. Phys..

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

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

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

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2006 .

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

Jianliang Qian, Shingyu Leung, Shingyu Leung, 2014 .

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

Jianliang Qian, Songting Luo, Shingyu Leung, 2011 .