Steven M. Wise

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 46

Top Topics

Numerical Scheme

Top Venues

J. Comput. Phys.

J. Sci. Comput.

J. Comput. Appl. Math.

Publications

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 (2024)
Evan Habbershaw, Cory D. Hauck, Steven M. Wise
Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. CoRR (2024)
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 (2024)
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 (2024)
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) (2023)
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) (2023)
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 (2023)
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 (2022)
Xiaoxia Tang, Shuwang Li, John S. Lowengrub, Steven M. Wise
Phase field modeling and computation of vesicle growth or shrinkage. CoRR (2022)
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 (2022)
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 (2022)
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) (2022)
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 (2022)
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 (2021)
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) (2021)
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) (2021)
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 (2021)
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) (2021)
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 (2021)
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 (2021)
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 (2021)
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) (2021)
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)
Marco Salvalaglio, Maximilian Selch, Axel Voigt, Steven M. Wise
Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion. CoRR (2020)
Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. CoRR (2020)
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 (2020)
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 (2020)
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) (2020)
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 (2020)
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 (2020)
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 (2020)
Long Chen, Xiaozhe Hu, Steven M. Wise
Convergence analysis of the Fast Subspace Descent method for convex optimization problems. Math. Comput. 89 (325) (2020)
Kelong Cheng, Cheng Wang, Steven M. Wise
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation. CoRR (2019)
Marco Salvalaglio, Axel Voigt, Steven M. Wise
Doubly Degenerate Diffuse Interface Models of Surface Diffusion. CoRR (2019)
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 (2019)
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 (2019)
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 (2018)
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 (2018)
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) (2018)
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) (2018)
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) (2017)
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 (2017)
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) (2017)
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) (2016)
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) (2016)
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 (2016)
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) (2015)
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 (2014)
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) (2014)
Zhen Guan, Cheng Wang, Steven M. Wise
A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation. Numerische Mathematik 128 (2) (2014)
Arvind Baskaran, John S. Lowengrub, C. 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) (2013)
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 (2013)
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) (2012)
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) (2012)
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) (2012)
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) (2011)
C. 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) (2011)
Steven M. Wise
Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations. J. Sci. Comput. 44 (1) (2010)
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) (2009)
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) (2009)
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) (2007)
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) (2000)