Steven M. Wise

69 papers C 1Journal 68

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. J. Comput. Appl. Math. Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
2026	J	`jnl`	An Efficient Constant-Coefficient MSAV Scheme for Computing Vesicle Growth and Shrinkage. CoRR Zhiwei Zhang, Shuwang Li, John Lowengrub, Steven M. Wise
2025	J	`jnl`	A GPU-Accelerated Matrix-Free FAS Multigrid Solver for Navier-Stokes Equations with Memory-Efficient Implementations. CoRR Jiale Meng, Shuqi Tang, Steven M. Wise, Zhenlin Guo
2025	J	`jnl`	A perturbed preconditioned gradient descent method for the unconstrained minimization of composite objectives. CoRR Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
2025	J	`jnl`	Asymptotic Relaxation of Moment Equations for a Multi-species, Homogeneous BGK Model. SIAM J. Appl. Math. Evan Habbershaw, Ryan S. Glasby, Jeffrey R. Haack, Cory D. Hauck, Steven M. Wise
2025	J	`jnl`	Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. SIAM J. Numer. Anal. Evan Habbershaw, Cory D. Hauck, Steven M. Wise
2024	J	`jnl`	A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. CoRR Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
2024	J	`jnl`	Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential. CoRR Amanda E. Diegel, Cheng Wang, Steven M. Wise
2024	J	`jnl`	Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations. J. Comput. Appl. Math. Cheng Wang, Jilu Wang, Steven M. Wise, Zeyu Xia, Liwei Xu
2024	J	`jnl`	Gamma-Convergence and Asymptotic Analysis for a Diffuse Domain Problem with Transmission Boundary Conditions. CoRR Toai Luong, Tadele Mengesha, Steven M. Wise, Ming-Hei Wong
2024	J	`jnl`	Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. CoRR Evan Habbershaw, Cory D. Hauck, Steven M. Wise
2023	J	`jnl`	A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis. J. Sci. Comput. Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
2023	J	`jnl`	Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. CoRR Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
2023	J	`jnl`	Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. Math. Comput. Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang
2022	J	`jnl`	A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation. CoRR Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
2022	J	`jnl`	An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. J. Comput. Appl. Math. Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
2022	J	`jnl`	Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. CoRR Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
2022	J	`jnl`	Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance. SIAM J. Numer. Anal. Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise
2022	J	`jnl`	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. Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
2022	J	`jnl`	Phase field modeling and computation of vesicle growth or shrinkage. CoRR Xiaoxia Tang, Shuwang Li, John S. Lowengrub, Steven M. Wise
2021	J	`jnl`	A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. Math. Comput. Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
2021	J	`jnl`	A positivity-preserving, energy stable scheme for a Ternary Cahn-Hilliard system with the singular interfacial parameters. CoRR Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
2021	J	`jnl`	A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. J. Comput. Phys. Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang
2021	J	`jnl`	An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels. J. Sci. Comput. Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
2021	J	`jnl`	An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels. CoRR Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
2021	J	`jnl`	An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. J. Comput. Appl. Math. Jing Guo, Cheng Wang, Steven M. Wise, Xingye Yue
2021	J	`jnl`	Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. CoRR Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise
2021	J	`jnl`	Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs. J. Sci. Comput. Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
2021	C	`conf`	Proper Orthogonal Decomposition Reduced Order Model for Tear Film Flows. ACC Samir Sahyoun, Dan Wilson, Seddik M. Djouadi, Steven M. Wise, Hamid Ait Abderrahmane
2021	J	`jnl`	Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model. SIAM J. Sci. Comput. Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang
2020	J	`jnl`	A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. CoRR Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou
2020	J	`jnl`	A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis. J. Comput. Phys. Kelong Cheng, Cheng Wang, Steven M. Wise
2020	J	`jnl`	Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow. CoRR Andrew J. Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise
2020	J	`jnl`	Convergence analysis of the Fast Subspace Descent method for convex optimization problems. Math. Comput. Long Chen, Xiaozhe Hu, Steven M. Wise
2020	J	`jnl`	Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion. CoRR Marco Salvalaglio, Maximilian Selch, Axel Voigt, Steven M. Wise
2020	J	`jnl`	Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System. J. Sci. Comput. Wenbin Chen, Cheng Wang, Shufen Wang, Xiaoming Wang, Steven M. Wise
2020	J	`jnl`	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. Chenhui Zhang, Jie Ouyang, Cheng Wang, Steven M. Wise
2020	J	`jnl`	Preconditioned accelerated gradient descent methods for locally Lipschitz smooth objectives with applications to the solution of nonlinear PDEs. CoRR Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
2020	J	`jnl`	Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model. CoRR Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang
2019	J	`jnl`	An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation. CoRR Kelong Cheng, Cheng Wang, Steven M. Wise
2019	J	`jnl`	An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation. J. Comput. Appl. Math. Kelong Cheng, Wenqiang Feng, Cheng Wang, Steven M. Wise
2019	J	`jnl`	Doubly Degenerate Diffuse Interface Models of Surface Diffusion. CoRR Marco Salvalaglio, Axel Voigt, Steven M. Wise
2019	J	`jnl`	Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. J. Comput. Phys. X Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise
2018	J	`jnl`	A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation and Its Convergence Analysis. J. Sci. Comput. Wenqiang Feng, Zhen Guan, John S. Lowengrub, Cheng Wang, Steven M. Wise, Ying Chen
2018	J	`jnl`	A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-cartesian grids. J. Comput. Phys. Wenqiang Feng, Zhenlin Guo, John S. Lowengrub, Steven M. Wise
2018	J	`jnl`	Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation. Comput. Math. Appl. Lixiu Dong, Wenqiang Feng, Cheng Wang, Steven M. Wise, Zhengru Zhang
2018	J	`jnl`	Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. J. Comput. Phys. Ying Chen, John S. Lowengrub, Jie Shen, Cheng Wang, Steven M. Wise
2017	J	`jnl`	Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. Numerische Mathematik Amanda E. Diegel, Cheng Wang, Xiaoming Wang, Steven M. Wise
2017	J	`jnl`	Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. Numerische Mathematik Yuan Liu, Wenbin Chen, Cheng Wang, Steven M. Wise
2017	J	`jnl`	Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. J. Comput. Phys. Wenqiang Feng, Abner J. Salgado, Cheng Wang, Steven M. Wise
2016	J	`jnl`	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. Kelong Cheng, Cheng Wang, Steven M. Wise, Xingye Yue
2016	J	`jnl`	An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. J. Comput. Phys. Zhen Guan, Vili Heinonen, John S. Lowengrub, Cheng Wang, Steven M. Wise
2016	J	`jnl`	Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. Math. Comput. Wenbin Chen, Yuan Liu, Cheng Wang, Steven M. Wise
2015	J	`jnl`	Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System. SIAM J. Numer. Anal. Amanda E. Diegel, Xiaobing H. Feng, Steven M. Wise
2014	J	`jnl`	A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection. J. Sci. Comput. Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise
2014	J	`jnl`	A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation. Numerische Mathematik Zhen Guan, Cheng Wang, Steven M. Wise
2014	J	`jnl`	Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. J. Comput. Phys. Zhen Guan, John S. Lowengrub, Cheng Wang, Steven M. Wise
2013	J	`jnl`	Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation. SIAM J. Numer. Anal. Arvind Baskaran, John S. Lowengrub, Cheng Wang, Steven M. Wise
2013	J	`jnl`	Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. J. Comput. Phys. Arvind Baskaran, Zhengzheng Hu, John S. Lowengrub, Cheng Wang, Steven M. Wise, Peng Zhou
2012	J	`jnl`	A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection. J. Sci. Comput. Wenbin Chen, Sidafa Conde, Cheng Wang, Xiaoming Wang, Steven M. Wise
2012	J	`jnl`	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. Xiaobing Feng, Steven M. Wise
2012	J	`jnl`	Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. SIAM J. Numer. Anal. Jie Shen, Cheng Wang, Xiaoming Wang, Steven M. Wise
2011	J	`jnl`	An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation. SIAM J. Numer. Anal. Cheng Wang, Steven M. Wise
2011	J	`jnl`	An adaptive multigrid algorithm for simulating solid tumor growth using mixture models. Math. Comput. Model. Steven M. Wise, John S. Lowengrub, Vittorio Cristini
2010	J	`jnl`	Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations. J. Sci. Comput. Steven M. Wise
2009	J	`jnl`	An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation. SIAM J. Numer. Anal. Steven M. Wise, Cheng Wang, John S. Lowengrub
2009	J	`jnl`	Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. J. Comput. Phys. Zhengzheng Hu, Steven M. Wise, Cheng Wang, John S. Lowengrub
2007	J	`jnl`	Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. J. Comput. Phys. Steven M. Wise, Junseok Kim, John S. Lowengrub
2000	J	`jnl`	Algorithm 801: POLSYS_PLP: a partitioned linear product homotopy code for solving polynomial systems of equations. ACM Trans. Math. Softw. Steven M. Wise, Andrew J. Sommese, Layne T. Watson