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Author ID: leung.shingyu Recent zbMATH articles by "Leung, Shingyu"
Published as: Leung, Shingyu; Leung
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 495 times in 260 Documents Cited by Year
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
41
2016
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
39
2011
A grid based particle method for moving interface problems. Zbl 1161.65013
Leung, Shingyu; Zhao, Hongkai
38
2009
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. Zbl 1161.81370
Leung, Shingyu; Qian, Jianliang
33
2009
An Eulerian approach for computing the finite time Lyapunov exponent. Zbl 1316.65113
Leung, Shingyu
23
2011
An adjoint state method for three-dimensional transmission traveltime tomography using first-arrivals. Zbl 1096.65062
Leung, Shingyu; Qian, Jianliang
22
2006
A fast local level set method for inverse gravimetry. Zbl 1373.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
19
2011
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. Zbl 1282.81090
Leung, Shingyu; Qian, Jianliang
18
2010
A level set based Eulerian method for paraxial multivalued traveltimes. Zbl 1052.65087
Qian, Jianliang; Leung, Shingyu
17
2004
The backward phase flow method for the Eulerian finite time Lyapunov exponent computations. Zbl 1331.37124
Leung, Shingyu
17
2013
An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems. Zbl 1349.65354
You, Guoqiao; Leung, Shingyu
13
2014
Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
12
2016
Eulerian methods for visualizing continuous dynamical systems using Lyapunov exponents. Zbl 1373.37180
You, Guoqiao; Wong, Tony; Leung, Shingyu
12
2017
A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307
Leung, Shingyu; Zhao, Hongkai
11
2009
Gaussian beam summation for diffraction in inhomogeneous media based on the grid based particle method. Zbl 1364.78016
Leung, Shingyu; Zhao, Hongkai
11
2010
Transmission traveltime tomography based on paraxial Liouville equations and level set formulations. Zbl 1115.35151
Leung, Shingyu; Qian, Jianliang
10
2007
A local level set method for paraxial geometrical optics. Zbl 1106.78001
Qian, Jianliang; Leung, Shingyu
10
2006
Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime. Zbl 1426.65151
Leung, Shingyu; Qian, Jianliang; Serna, Susana
10
2014
A three-dimensional inverse gravimetry problem for ice with snow caps. Zbl 1264.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
10
2013
A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141
Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang
10
2019
A level set method for three-dimensional paraxial geometrical optics with multiple point sources. Zbl 1116.76074
Leung, Shingyu; Qian, Jianliang; Osher, Stanley
9
2004
Eulerian based interpolation schemes for flow map construction and line integral computation with applications to Lagrangian coherent structures extraction. Zbl 1398.65339
You, Guoqiao; Leung, Shingyu
9
2018
A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
8
2015
A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038
Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai
7
2014
An improved Eulerian approach for the finite time Lyapunov exponent. Zbl 1417.65156
You, Guoqiao; Leung, Shingyu
7
2018
An improved fast local level set method for three-dimensional inverse gravimetry. Zbl 1369.65134
Lu, Wangtao; Leung, Shingyu; Qian, Jianliang
6
2015
A finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation. Zbl 1433.35157
Liu, Hao; Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
6
2019
A simple explicit operator-splitting method for effective Hamiltonians. Zbl 1383.65089
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
6
2018
Global minimization of the active contour model with tV-inpainting and two-phase denoising. Zbl 1159.68595
Leung, Shingyu; Osher, Stanley
5
2005
VIALS: an Eulerian tool based on total variation and the level set method for studying dynamical systems. Zbl 1296.65183
You, Guoqiao; Leung, Shingyu
5
2014
On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator. Zbl 1460.35183
Glowinski, Roland; Leung, Shingyu; Liu, Hao; Qian, Jianliang
5
2020
Estimating the finite time Lyapunov exponent from sparse Lagrangian trajectories. Zbl 1482.37088
Ng, Yu-Keung; Leung, Shingyu
4
2019
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
4
2020
An adjoint state method for numerical approximation of continuous traffic congestion equilibria. Zbl 1388.65042
Luo, Songting; Leung, Shingyu; Qian, Jianliang
4
2011
Modified virtual grid difference for discretizing the Laplace-Beltrami operator on point clouds. Zbl 1379.65083
Wang, Meng; Leung, Shingyu; Zhao, Hongkai
4
2018
A fast sweeping method for eikonal equations on implicit surfaces. Zbl 1343.65129
Wong, Tony; Leung, Shingyu
3
2016
A level set based variational principal flow method for nonparametric dimension reduction on Riemannian manifolds. Zbl 1379.65041
Liu, Hao; Yao, Zhigang; Leung, Shingyu; Chan, Tony F.
3
2017
Fast construction of forward flow maps using Eulerian based interpolation schemes. Zbl 1472.65161
You, Guoqiao; Leung, Shingyu
3
2020
A splitting algorithm for image segmentation on manifolds represented by the grid based particle method. Zbl 1275.65033
Liu, Jun; Leung, Shingyu
3
2013
Recent developments in Eulerian approaches for visualizing continuous dynamical systems. Zbl 1436.37096
Leung; Shingyu; You, Guoqiao; Wong, Tony; Ng, Yu-Keung
3
2019
Efficient algorithms for computing multidimensional integral fractional Laplacians via spherical means. Zbl 1458.78024
Xu, Boxi; Cheng, Jin; Leung, Shingyu; Qian, Jianliang
2
2020
A simple semi-implicit scheme for partial differential equations with obstacle constraints. Zbl 1463.65344
Liu, Hao; Leung, Shingyu
2
2020
Computing the finite time Lyapunov exponent for flows with uncertainties. Zbl 07508501
You, Guoqiao; Leung, Shingyu
2
2021
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. Zbl 1380.78001
Kwan, Wingfai; Leung, Shingyu; Wang, Xiao-Ping; Qian, Jianliang
2
2017
An alternating direction explicit method for time evolution equations with applications to fractional differential equations. Zbl 07187706
Liu, Hao; Leung, Shingyu
2
2019
A level set method for the Dirichlet \(k\)-partition problem. Zbl 1457.65044
Chu, Kwunlun; Leung, Shingyu
1
2021
Expectation-maximization algorithm with local adaptivity. Zbl 1175.62068
Leung, Shingyu; Liang, Gang; Solna, Knut; Zhao, Hongkai
1
2009
Eulerian algorithms for computing some Lagrangian flow network quantities. Zbl 07515865
You, Guoqiao; Leung, Shingyu
1
2021
A fast semi-implicit level set method for curvature dependent flows with an application to limit cycles extraction in dynamical systems. Zbl 1388.65184
You, Guoqiao; Leung, Shingyu
1
2015
A level-set adjoint-state method for transmission traveltime tomography in irregular domains. Zbl 1469.78015
Leung, Shingyu; Qian, Jianliang; Hu, Jiangtao
1
2021
Computing the finite time Lyapunov exponent for flows with uncertainties. Zbl 07508501
You, Guoqiao; Leung, Shingyu
2
2021
A level set method for the Dirichlet \(k\)-partition problem. Zbl 1457.65044
Chu, Kwunlun; Leung, Shingyu
1
2021
Eulerian algorithms for computing some Lagrangian flow network quantities. Zbl 07515865
You, Guoqiao; Leung, Shingyu
1
2021
A level-set adjoint-state method for transmission traveltime tomography in irregular domains. Zbl 1469.78015
Leung, Shingyu; Qian, Jianliang; Hu, Jiangtao
1
2021
On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator. Zbl 1460.35183
Glowinski, Roland; Leung, Shingyu; Liu, Hao; Qian, Jianliang
5
2020
Guarantees of Riemannian optimization for low rank matrix completion. Zbl 1439.65059
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
4
2020
Fast construction of forward flow maps using Eulerian based interpolation schemes. Zbl 1472.65161
You, Guoqiao; Leung, Shingyu
3
2020
Efficient algorithms for computing multidimensional integral fractional Laplacians via spherical means. Zbl 1458.78024
Xu, Boxi; Cheng, Jin; Leung, Shingyu; Qian, Jianliang
2
2020
A simple semi-implicit scheme for partial differential equations with obstacle constraints. Zbl 1463.65344
Liu, Hao; Leung, Shingyu
2
2020
A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141
Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang
10
2019
A finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation. Zbl 1433.35157
Liu, Hao; Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
6
2019
Estimating the finite time Lyapunov exponent from sparse Lagrangian trajectories. Zbl 1482.37088
Ng, Yu-Keung; Leung, Shingyu
4
2019
Recent developments in Eulerian approaches for visualizing continuous dynamical systems. Zbl 1436.37096
Leung; Shingyu; You, Guoqiao; Wong, Tony; Ng, Yu-Keung
3
2019
An alternating direction explicit method for time evolution equations with applications to fractional differential equations. Zbl 07187706
Liu, Hao; Leung, Shingyu
2
2019
Eulerian based interpolation schemes for flow map construction and line integral computation with applications to Lagrangian coherent structures extraction. Zbl 1398.65339
You, Guoqiao; Leung, Shingyu
9
2018
An improved Eulerian approach for the finite time Lyapunov exponent. Zbl 1417.65156
You, Guoqiao; Leung, Shingyu
7
2018
A simple explicit operator-splitting method for effective Hamiltonians. Zbl 1383.65089
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
6
2018
Modified virtual grid difference for discretizing the Laplace-Beltrami operator on point clouds. Zbl 1379.65083
Wang, Meng; Leung, Shingyu; Zhao, Hongkai
4
2018
Eulerian methods for visualizing continuous dynamical systems using Lyapunov exponents. Zbl 1373.37180
You, Guoqiao; Wong, Tony; Leung, Shingyu
12
2017
A level set based variational principal flow method for nonparametric dimension reduction on Riemannian manifolds. Zbl 1379.65041
Liu, Hao; Yao, Zhigang; Leung, Shingyu; Chan, Tony F.
3
2017
A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals. Zbl 1380.78001
Kwan, Wingfai; Leung, Shingyu; Wang, Xiao-Ping; Qian, Jianliang
2
2017
Guarantees of Riemannian optimization for low rank matrix recovery. Zbl 1347.65109
Wei, Ke; Cai, Jian-Feng; Chan, Tony F.; Leung, Shingyu
41
2016
Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
12
2016
A fast sweeping method for eikonal equations on implicit surfaces. Zbl 1343.65129
Wong, Tony; Leung, Shingyu
3
2016
A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
8
2015
An improved fast local level set method for three-dimensional inverse gravimetry. Zbl 1369.65134
Lu, Wangtao; Leung, Shingyu; Qian, Jianliang
6
2015
A fast semi-implicit level set method for curvature dependent flows with an application to limit cycles extraction in dynamical systems. Zbl 1388.65184
You, Guoqiao; Leung, Shingyu
1
2015
An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems. Zbl 1349.65354
You, Guoqiao; Leung, Shingyu
13
2014
Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime. Zbl 1426.65151
Leung, Shingyu; Qian, Jianliang; Serna, Susana
10
2014
A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038
Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai
7
2014
VIALS: an Eulerian tool based on total variation and the level set method for studying dynamical systems. Zbl 1296.65183
You, Guoqiao; Leung, Shingyu
5
2014
The backward phase flow method for the Eulerian finite time Lyapunov exponent computations. Zbl 1331.37124
Leung, Shingyu
17
2013
A three-dimensional inverse gravimetry problem for ice with snow caps. Zbl 1264.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
10
2013
A splitting algorithm for image segmentation on manifolds represented by the grid based particle method. Zbl 1275.65033
Liu, Jun; Leung, Shingyu
3
2013
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
39
2011
An Eulerian approach for computing the finite time Lyapunov exponent. Zbl 1316.65113
Leung, Shingyu
23
2011
A fast local level set method for inverse gravimetry. Zbl 1373.86012
Isakov, Victor; Leung, Shingyu; Qian, Jianliang
19
2011
An adjoint state method for numerical approximation of continuous traffic congestion equilibria. Zbl 1388.65042
Luo, Songting; Leung, Shingyu; Qian, Jianliang
4
2011
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation. Zbl 1282.81090
Leung, Shingyu; Qian, Jianliang
18
2010
Gaussian beam summation for diffraction in inhomogeneous media based on the grid based particle method. Zbl 1364.78016
Leung, Shingyu; Zhao, Hongkai
11
2010
A grid based particle method for moving interface problems. Zbl 1161.65013
Leung, Shingyu; Zhao, Hongkai
38
2009
Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime. Zbl 1161.81370
Leung, Shingyu; Qian, Jianliang
33
2009
A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307
Leung, Shingyu; Zhao, Hongkai
11
2009
Expectation-maximization algorithm with local adaptivity. Zbl 1175.62068
Leung, Shingyu; Liang, Gang; Solna, Knut; Zhao, Hongkai
1
2009
Transmission traveltime tomography based on paraxial Liouville equations and level set formulations. Zbl 1115.35151
Leung, Shingyu; Qian, Jianliang
10
2007
An adjoint state method for three-dimensional transmission traveltime tomography using first-arrivals. Zbl 1096.65062
Leung, Shingyu; Qian, Jianliang
22
2006
A local level set method for paraxial geometrical optics. Zbl 1106.78001
Qian, Jianliang; Leung, Shingyu
10
2006
Global minimization of the active contour model with tV-inpainting and two-phase denoising. Zbl 1159.68595
Leung, Shingyu; Osher, Stanley
5
2005
A level set based Eulerian method for paraxial multivalued traveltimes. Zbl 1052.65087
Qian, Jianliang; Leung, Shingyu
17
2004
A level set method for three-dimensional paraxial geometrical optics with multiple point sources. Zbl 1116.76074
Leung, Shingyu; Qian, Jianliang; Osher, Stanley
9
2004
all top 5

Cited by 408 Authors

35 Leung, Shingyu
28 Qian, Jianliang
13 You, Guoqiao
12 Luo, Songting
10 Glowinski, Roland
9 Cai, Jian-Feng
9 Liu, Hao
9 Novotny, Antonio André
8 Zhao, Hongkai
7 Wei, Ke
6 Ruuth, Steven J.
6 Wang, Dong
5 Hrizi, Mourad
5 Liu, Hailiang
5 Tai, Xuecheng
5 Wang, Xiaoping
4 Burridge, Robert
4 Caboussat, Alexandre
4 Chi, Yuejie
4 Gao, Yijin
4 Gourzoulidis, Dimitrios
4 Jin, Shi
4 Li, Wenbin
4 Lu, Wangtao
4 Ma, Cong
4 Mayfield, Jay P.
4 Petras, Argyrios
4 Vernerey, Franck J.
3 Bao, Gang
3 Chan, Tony Fan-Cheong
3 Chen, Yuxin
3 He, Yuchen
3 Ho, Myong-Song
3 Kang, Sung Ha
3 Lai, Mingchih
3 Lermusiaux, Pierre F. J.
3 Ling, Leevan
3 Picasso, Marco
3 Prakash, Ravi
3 Runborg, Olof
3 Shi, Zuoqiang
3 Wang, Tianming
3 Wang, Zhongming
3 Yang, Xu
2 Artana, Guillermo
2 Atzberger, Paul J.
2 Azencott, Robert
2 Bao, Weizhu
2 Charó, Gisela D.
2 Elliott, Charles M.
2 Fan, Jianqing
2 Feppon, Florian
2 Fernandez, Lucas dos Santos
2 Foucard, Louis C.
2 Gao, Yuan
2 Gross, B. J.
2 Haber, Eldad
2 Hassine, Maatoug
2 He, Jiwen
2 Hsu, Shih-Hsuan
2 Isakov, Victor M.
2 Jacobs, Matthew
2 Jiang, Shidong
2 Jiang, Wei
2 Kim, Junseok
2 Kimmel, Ron
2 Kuberry, Paul Allen
2 Li, Song
2 Li, Yibao
2 Li, Zhen
2 Liu, Jianguo
2 Lowengrub, John Samuel
2 Macdonald, Colin B.
2 Mang, Andreas
2 Motamed, Mohammad
2 Nadler, Boaz
2 Ng, Michael Kwok-Po
2 Ng, Yu-Keung
2 O’Neil, Michael
2 Osher, Stanley Joel
2 Pak, Jisong
2 Russo, Giovanni
2 Sbalzarini, Ivo F.
2 Sciamarella, Denisse
2 Shen, Tong
2 Sokołowski, Jan
2 Song, Guangjing
2 Sprekeler, Timo
2 Styles, Vanessa
2 Titi, Aseel
2 Treister, Eran
2 Tsai, Yen-Hsi Richard
2 Uschmajew, André
2 Wen, Xin
2 Xu, Xianmin
2 Yan, Yuling
2 Yin, Dongsheng
2 Ying, Lexing
2 Ying, Wenjun
2 Yuan, Daming
...and 308 more Authors
all top 5

Cited in 76 Serials

60 Journal of Computational Physics
31 Journal of Scientific Computing
18 SIAM Journal on Scientific Computing
9 SIAM Journal on Imaging Sciences
7 Inverse Problems and Imaging
6 Inverse Problems
6 Journal of Computational and Applied Mathematics
6 Communications in Computational Physics
5 Wave Motion
4 Numerische Mathematik
4 Journal of Machine Learning Research (JMLR)
3 Computers & Mathematics with Applications
3 Journal of Fluid Mechanics
3 Mathematics of Computation
3 Journal of Optimization Theory and Applications
3 Computational Mathematics and Mathematical Physics
3 Journal of Inverse and Ill-Posed Problems
3 Multiscale Modeling & Simulation
3 SIAM Journal on Mathematics of Data Science
2 Computers and Fluids
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Methods in the Applied Sciences
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics and Mechanics. (English Edition)
2 Physica D
2 Computational Mechanics
2 Numerical Methods for Partial Differential Equations
2 SIAM Journal on Matrix Analysis and Applications
2 Applied Mathematical Modelling
2 SIAM Journal on Optimization
2 Journal of Mathematical Imaging and Vision
2 Advances in Computational Mathematics
2 Foundations of Computational Mathematics
2 Acta Numerica
2 Research in the Mathematical Sciences
1 Journal of Mathematical Analysis and Applications
1 Physics Reports
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Calcolo
1 International Journal for Numerical Methods in Engineering
1 Journal of the American Statistical Association
1 Numerical Functional Analysis and Optimization
1 Journal of Computational Mathematics
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Numerical Algorithms
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Computational Optimization and Applications
1 Applied and Computational Harmonic Analysis
1 International Journal of Computer Vision
1 Filomat
1 The Journal of Fourier Analysis and Applications
1 Chaos
1 Interfaces and Free Boundaries
1 Archives of Computational Methods in Engineering
1 Analysis and Applications (Singapore)
1 International Journal of Wavelets, Multiresolution and Information Processing
1 International Journal of Numerical Analysis and Modeling
1 Journal of Computational Acoustics
1 Journal of Industrial and Management Optimization
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Inverse Problems in Science and Engineering
1 Journal of Theoretical Biology
1 Journal of the Operations Research Society of China
1 Journal of Computational Dynamics
1 East Asian Journal on Applied Mathematics
1 Minimax Theory and its Applications
1 Journal of Elliptic and Parabolic Equations
1 AIMS Mathematics
1 SMAI Journal of Computational Mathematics

Citations by Year