Shingyu Leung

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 34

Top Topics

Finite Element Method

Partial Differential Equations

Lyapunov Exponents

Top Venues

J. Sci. Comput.

SIAM J. Sci. Comput.

J. Comput. Phys.

Publications

Yuxiao Wei, Jin Cheng, Shingyu Leung, Robert Burridge, Jianliang Qian
Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms. CoRR (2024)
Ningchen Ying, Kwunlun Chu, Shingyu Leung
A Constrained Least-Squares Ghost Sample Points (CLS-GSP) Method for Differential Operators on Point Clouds. CoRR (2024)
Ningchen Ying, Shingyu Leung
Solving Partial Differential Equations on Evolving Surfaces via the Constrained Least-Squares and Grid-Based Particle Method. CoRR (2024)
Chun Kit Hung, Shingyu Leung
A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces. SIAM J. Sci. Comput. 45 (6) (2023)
Chun Kit Hung, Shingyu Leung
A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces. CoRR (2023)
Hao Liu, Shingyu Leung, Jianliang Qian
Operator Splitting/Finite Element Methods for the Minkowski Problem. CoRR (2023)
Yu-Keung Ng, Guoqiao You, Shingyu Leung
Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles. J. Comput. Appl. Math. 431 (2023)
Ki Wai Fong, Shingyu Leung
Spherical Essentially Non-oscillatory (SENO) Interpolation. J. Sci. Comput. 94 (1) (2023)
Ki Wai Fong, Shingyu Leung
Spherical Essentially Non-Oscillatory (SENO) Interpolation. CoRR (2022)
Wai Ming Chau, Shingyu Leung
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems. CoRR (2022)
Hao Liu, Shingyu Leung, Jianliang Qian
An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation. CoRR (2022)
Shingyu Leung, Jianliang Qian, Jiangtao Hu
A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains. SIAM J. Sci. Comput. 43 (3) (2021)
Guoqiao You, Shingyu Leung
Computing the finite time Lyapunov exponent for flows with uncertainties. J. Comput. Phys. 425 (2021)
Kaho Ho, Shingyu Leung, Jianliang Qian
Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations. J. Sci. Comput. 88 (3) (2021)
Guoqiao You, Shingyu Leung
Eulerian algorithms for computing some Lagrangian flow network quantities. J. Comput. Phys. 445 (2021)
Kwunlun Chu, Shingyu Leung
A Level Set Method for the Dirichlet k-Partition Problem. J. Sci. Comput. 86 (1) (2021)
Hao Liu, Shingyu Leung
An Alternating Direction Explicit Method for Time Evolution Equations with Applications to Fractional Differential Equations. CoRR (2020)
Guoqiao You, Shingyu Leung
Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes. J. Sci. Comput. 82 (2) (2020)
Boxi Xu, Jin Cheng, Shingyu Leung, Jianliang Qian
Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means. SIAM J. Sci. Comput. 42 (5) (2020)
Roland Glowinski, Shingyu Leung, Hao Liu, Jianliang Qian
On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator. CoRR (2020)
Hao Liu, Roland Glowinski, Shingyu Leung, Jianliang Qian
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation. J. Sci. Comput. 81 (3) (2019)
Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation. J. Sci. Comput. 79 (1) (2019)
Roland Glowinski, Hao Liu, Shingyu Leung, Jianliang Qian
Correction to: A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation. J. Sci. Comput. 79 (1) (2019)
Guoqiao You, Shingyu Leung
Eulerian Based Interpolation Schemes for Flow Map Construction and Line Integral Computation with Applications to Lagrangian Coherent Structures Extraction. J. Sci. Comput. 74 (1) (2018)
Guoqiao You, Shingyu Leung
An Improved Eulerian Approach for the Finite Time Lyapunov Exponent. J. Sci. Comput. 76 (3) (2018)
Meng Wang, Shingyu Leung, Hongkai Zhao
Modified Virtual Grid Difference for Discretizing the Laplace-Beltrami Operator on Point Clouds. SIAM J. Sci. Comput. 40 (1) (2018)
Roland Glowinski, Shingyu Leung, Jianliang Qian
A Simple Explicit Operator-Splitting Method for Effective Hamiltonians. SIAM J. Sci. Comput. 40 (1) (2018)
Hao Liu, Zhigang Yao, Shingyu Leung, Tony F. Chan
A Level Set Based Variational Principal Flow Method for Nonparametric Dimension Reduction on Riemannian Manifolds. SIAM J. Sci. Comput. 39 (4) (2017)
Wingfai Kwan, Shingyu Leung, Xiao-Ping Wang, Jianliang Qian
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. J. Comput. Phys. 348 (2017)
Guoqiao You, Tony Wong, Shingyu Leung
Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents. SIAM J. Sci. Comput. 39 (2) (2017)
Ke Wei, Jian-Feng Cai, Tony F. Chan, Shingyu Leung
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery. SIAM J. Matrix Anal. Appl. 37 (3) (2016)
Roland Glowinski, Shingyu Leung, Jianliang Qian
Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid. SIAM J. Sci. Comput. 38 (2) (2016)
Tony Wong, Shingyu Leung
A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces. J. Sci. Comput. 67 (3) (2016)
Roland Glowinski, Shingyu Leung, Jianliang Qian
A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography. SIAM J. Imaging Sci. 8 (2) (2015)
Jun Liu, Xue-Cheng Tai, Shingyu Leung, Haiyang Huang
A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions. J. Vis. Commun. Image Represent. 25 (6) (2014)
Guoqiao You, Shingyu Leung
VIALS: An Eulerian tool based on total variation and the level set method for studying dynamical systems. J. Comput. Phys. 266 (2014)
Sean Y. Hon, Shingyu Leung, Hongkai Zhao
A cell based particle method for modeling dynamic interfaces. J. Comput. Phys. 272 (2014)
Guoqiao You, Shingyu Leung
An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems. J. Comput. Phys. 264 (2014)
Jun Liu, Shingyu Leung
A Splitting Algorithm for Image Segmentation on Manifolds Represented by the Grid Based Particle Method. J. Sci. Comput. 56 (2) (2013)
Jun Liu, Xue-Cheng Tai, Shingyu Leung
A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation. EMMCVPR (2013)
Jun Liu, Yin-Bon Ku, Shingyu Leung
Expectation-maximization algorithm with total variation regularization for vector-valued image segmentation. J. Vis. Commun. Image Represent. 23 (8) (2012)
Shingyu Leung
An Eulerian approach for computing the finite time Lyapunov exponent. J. Comput. Phys. 230 (9) (2011)
Shingyu Leung, John S. Lowengrub, Hongkai Zhao
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. J. Comput. Phys. 230 (7) (2011)
Shingyu Leung, Jianliang Qian
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. J. Comput. Phys. 229 (23) (2010)
Shingyu Leung, Hongkai Zhao
A grid based particle method for evolution of open curves and surfaces. J. Comput. Phys. 228 (20) (2009)
Shingyu Leung, Gang Liang, Knut Solna, Hongkai Zhao
Expectation-Maximization Algorithm with Local Adaptivity. SIAM J. Imaging Sci. 2 (3) (2009)
Shingyu Leung, Hongkai Zhao
A grid based particle method for moving interface problems. J. Comput. Phys. 228 (8) (2009)
Shingyu Leung, Jianliang Qian
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. J. Comput. Phys. 228 (8) (2009)
Jianliang Qian, Shingyu Leung
A Local Level Set Method for Paraxial Geometrical Optics. SIAM J. Sci. Comput. 28 (1) (2006)
Shingyu Leung, Stanley J. Osher
Global Minimization of the Active Contour Model with TV-Inpainting and Two-Phase Denoising. VLSM (2005)