Shingyu Leung

According to our database, Shingyu Leung authored at least 49 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

SLERP-TVDRK (STVDRK) Methods for Ordinary Differential Equations on Spheres.

Shingyu Leung, Wai Ming Chau, Young Kyu Lee

J. Sci. Comput., December, 2024

Operator-Splitting/Finite Element Methods for the Minkowski Problem.

Hao Liu, Shingyu Leung, Jianliang Qian

SIAM J. Sci. Comput., 2024

Solving Partial Differential Equations on Evolving Surfaces via the Constrained Least-Squares and Grid-Based Particle Method.

Ningchen Ying, Shingyu Leung

CoRR, 2024

A Constrained Least-Squares Ghost Sample Points (CLS-GSP) Method for Differential Operators on Point Clouds.

Ningchen Ying, Kwunlun Chu, Shingyu Leung

CoRR, 2024

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

Yuxiao Wei, Jin Cheng, Shingyu Leung, Robert Burridge, Jianliang Qian

CoRR, 2024

2023

A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces.

Chun Kit Hung, Shingyu Leung

SIAM J. Sci. Comput., December, 2023

Spherical Essentially Non-oscillatory (SENO) Interpolation.

Ki Wai Fong, Shingyu Leung

J. Sci. Comput., 2023

Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles.

Yu-Keung Ng, Guoqiao You, Shingyu Leung

J. Comput. Appl. Math., 2023

2022

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

Wai Ming Chau, Shingyu Leung

CoRR, 2022

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

Hao Liu, Shingyu Leung, Jianliang Qian

CoRR, 2022

2021

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

Shingyu Leung, Jianliang Qian, Jiangtao Hu

SIAM J. Sci. Comput., 2021

Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations.

Kaho Ho, Shingyu Leung, Jianliang Qian

J. Sci. Comput., 2021

A Level Set Method for the Dirichlet k-Partition Problem.

Kwunlun Chu, Shingyu Leung

J. Sci. Comput., 2021

Eulerian algorithms for computing some Lagrangian flow network quantities.

Guoqiao You, Shingyu Leung

J. Comput. Phys., 2021

Computing the finite time Lyapunov exponent for flows with uncertainties.

Guoqiao You, Shingyu Leung

J. Comput. Phys., 2021

2020

Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means.

Boxi Xu, Jin Cheng, Shingyu Leung, Jianliang Qian

SIAM J. Sci. Comput., 2020

Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes.

Guoqiao You, Shingyu Leung

J. Sci. Comput., 2020

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

Roland Glowinski, Shingyu Leung, Hao Liu, Jianliang Qian

CoRR, 2020

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

Hao Liu, Shingyu Leung

CoRR, 2020

2019

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

Hao Liu, Roland Glowinski, Shingyu Leung, Jianliang Qian

J. Sci. Comput., 2019

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

Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian

J. Sci. Comput., 2019

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

Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian

J. Sci. Comput., 2019

2018

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

Meng Wang, Shingyu Leung, Hongkai Zhao

SIAM J. Sci. Comput., 2018

A Simple Explicit Operator-Splitting Method for Effective Hamiltonians.

Roland Glowinski, Shingyu Leung, Jianliang Qian

SIAM J. Sci. Comput., 2018

An Improved Eulerian Approach for the Finite Time Lyapunov Exponent.

Guoqiao You, Shingyu Leung

J. Sci. Comput., 2018

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

Guoqiao You, Shingyu Leung

J. Sci. Comput., 2018

2017

Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents.

Guoqiao You, Tony Wong, Shingyu Leung

SIAM J. Sci. Comput., 2017

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

Hao Liu, Zhigang Yao, Shingyu Leung, Tony F. Chan

SIAM J. Sci. Comput., 2017

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

Wingfai Kwan, Shingyu Leung, Xiao-Ping Wang, Jianliang Qian

J. Comput. Phys., 2017

2016

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

Roland Glowinski, Shingyu Leung, Jianliang Qian

SIAM J. Sci. Comput., 2016

Guarantees of Riemannian Optimization for Low Rank Matrix Recovery.

Ke Wei, Jian-Feng Cai, Tony F. Chan, Shingyu Leung

SIAM J. Matrix Anal. Appl., 2016

A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces.

Tony Wong, Shingyu Leung

J. Sci. Comput., 2016

2015

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

Roland Glowinski, Shingyu Leung, Jianliang Qian

SIAM J. Imaging Sci., 2015

2014

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

Jun Liu, Xue-Cheng Tai, Shingyu Leung, Haiyang Huang

J. Vis. Commun. Image Represent., 2014

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

Guoqiao You, Shingyu Leung

J. Comput. Phys., 2014

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

Guoqiao You, Shingyu Leung

J. Comput. Phys., 2014

A cell based particle method for modeling dynamic interfaces.

Sean Hon, Shingyu Leung, Hongkai Zhao

J. Comput. Phys., 2014

2013

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

Jun Liu, Shingyu Leung

J. Sci. Comput., 2013

A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation.

Jun Liu, Xue-Cheng Tai, Shingyu Leung

Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2013

2012

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

Jun Liu, Yin-Bon Ku, Shingyu Leung

J. Vis. Commun. Image Represent., 2012

2011

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

Shingyu Leung, John S. Lowengrub, Hongkai Zhao

J. Comput. Phys., 2011

An Eulerian approach for computing the finite time Lyapunov exponent.

Shingyu Leung

J. Comput. Phys., 2011

2010

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

Shingyu Leung, Jianliang Qian

J. Comput. Phys., 2010

2009

Expectation-Maximization Algorithm with Local Adaptivity.

Shingyu Leung, Gang Liang, Knut Solna, Hongkai Zhao

SIAM J. Imaging Sci., 2009

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

Shingyu Leung, Hongkai Zhao

J. Comput. Phys., 2009

A grid based particle method for moving interface problems.

Shingyu Leung, Hongkai Zhao

J. Comput. Phys., 2009

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

Shingyu Leung, Jianliang Qian

J. Comput. Phys., 2009

2006

A Local Level Set Method for Paraxial Geometrical Optics.

Jianliang Qian, Shingyu Leung

SIAM J. Sci. Comput., 2006

2005

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

Shingyu Leung, Stanley J. Osher

Proceedings of the Variational, 2005