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Journal Articles
- 2024
[j16]Ray Zirui Zhang
, Li-Tien Cheng:
A Compact Coupling Interface Method with Second-Order Gradient Approximation for Elliptic Interface Problems. J. Sci. Comput. 100(2): 32 (2024)- [j15]Shuang Liu, Li-Tien Cheng, Bo Li:
Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Model Analysis and Robust Simulations. SIAM J. Appl. Math. 84(3): S515-S537 (2024) - 2023
- [j14]Shuang Liu, Zirui Zhang, Hsiao-Bing Cheng, Li-Tien Cheng, Bo Li:
Explicit-solute implicit-solvent molecular simulation with binary level-set, adaptive-mobility, and GPU. J. Comput. Phys. 472: 111673 (2023) - [j13]Ray Zirui Zhang, Li-Tien Cheng:
Binary Level Set Method for Variational Implicit Solvation Model. SIAM J. Sci. Comput. 45(5): 618- (2023) - 2018
- [j12]Hui Sun, Shenggao Zhou, Li-Tien Cheng, Bo Li:
Numerical methods for solvent Stokes flow and solute-solvent interfacial dynamics of charged molecules. J. Comput. Phys. 374: 533-549 (2018) - 2016
- [j11]Hui Sun, Shenggao Zhou, David K. Moore, Li-Tien Cheng, Bo Li:
Numerical Treatment of Stokes Solvent Flow and Solute-Solvent Interfacial Dynamics for Nonpolar Molecules. J. Sci. Comput. 67(2): 705-723 (2016) - 2015
- [j10]Shenggao Zhou, Li-Tien Cheng, Hui Sun, Jianwei Che, Joachim Dzubiella, Bo Li, James Andrew McCammon:
LS-VISM: A software package for analysis of biomolecular solvation. J. Comput. Chem. 36(14): 1047-1059 (2015) - 2013
- [j9]Li-Tien Cheng, Bo Li, Michael White, Shenggao Zhou:
Motion of a Cylindrical Dielectric Boundary. SIAM J. Appl. Math. 73(1): 594-616 (2013) - [j8]Li-Tien Cheng, Bin Dong, Chunhua Men, Xun Jia, Steve B. Jiang:
Binary Level-Set Shape Optimization Model and Algorithm for Volumetric Modulated Arc Therapy in Radiotherapy Treatment. SIAM J. Sci. Comput. 35(6) (2013) - 2010
- [j7]Li-Tien Cheng, Bo Li, Zhongming Wang:
Level-set minimization of potential controlled Hadwiger valuations for molecular solvation. J. Comput. Phys. 229(22): 8497-8510 (2010) - 2008
- [j6]Li-Tien Cheng, Yen-Hsi Tsai:
Redistancing by flow of time dependent eikonal equation. J. Comput. Phys. 227(8): 4002-4017 (2008) - 2007
- [j5]Li-Tien Cheng:
Efficient level set methods for constructing wavefronts in three spatial dimensions. J. Comput. Phys. 226(2): 2250-2270 (2007) - 2006
- [j4]Hailiang Liu, Li-Tien Cheng, Stanley J. Osher:
A Level Set Framework for Capturing Multi-Valued Solutions of Nonlinear First-Order Equations. J. Sci. Comput. 29(3): 353-373 (2006) - 2003
- [j3]Li-Tien Cheng:
Construction of Shapes Arising from the Minkowski Problem Using a Level Set Approach. J. Sci. Comput. 19(1-3): 123-138 (2003) - [j2]Hailin Jin, Anthony J. Yezzi, Yen-Hsi Tsai, Li-Tien Cheng, Stefano Soatto:
Estimation of 3D Surface Shape and Smooth Radiance from 2D Images: A Level Set Approach. J. Sci. Comput. 19(1-3): 267-292 (2003) - [j1]Yen-Hsi Richard Tsai, Li-Tien Cheng, Stanley J. Osher, Hong-Kai Zhao:
Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations. SIAM J. Numer. Anal. 41(2): 673-694 (2003)
Conference and Workshop Papers
- 2006
- [c1]Yanina Landa, Richard Tsai, Li-Tien Cheng:
Visibility of Point Clouds and Mapping of Unknown Environments. ACIVS 2006: 1014-1025
Informal and Other Publications
- 2022
- [i3]Shuang Liu, Li-Tien Cheng, Bo Li:
Cell Polarity and Movement with Reaction-Diffusion and Moving Boundary: Rigorous Modeling and Robust Simulations. CoRR abs/2208.05536 (2022) - 2021
- [i2]Zirui Zhang, Li-Tien Cheng:
A Compact Coupling Interface Method with Accurate Gradient Approximation for Elliptic Interface Problems. CoRR abs/2110.12414 (2021) - [i1]Zirui Zhang, Li-Tien Cheng:
Binary Level Set Method for Variational Implicit Solvation Model. CoRR abs/2110.12815 (2021)
Coauthor Index
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