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Journal Articles
- 2024
[j44]Cheng Wang, Jilu Wang, Steven M. Wise, Zeyu Xia
, Liwei Xu:
Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations. J. Comput. Appl. Math. 436: 115409 (2024)- 2023
- [j43]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis. J. Sci. Comput. 97(1): 23 (2023) - [j42]Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang:
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. Math. Comput. 93(349): 2185-2214 (2023) - 2022
- [j41]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. J. Comput. Appl. Math. 406: 114017 (2022) - [j40]Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang:
Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. J. Comput. Appl. Math. 415: 114474 (2022) - [j39]Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise:
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance. SIAM J. Numer. Anal. 60(2): 781-803 (2022) - 2021
- [j38]Jing Guo, Cheng Wang, Steven M. Wise, Xingye Yue:
An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. J. Comput. Appl. Math. 388: 113300 (2021) - [j37]Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang:
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. J. Comput. Phys. 442: 110451 (2021) - [j36]Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang:
An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels. J. Sci. Comput. 87(3): 78 (2021) - [j35]Jea-Hyun Park, Abner J. Salgado, Steven M. Wise:
Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs. J. Sci. Comput. 89(1): 17 (2021) - [j34]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. Math. Comput. 90(331): 2071-2106 (2021) - [j33]Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang:
Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model. SIAM J. Sci. Comput. 43(2): A1248-A1272 (2021) - 2020
- [j32]Kelong Cheng, Cheng Wang, Steven M. Wise:
A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis. J. Comput. Phys. 405: 109109 (2020) - [j31]Chenhui Zhang, Jie Ouyang, Cheng Wang, Steven M. Wise:
Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation. J. Comput. Phys. 423: 109772 (2020) - [j30]Wenbin Chen, Cheng Wang, Shufen Wang, Xiaoming Wang, Steven M. Wise:
Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System. J. Sci. Comput. 84(2): 27 (2020) - [j29]Long Chen, Xiaozhe Hu, Steven M. Wise:
Convergence analysis of the Fast Subspace Descent method for convex optimization problems. Math. Comput. 89(325): 2249-2282 (2020) - 2019
- [j28]Kelong Cheng, Wenqiang Feng, Cheng Wang, Steven M. Wise:
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation. J. Comput. Appl. Math. 362: 574-595 (2019) - [j27]Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise:
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. J. Comput. Phys. X 3: 100031 (2019) - 2018
- [j26]Lixiu Dong, Wenqiang Feng, Cheng Wang, Steven M. Wise, Zhengru Zhang:
Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation. Comput. Math. Appl. 75(6): 1912-1928 (2018) - [j25]Wenqiang Feng, Zhenlin Guo, John S. Lowengrub, Steven M. Wise:
A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-cartesian grids. J. Comput. Phys. 352: 463-497 (2018) - [j24]Ying Chen, John S. Lowengrub, Jie Shen, Cheng Wang, Steven M. Wise:
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. J. Comput. Phys. 365: 56-73 (2018) - [j23]Wenqiang Feng, Zhen Guan, John S. Lowengrub, Cheng Wang, Steven M. Wise, Ying Chen:
A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation and Its Convergence Analysis. J. Sci. Comput. 76(3): 1938-1967 (2018) - 2017
- [j22]Wenqiang Feng, Abner J. Salgado, Cheng Wang, Steven M. Wise:
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. J. Comput. Phys. 334: 45-67 (2017) - [j21]Yuan Liu, Wenbin Chen, Cheng Wang, Steven M. Wise:
Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. Numerische Mathematik 135(3): 679-709 (2017) - [j20]Amanda E. Diegel, Cheng Wang, Xiaoming Wang, Steven M. Wise:
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Numerische Mathematik 137(3): 495-534 (2017) - 2016
- [j19]Zhen Guan, Vili Heinonen, John S. Lowengrub, Cheng Wang, Steven M. Wise:
An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. J. Comput. Phys. 321: 1026-1054 (2016) - [j18]Kelong Cheng, Cheng Wang, Steven M. Wise, Xingye Yue:
A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn-Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method. J. Sci. Comput. 69(3): 1083-1114 (2016) - [j17]Wenbin Chen, Yuan Liu, Cheng Wang, Steven M. Wise:
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. Math. Comput. 85(301): 2231-2257 (2016) - 2015
- [j16]Amanda E. Diegel, Xiaobing H. Feng, Steven M. Wise:
Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System. SIAM J. Numer. Anal. 53(1): 127-152 (2015) - 2014
- [j15]Zhen Guan, John S. Lowengrub, Cheng Wang, Steven M. Wise:
Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. J. Comput. Phys. 277: 48-71 (2014) - [j14]Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise:
A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection. J. Sci. Comput. 59(3): 574-601 (2014) - [j13]Zhen Guan, Cheng Wang, Steven M. Wise:
A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation. Numerische Mathematik 128(2): 377-406 (2014) - 2013
- [j12]Arvind Baskaran, Zhengzheng Hu, John S. Lowengrub, Cheng Wang, Steven M. Wise, Peng Zhou:
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. J. Comput. Phys. 250: 270-292 (2013) - [j11]Arvind Baskaran, John S. Lowengrub, Cheng Wang, Steven M. Wise:
Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation. SIAM J. Numer. Anal. 51(5): 2851-2873 (2013) - 2012
- [j10]Wenbin Chen, Sidafa Conde, Cheng Wang, Xiaoming Wang, Steven M. Wise:
A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection. J. Sci. Comput. 52(3): 546-562 (2012) - [j9]Jie Shen, Cheng Wang, Xiaoming Wang, Steven M. Wise:
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. SIAM J. Numer. Anal. 50(1): 105-125 (2012) - [j8]Xiaobing Feng, Steven M. Wise:
Analysis of a Darcy-Cahn-Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation. SIAM J. Numer. Anal. 50(3): 1320-1343 (2012) - 2011
- [j7]Steven M. Wise, John S. Lowengrub, Vittorio Cristini:
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models. Math. Comput. Model. 53(1-2): 1-20 (2011) - [j6]Cheng Wang, Steven M. Wise:
An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation. SIAM J. Numer. Anal. 49(3): 945-969 (2011) - 2010
- [j5]Steven M. Wise:
Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations. J. Sci. Comput. 44(1): 38-68 (2010) - 2009
- [j4]Zhengzheng Hu, Steven M. Wise, Cheng Wang, John S. Lowengrub:
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. J. Comput. Phys. 228(15): 5323-5339 (2009) - [j3]Steven M. Wise, Cheng Wang, John S. Lowengrub:
An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation. SIAM J. Numer. Anal. 47(3): 2269-2288 (2009) - 2007
- [j2]Steven M. Wise, Junseok Kim, John S. Lowengrub:
Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. J. Comput. Phys. 226(1): 414-446 (2007) - 2000
- [j1]Steven M. Wise, Andrew J. Sommese, Layne T. Watson:
Algorithm 801: POLSYS_PLP: a partitioned linear product homotopy code for solving polynomial systems of equations. ACM Trans. Math. Softw. 26(1): 176-200 (2000)
Conference and Workshop Papers
- 2021
- [c1]Samir Sahyoun, Dan Wilson, Seddik M. Djouadi, Steven M. Wise, Hamid Ait Abderrahmane:
Proper Orthogonal Decomposition Reduced Order Model for Tear Film Flows. ACC 2021: 2763-2768
Informal and Other Publications
- 2024
- [i17]Amanda E. Diegel, Cheng Wang, Steven M. Wise:
Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential. CoRR abs/2401.16316 (2024) - [i16]Evan Habbershaw, Cory D. Hauck, Steven M. Wise:
Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. CoRR abs/2404.18039 (2024) - [i15]Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang:
A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. CoRR abs/2407.13453 (2024) - 2023
- [i14]Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang:
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. CoRR abs/2303.11609 (2023) - 2022
- [i13]Jea-Hyun Park, Abner J. Salgado, Steven M. Wise:
Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. CoRR abs/2204.07247 (2022) - [i12]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation. CoRR abs/2208.06123 (2022) - [i11]Xiaoxia Tang, Shuwang Li, John S. Lowengrub, Steven M. Wise:
Phase field modeling and computation of vesicle growth or shrinkage. CoRR abs/2209.13690 (2022) - 2021
- [i10]Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang:
An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels. CoRR abs/2104.09042 (2021) - [i9]Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang:
A positivity-preserving, energy stable scheme for a Ternary Cahn-Hilliard system with the singular interfacial parameters. CoRR abs/2104.14053 (2021) - [i8]Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise:
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. CoRR abs/2105.09415 (2021) - 2020
- [i7]Marco Salvalaglio, Maximilian Selch, Axel Voigt, Steven M. Wise:
Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion. CoRR abs/2004.08712 (2020) - [i6]Andrew J. Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise:
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow. CoRR abs/2006.04784 (2020) - [i5]Jea-Hyun Park, Abner J. Salgado, Steven M. Wise:
Preconditioned accelerated gradient descent methods for locally Lipschitz smooth objectives with applications to the solution of nonlinear PDEs. CoRR abs/2006.06732 (2020) - [i4]Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou:
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. CoRR abs/2009.08076 (2020) - [i3]Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang:
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. CoRR abs/2012.11802 (2020) - 2019
- [i2]Kelong Cheng, Cheng Wang, Steven M. Wise:
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation. CoRR abs/1906.12255 (2019) - [i1]Marco Salvalaglio, Axel Voigt, Steven M. Wise:
Doubly Degenerate Diffuse Interface Models of Surface Diffusion. CoRR abs/1909.04458 (2019)
Coauthor Index
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