Edit Profile (opens in new tab) Cheng, Li-Tien Co-Author Distance Author ID: cheng.li-tien Published as: Cheng, Li-Tien; Cheng, L.-T. Documents Indexed: 33 Publications since 2001, including 2 Additional arXiv Preprints Co-Authors: 45 Co-Authors with 31 Joint Publications 2,041 Co-Co-Authors all top 5 Co-Authors 2 single-authored 11 Osher, Stanley Joel 8 Li, Bo 7 Tsai, Yen-Hsi Richard 4 Cheng, Hsiao-Bing 4 Kang, Myungjoo 4 Zhou, Shenggao 3 Burchard, Paul 3 Merriman, Barry 2 Fedkiw, Ronald P. 2 Liu, Hailiang 2 Liu, Shuang 2 Sapiro, Guillermo 2 Shim, Hyeseon 2 Sun, Hui 2 Yau, Shing-Tung 2 Zhang, Zirui 1 Bertalmío, Marcelo 1 Caflisch, Russel E. 1 Chen, Susan 1 Dong, Bin 1 Dzubiella, Joachim 1 E, Weinan 1 Gibou, Frédéric 1 Gu, Xianfeng 1 Gyure, Mark F. 1 Hu, Kai 1 Jia, Xun 1 Jiang, Steve B. 1 Jin, Hailin 1 McCammon, J. Andrew 1 Men, Chunhua 1 Moore, David K. 1 Qian, Jianliang 1 Rajasekaran, Frederick 1 Ratsch, Christian 1 Soatto, Stefano 1 Wang, Yalin 1 Wang, Zhongming 1 Weiß, R. Gregor 1 White, Michael R. H. 1 Wong, Kin Yau James 1 Yezzi, Anthony jun. 1 Zhang, Ray Zirui 1 Zhao, Hongkai 1 Zlatoš, Andrej all top 5 Serials 12 Journal of Computational Physics 4 Journal of Scientific Computing 4 Communications in Mathematical Sciences 2 SIAM Journal on Scientific Computing 1 Nonlinearity 1 Wave Motion 1 SIAM Journal on Numerical Analysis 1 Journal of Elasticity 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 CMES. Computer Modeling in Engineering & Sciences all top 5 Fields 20 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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