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Author ID: cheng.li-tien Recent zbMATH articles by "Cheng, Li-Tien"
Published as: Cheng, Li-Tien; Cheng, L.-T.

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 759 times in 586 Documents Cited by Year
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. Zbl 0996.65108
Gibou, Frederic; Fedkiw, Ronald P.; Cheng, Li-Tien; Kang, Myungjoo
195
2002
Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055
Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo
135
2001
Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020
Tsai, Yen-Hsi Richard; Cheng, Li-Tien; Osher, Stanley; Zhao, Hong-Kai
126
2003
Geometric optics in a phase-space-based level set and Eulerian framework. Zbl 0999.78002
Osher, Stanley; Cheng, Li-Tien; Kang, Myungjoo; Shim, Hyeseon; Tsai, Yen-Hsi
51
2002
Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations. Zbl 1084.35066
Cheng, Li-Tien; Liu, Hailiang; Osher, Stanley
38
2003
Redistancing by flow of time dependent eikonal equation. Zbl 1317.76060
Cheng, Li-Tien; Tsai, Yen-Hsi
33
2008
Motion of curves in three spatial dimensions using a level set approach. Zbl 0991.65077
Burchard, Paul; Cheng, Li-Tien; Merriman, Barry; Osher, Stanley
33
2001
A level set-based Eulerian approach for anisotropic wave propagation. Zbl 1163.74426
Qian, Jianliang; Cheng, Li-Tien; Osher, Stanley
28
2003
Motion of curves constrained on surfaces using a level-set approach. Zbl 0996.65013
Cheng, Li-Tien; Burchard, Paul; Merriman, Barry; Osher, Stanley
25
2002
Visibility and its dynamics in a PDE based implicit framework. Zbl 1056.65018
Tsai, Y.-H. R.; Cheng, L.-T.; Osher, S.; Burchard, P.; Sapiro, G.
16
2004
A level set method for thin film epitaxial growth. Zbl 0993.74081
Chen, Susan; Merriman, Barry; Kang, Myungjoo; Caflisch, Russel E.; Ratsch, Christian; Cheng, Li-Tien; Gyure, Mark; Fedkiw, Ronald P.; Anderson, Christopher; Osher, Stanley
15
2001
Reflection in a level set framework for geometric optics. Zbl 1069.78002
Cheng, Li-Tien; Kang, Myungjoo; Osher, Stanley; Shim, Hyeseon; Tsai, Yen-Hsi
13
2004
A level set framework for capturing multi-valued solutions of nonlinear first-order equations. Zbl 1109.65080
Liu, Hailiang; Cheng, Li-Tien; Osher, Stanley
7
2006
Motion of a cylindrical dielectric boundary. Zbl 1329.92024
Cheng, Li-Tien; Li, Bo; White, Michael; Zhou, Shenggao
7
2013
Visibility optimization using variational approaches. Zbl 1098.65075
Cheng, Li-Tien; Tsai, Yen-Hsi
6
2005
Level-set minimization of potential controlled Hadwiger valuations for molecular solvation. Zbl 1202.82001
Cheng, Li-Tien; Li, Bo; Wang, Zhongming
6
2010
Yukawa-field approximation of electrostatic free energy and dielectric boundary force. Zbl 1252.82100
Cheng, Hsiao-Bing; Cheng, Li-Tien; Li, Bo
4
2011
Estimation of 3D surface shape and smooth radiance from 2D images: a level set approach. Zbl 1082.68855
Jin, Hailin; Yezzi, Anthony J.; Tsai, Yen-Hsi; Cheng, Li-Tien; Soatto, Stefano
4
2003
Variational implicit-solvent predictions of the dry-wet transition pathways for ligand-receptor binding and unbinding kinetics. Zbl 1431.76162
Zhou, Shenggao; Weiß, R. Gregor; Cheng, Li-Tien; Dzubiella, Joachim; Mccammon, J. Andrew; Li, Bo
4
2019
Construction of shapes arising from the Minkowski problem using a level set approach. Zbl 1035.65093
Cheng, Li-Tien
3
2003
Efficient level set methods for constructing wavefronts in three spatial dimensions. Zbl 1131.78016
Cheng, Li-Tien
2
2007
The heterogeneous multi-scale method for interface dynamics. Zbl 1175.76108
Cheng, Li-Tien; E, Weinan
2
2003
Numerical treatment of Stokes solvent flow and solute-solvent interfacial dynamics for nonpolar molecules. Zbl 1381.76242
Sun, Hui; Zhou, Shenggao; Moore, David K.; Cheng, Li-Tien; Li, Bo
2
2016
Numerical evidence of exponential mixing by alternating shear flows. Zbl 07713257
Cheng, Li-Tien; Rajasekaran, Frederick; Wong, Kin Yau James; Zlatoš, Andrej
2
2023
Binary level-set shape optimization model and algorithm for volumetric modulated arc therapy in radiotherapy treatment. Zbl 1283.92049
Cheng, Li-Tien; Dong, Bin; Men, Chunhua; Jia, Xun; Jiang, Steve
1
2013
Numerical methods for solvent Stokes flow and solute-solvent interfacial dynamics of charged molecules. Zbl 1416.76190
Sun, Hui; Zhou, Shenggao; Cheng, Li-Tien; Li, Bo
1
2018
Numerical evidence of exponential mixing by alternating shear flows. Zbl 07713257
Cheng, Li-Tien; Rajasekaran, Frederick; Wong, Kin Yau James; Zlatoš, Andrej
2
2023
Variational implicit-solvent predictions of the dry-wet transition pathways for ligand-receptor binding and unbinding kinetics. Zbl 1431.76162
Zhou, Shenggao; Weiß, R. Gregor; Cheng, Li-Tien; Dzubiella, Joachim; Mccammon, J. Andrew; Li, Bo
4
2019
Numerical methods for solvent Stokes flow and solute-solvent interfacial dynamics of charged molecules. Zbl 1416.76190
Sun, Hui; Zhou, Shenggao; Cheng, Li-Tien; Li, Bo
1
2018
Numerical treatment of Stokes solvent flow and solute-solvent interfacial dynamics for nonpolar molecules. Zbl 1381.76242
Sun, Hui; Zhou, Shenggao; Moore, David K.; Cheng, Li-Tien; Li, Bo
2
2016
Motion of a cylindrical dielectric boundary. Zbl 1329.92024
Cheng, Li-Tien; Li, Bo; White, Michael; Zhou, Shenggao
7
2013
Binary level-set shape optimization model and algorithm for volumetric modulated arc therapy in radiotherapy treatment. Zbl 1283.92049
Cheng, Li-Tien; Dong, Bin; Men, Chunhua; Jia, Xun; Jiang, Steve
1
2013
Yukawa-field approximation of electrostatic free energy and dielectric boundary force. Zbl 1252.82100
Cheng, Hsiao-Bing; Cheng, Li-Tien; Li, Bo
4
2011
Level-set minimization of potential controlled Hadwiger valuations for molecular solvation. Zbl 1202.82001
Cheng, Li-Tien; Li, Bo; Wang, Zhongming
6
2010
Redistancing by flow of time dependent eikonal equation. Zbl 1317.76060
Cheng, Li-Tien; Tsai, Yen-Hsi
33
2008
Efficient level set methods for constructing wavefronts in three spatial dimensions. Zbl 1131.78016
Cheng, Li-Tien
2
2007
A level set framework for capturing multi-valued solutions of nonlinear first-order equations. Zbl 1109.65080
Liu, Hailiang; Cheng, Li-Tien; Osher, Stanley
7
2006
Visibility optimization using variational approaches. Zbl 1098.65075
Cheng, Li-Tien; Tsai, Yen-Hsi
6
2005
Visibility and its dynamics in a PDE based implicit framework. Zbl 1056.65018
Tsai, Y.-H. R.; Cheng, L.-T.; Osher, S.; Burchard, P.; Sapiro, G.
16
2004
Reflection in a level set framework for geometric optics. Zbl 1069.78002
Cheng, Li-Tien; Kang, Myungjoo; Osher, Stanley; Shim, Hyeseon; Tsai, Yen-Hsi
13
2004
Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020
Tsai, Yen-Hsi Richard; Cheng, Li-Tien; Osher, Stanley; Zhao, Hong-Kai
126
2003
Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations. Zbl 1084.35066
Cheng, Li-Tien; Liu, Hailiang; Osher, Stanley
38
2003
A level set-based Eulerian approach for anisotropic wave propagation. Zbl 1163.74426
Qian, Jianliang; Cheng, Li-Tien; Osher, Stanley
28
2003
Estimation of 3D surface shape and smooth radiance from 2D images: a level set approach. Zbl 1082.68855
Jin, Hailin; Yezzi, Anthony J.; Tsai, Yen-Hsi; Cheng, Li-Tien; Soatto, Stefano
4
2003
Construction of shapes arising from the Minkowski problem using a level set approach. Zbl 1035.65093
Cheng, Li-Tien
3
2003
The heterogeneous multi-scale method for interface dynamics. Zbl 1175.76108
Cheng, Li-Tien; E, Weinan
2
2003
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. Zbl 0996.65108
Gibou, Frederic; Fedkiw, Ronald P.; Cheng, Li-Tien; Kang, Myungjoo
195
2002
Geometric optics in a phase-space-based level set and Eulerian framework. Zbl 0999.78002
Osher, Stanley; Cheng, Li-Tien; Kang, Myungjoo; Shim, Hyeseon; Tsai, Yen-Hsi
51
2002
Motion of curves constrained on surfaces using a level-set approach. Zbl 0996.65013
Cheng, Li-Tien; Burchard, Paul; Merriman, Barry; Osher, Stanley
25
2002
Variational problems and partial differential equations on implicit surfaces. Zbl 0991.65055
Bertalmío, Marcelo; Cheng, Li-Tien; Osher, Stanley; Sapiro, Guillermo
135
2001
Motion of curves in three spatial dimensions using a level set approach. Zbl 0991.65077
Burchard, Paul; Cheng, Li-Tien; Merriman, Barry; Osher, Stanley
33
2001
A level set method for thin film epitaxial growth. Zbl 0993.74081
Chen, Susan; Merriman, Barry; Kang, Myungjoo; Caflisch, Russel E.; Ratsch, Christian; Cheng, Li-Tien; Gyure, Mark; Fedkiw, Ronald P.; Anderson, Christopher; Osher, Stanley
15
2001
all top 5

Cited by 996 Authors

31 Gibou, Frédéric
23 Qian, Jianliang
23 Tsai, Yen-Hsi Richard
21 Osher, Stanley Joel
18 Min, Chohong
15 Leung, Shingyu
13 Cheng, Li-Tien
12 Jin, Shi
12 Liu, Hailiang
11 Li, Bo
11 Ruuth, Steven J.
10 Tanguy, Sébastien
9 Fedkiw, Ronald P.
9 Luo, Songting
9 Zhao, Hongkai
8 Coco, Armando
7 Bochkov, Daniil
7 Dehghan Takht Fooladi, Mehdi
6 Elliott, Charles M.
6 Harlim, John
6 Olshanskii, Maxim A.
6 Voigt, Axel
6 Wang, Zhongming
5 Burridge, Robert
5 Egan, Raphael
5 Engquist, Bjorn E.
5 Falcone, Maurizio
5 Kang, Myungjoo
5 Kao, Chiu-Yen
5 Kim, Junseok
5 Lu, Wangtao
5 Merriman, Barry
5 Russo, Giovanni
5 Sapiro, Guillermo
5 Sussman, Mark
5 Wen, Xin
5 Zhou, Shenggao
4 Bertozzi, Andrea Louise
4 Colella, Phillip
4 Darbon, Jerome
4 Glowinski, Roland
4 Gosse, Laurent
4 Hussaini, M. Yousuff
4 Iollo, Angelo
4 Jiang, Shixiao Willing
4 Lepilliez, Mathieu
4 Lowengrub, John Samuel
4 Nave, Jean-Christophe
4 Oberman, Adam M.
4 Salehi, Rezvan
4 Shi, Zuoqiang
4 Shu, Chi-Wang
4 Vladimirsky, Alexander
4 Zhang, Yongtao
3 Belytschko, Ted Bohdan
3 Caflisch, Russel E.
3 Cecil, Thomas C.
3 Chai, Min
3 Chen, Han
3 Chen, Sheng-Gwo
3 Chen, Shikui
3 Chun, Sehun
3 Cockburn, Bernardo
3 Deckelnick, Klaus
3 Dziuk, Gerhard
3 Fan, Jianren
3 Frolkovič, Peter
3 Gottlieb, Sigal
3 Guittet, Arthur
3 Jiang, Yanqun
3 Koumoutsakos, Petros D.
3 Kublik, Catherine M.
3 Lai, Mingchih
3 Lalanne, Benjamin
3 Lee, Byungjoon
3 Li, Yibao
3 Li, Zhen
3 Liu, Shuang
3 Luo, Kun
3 Macdonald, Colin B.
3 Mirebeau, Jean-Marie
3 Ng, Yen Ting
3 Nitschke, Ingo
3 Parkinson, Christian
3 Poignard, Clair
3 Qiu, Jianxian
3 Reitich, Fernando
3 Ren, Yupeng
3 Salac, David
3 Sheu, Tony Wen-Hann
3 Soatto, Stefano
3 Styles, Vanessa
3 Sun, Hui
3 Vikhansky, Alexander
3 Wang, Haiou
3 Wright, Grady B.
3 Wu, Jyh-Yang
3 Xie, Yaning
3 Xu, Xianmin
3 Yang, Xu
...and 896 more Authors
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Cited in 100 Serials

235 Journal of Computational Physics
68 Journal of Scientific Computing
18 SIAM Journal on Scientific Computing
17 Computer Methods in Applied Mechanics and Engineering
13 Computers and Fluids
11 Computers & Mathematics with Applications
9 Journal of Computational and Applied Mathematics
9 Applied Numerical Mathematics
8 Mathematics of Computation
8 SIAM Journal on Applied Mathematics
8 Communications in Computational Physics
7 Applied Mathematics and Computation
7 Research in the Mathematical Sciences
6 Computing and Visualization in Science
5 Journal of Fluid Mechanics
5 Wave Motion
5 International Journal for Numerical Methods in Engineering
5 SIAM Journal on Numerical Analysis
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Journal of Mathematical Imaging and Vision
5 International Journal of Computer Vision
5 Advances in Computational Mathematics
5 Multiscale Modeling & Simulation
4 International Journal for Numerical Methods in Fluids
3 Journal of Mathematical Biology
3 Numerische Mathematik
3 Computational Mechanics
3 Applied Mathematical Modelling
3 SIAM Journal on Imaging Sciences
2 Archive for Rational Mechanics and Analysis
2 Computer Physics Communications
2 Communications on Pure and Applied Mathematics
2 International Journal of Heat and Mass Transfer
2 Inverse Problems
2 SIAM Journal on Control and Optimization
2 Computer Aided Geometric Design
2 Discrete & Computational Geometry
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 Numerical Algorithms
2 SIAM Journal on Mathematical Analysis
2 Journal of Nonlinear Science
2 Mathematical Problems in Engineering
2 Combustion Theory and Modelling
2 Archives of Computational Methods in Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Acta Mechanica Sinica
2 SIAM/ASA Journal on Uncertainty Quantification
2 Communications on Applied Mathematics and Computation
1 Acta Mechanica
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Bulletin of Mathematical Biology
1 The Annals of Probability
1 Calcolo
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 ACM Transactions on Graphics
1 Journal of Computer Science and Technology
1 Mathematical and Computer Modelling
1 Computational Mathematics and Mathematical Physics
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Pattern Recognition
1 Proceedings of the National Academy of Sciences of the United States of America
1 Applied Mathematics. Series B (English Edition)
1 Physics of Fluids
1 Applied and Computational Harmonic Analysis
1 Computational and Applied Mathematics
1 The Journal of Artificial Intelligence Research (JAIR)
1 Engineering Analysis with Boundary Elements
1 Chaos
1 Interfaces and Free Boundaries
1 Far East Journal of Mathematical Sciences
1 The ANZIAM Journal
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Systems Science and Complexity
1 Computational Methods in Applied Mathematics
1 Sādhanā
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Structural and Multidisciplinary Optimization
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Acta Numerica
1 Communications in Applied Mathematics and Computational Science
1 Inverse Problems and Imaging
1 Discrete and Continuous Dynamical Systems. Series S
1 Algorithms
1 Advances in Mathematical Physics
1 Advances in Applied Mathematics and Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 Dynamic Games and Applications
1 Applied Mathematics and Nonlinear Sciences
1 Mathematics in Applied Sciences and Engineering
1 Journal of Computational Physics: X
all top 5

Cited in 35 Fields

418 Numerical analysis (65-XX)
243 Partial differential equations (35-XX)
177 Fluid mechanics (76-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
37 Mechanics of deformable solids (74-XX)
33 Optics, electromagnetic theory (78-XX)
31 Global analysis, analysis on manifolds (58-XX)
30 Computer science (68-XX)
30 Biology and other natural sciences (92-XX)
29 Classical thermodynamics, heat transfer (80-XX)
26 Statistical mechanics, structure of matter (82-XX)
17 Quantum theory (81-XX)
12 Information and communication theory, circuits (94-XX)
11 Operations research, mathematical programming (90-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Differential geometry (53-XX)
8 Ordinary differential equations (34-XX)
7 Geophysics (86-XX)
6 Approximations and expansions (41-XX)
6 Probability theory and stochastic processes (60-XX)
6 Mechanics of particles and systems (70-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functional analysis (46-XX)
3 Systems theory; control (93-XX)
2 Potential theory (31-XX)
2 Integral equations (45-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)

Citations by Year