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Shingyu Leung
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2020 – today
- 2024
- [j40]Shingyu Leung
, Wai Ming Chau, Young Kyu Lee:
SLERP-TVDRK (STVDRK) Methods for Ordinary Differential Equations on Spheres. J. Sci. Comput. 101(3): 63 (2024) - [j39]Hao Liu
Operator-Splitting/Finite Element Methods for the Minkowski Problem. SIAM J. Sci. Comput. 46(5): 3230- (2024) - [i11]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 abs/2401.01423 (2024) - [i10]Ningchen Ying, Kwunlun Chu, Shingyu Leung:
A Constrained Least-Squares Ghost Sample Points (CLS-GSP) Method for Differential Operators on Point Clouds. CoRR abs/2407.06467 (2024) - [i9]Ningchen Ying, Shingyu Leung:
Solving Partial Differential Equations on Evolving Surfaces via the Constrained Least-Squares and Grid-Based Particle Method. CoRR abs/2407.16995 (2024) - [i8]Shingyu Leung, Wai Ming Chau, Young Kyu Lee:
SLERP-TVDRK (STVDRK) Methods for Ordinary Differential Equations on Spheres. CoRR abs/2410.10420 (2024) - 2023
- [j38]Yu-Keung Ng, Guoqiao You
Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles. J. Comput. Appl. Math. 431: 115255 (2023) - [j37]Ki Wai Fong, Shingyu Leung
Spherical Essentially Non-oscillatory (SENO) Interpolation. J. Sci. Comput. 94(1): 28 (2023) - [j36]Chun Kit Hung
A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces. SIAM J. Sci. Comput. 45(6): 2813-2835 (2023) - [i7]Chun Kit Hung, Shingyu Leung:
A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces. CoRR abs/2307.07151 (2023) - [i6]Hao Liu, Shingyu Leung, Jianliang Qian:
Operator Splitting/Finite Element Methods for the Minkowski Problem. CoRR abs/2307.16497 (2023) - 2022
- [i5]Hao Liu, Shingyu Leung, Jianliang Qian:
An Efficient Operator-Splitting Method for the Eigenvalue Problem of the Monge-Ampère Equation. CoRR abs/2205.05828 (2022) - [i4]Ki Wai Fong, Shingyu Leung:
Spherical Essentially Non-Oscillatory (SENO) Interpolation. CoRR abs/2212.01963 (2022) - [i3]Wai Ming Chau, Shingyu Leung:
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems. CoRR abs/2212.12647 (2022) - 2021
- [j35]Guoqiao You
Computing the finite time Lyapunov exponent for flows with uncertainties. J. Comput. Phys. 425: 109905 (2021) - [j34]Guoqiao You
Eulerian algorithms for computing some Lagrangian flow network quantities. J. Comput. Phys. 445: 110620 (2021) - [j33]Kwunlun Chu, Shingyu Leung
A Level Set Method for the Dirichlet k-Partition Problem. J. Sci. Comput. 86(1): 11 (2021) - [j32]Kaho Ho, Shingyu Leung
Fast Huygens Sweeping Methods for a Class of Nonlocal Schrödinger Equations. J. Sci. Comput. 88(3): 54 (2021) - [j31]Shingyu Leung
A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains. SIAM J. Sci. Comput. 43(3): A2352-A2380 (2021) - 2020
- [j30]Guoqiao You
Fast Construction of Forward Flow Maps using Eulerian Based Interpolation Schemes. J. Sci. Comput. 82(2): 32 (2020) - [j29]Boxi Xu
Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means. SIAM J. Sci. Comput. 42(5): A2910-A2942 (2020) - [i2]Hao Liu, Shingyu Leung:
An Alternating Direction Explicit Method for Time Evolution Equations with Applications to Fractional Differential Equations. CoRR abs/2002.08461 (2020) - [i1]Roland Glowinski, Shingyu Leung, Hao Liu, Jianliang Qian:
On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator. CoRR abs/2008.08103 (2020)
2010 – 2019
- 2019
- [j28]Roland Glowinski, Hao Liu
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Two Dimensional Elliptic Monge-Ampère Equation. J. Sci. Comput. 79(1): 1-47 (2019) - [j27]Roland Glowinski, Hao Liu
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): 48 (2019) - [j26]Hao Liu
A Finite Element/Operator-Splitting Method for the Numerical Solution of the Three Dimensional Monge-Ampère Equation. J. Sci. Comput. 81(3): 2271-2302 (2019) - 2018
- [j25]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): 70-96 (2018) - [j24]Guoqiao You
An Improved Eulerian Approach for the Finite Time Lyapunov Exponent. J. Sci. Comput. 76(3): 1407-1435 (2018) - [j23]Roland Glowinski, Shingyu Leung
A Simple Explicit Operator-Splitting Method for Effective Hamiltonians. SIAM J. Sci. Comput. 40(1) (2018) - [j22]Meng Wang, Shingyu Leung
Modified Virtual Grid Difference for Discretizing the Laplace-Beltrami Operator on Point Clouds. SIAM J. Sci. Comput. 40(1) (2018) - 2017
- [j21]Wingfai Kwan, Shingyu Leung
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. J. Comput. Phys. 348: 108-138 (2017) - [j20]Guoqiao You, Tony Wong, Shingyu Leung
Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents. SIAM J. Sci. Comput. 39(2) (2017) - [j19]Hao Liu
A Level Set Based Variational Principal Flow Method for Nonparametric Dimension Reduction on Riemannian Manifolds. SIAM J. Sci. Comput. 39(4) (2017) - 2016
- [j18]Tony Wong, Shingyu Leung
A Fast Sweeping Method for Eikonal Equations on Implicit Surfaces. J. Sci. Comput. 67(3): 837-859 (2016) - [j17]Ke Wei
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery. SIAM J. Matrix Anal. Appl. 37(3): 1198-1222 (2016) - [j16]Roland Glowinski, Shingyu Leung
Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid. SIAM J. Sci. Comput. 38(2) (2016) - 2015
- [j15]Roland Glowinski, Shingyu Leung
A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography. SIAM J. Imaging Sci. 8(2): 1263-1292 (2015) - 2014
- [j14]Guoqiao You, Shingyu Leung
An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems. J. Comput. Phys. 264: 112-132 (2014) - [j13]Guoqiao You
VIALS: An Eulerian tool based on total variation and the level set method for studying dynamical systems. J. Comput. Phys. 266: 139-160 (2014) - [j12]Sean Hon
A cell based particle method for modeling dynamic interfaces. J. Comput. Phys. 272: 279-306 (2014) - [j11]Jun Liu, Xue-Cheng Tai
A new continuous max-flow algorithm for multiphase image segmentation using super-level set functions. J. Vis. Commun. Image Represent. 25(6): 1472-1488 (2014) - 2013
- [j10]Jun Liu, Shingyu Leung
A Splitting Algorithm for Image Segmentation on Manifolds Represented by the Grid Based Particle Method. J. Sci. Comput. 56(2): 243-266 (2013) - [c2]Jun Liu, Xue-Cheng Tai, Shingyu Leung
A Generic Convexification and Graph Cut Method for Multiphase Image Segmentation. EMMCVPR 2013: 251-265 - 2012
- [j9]Jun Liu, Yin-Bon Ku
Expectation-maximization algorithm with total variation regularization for vector-valued image segmentation. J. Vis. Commun. Image Represent. 23(8): 1234-1244 (2012) - 2011
- [j8]Shingyu Leung
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. J. Comput. Phys. 230(7): 2540-2561 (2011) - [j7]Shingyu Leung
An Eulerian approach for computing the finite time Lyapunov exponent. J. Comput. Phys. 230(9): 3500-3524 (2011) - 2010
- [j6]Shingyu Leung
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. J. Comput. Phys. 229(23): 8888-8917 (2010)
2000 – 2009
- 2009
- [j5]Shingyu Leung
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. J. Comput. Phys. 228(8): 2951-2977 (2009) - [j4]Shingyu Leung
A grid based particle method for moving interface problems. J. Comput. Phys. 228(8): 2993-3024 (2009) - [j3]Shingyu Leung
A grid based particle method for evolution of open curves and surfaces. J. Comput. Phys. 228(20): 7706-7728 (2009) - [j2]Shingyu Leung
Expectation-Maximization Algorithm with Local Adaptivity. SIAM J. Imaging Sci. 2(3): 834-857 (2009) - 2006
- [j1]Jianliang Qian, Shingyu Leung
A Local Level Set Method for Paraxial Geometrical Optics. SIAM J. Sci. Comput. 28(1): 206-223 (2006) - 2005
- [c1]Shingyu Leung, Stanley J. Osher:
Global Minimization of the Active Contour Model with TV-Inpainting and Two-Phase Denoising. VLSM 2005: 149-160
Coauthor Index
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