Algorithm 801: POLSYS_PLP: a partitioned linear product homotopy code for solving polynomial systems of equations. - Steven M. Wise; Andrew J. Sommese; Layne T. Watson (ACM Trans. Math. Softw., 2000)

Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. - Steven M. Wise; Junseok Kim; John S. Lowengrub (J. Comput. Phys., 2007)

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. - Zhengzheng Hu; Steven M. Wise; Cheng Wang 015; John S. Lowengrub (J. Comput. Phys., 2009)

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation. - Steven M. Wise; Cheng Wang 015; John S. Lowengrub (SIAM J. Numer. Anal., 2009)

Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations. - Steven M. Wise (J. Sci. Comput., 2010)

An adaptive multigrid algorithm for simulating solid tumor growth using mixture models. - Steven M. Wise; John S. Lowengrub; Vittorio Cristini (Math. Comput. Model., 2011)

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation. - Cheng Wang 015; Steven M. Wise (SIAM J. Numer. Anal., 2011)

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection. - Wenbin Chen 006; Sidafa Conde; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (J. Sci. Comput., 2012)

Analysis of a Darcy-Cahn-Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation. - Xiaobing Feng 001; Steven M. Wise (SIAM J. Numer. Anal., 2012)

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. - Jie Shen 001; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (SIAM J. Numer. Anal., 2012)

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. - Arvind Baskaran; Zhengzheng Hu; John S. Lowengrub; Cheng Wang 015; Steven M. Wise; Peng Zhou (J. Comput. Phys., 2013)

Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation. - Arvind Baskaran; John S. Lowengrub; Cheng Wang 015; Steven M. Wise (SIAM J. Numer. Anal., 2013)

Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. - Zhen Guan; John S. Lowengrub; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2014)

A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection. - Wenbin Chen 006; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (J. Sci. Comput., 2014)

A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation. - Zhen Guan; Cheng Wang 015; Steven M. Wise (Numerische Mathematik, 2014)

Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System. - Amanda E. Diegel; Xiaobing H. Feng; Steven M. Wise (SIAM J. Numer. Anal., 2015)

An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. - Zhen Guan; Vili Heinonen; John S. Lowengrub; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2016)

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn-Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method. - Kelong Cheng; Cheng Wang 015; Steven M. Wise; Xingye Yue (J. Sci. Comput., 2016)

Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. - Wenbin Chen 006; Yuan Liu; Cheng Wang 015; Steven M. Wise (Math. Comput., 2016)

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. - Wenqiang Feng; Abner J. Salgado; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2017)

Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. - Amanda E. Diegel; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (Numerische Mathematik, 2017)

Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system. - Yuan Liu; Wenbin Chen 006; Cheng Wang 015; Steven M. Wise (Numerische Mathematik, 2017)

Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation. - Lixiu Dong; Wenqiang Feng; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (Comput. Math. Appl., 2018)

Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. - Ying Chen; John S. Lowengrub; Jie Shen 001; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2018)

A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-cartesian grids. - Wenqiang Feng; Zhenlin Guo; John S. Lowengrub; Steven M. Wise (J. Comput. Phys., 2018)

A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation and Its Convergence Analysis. - Wenqiang Feng; Zhen Guan; John S. Lowengrub; Cheng Wang 015; Steven M. Wise; Ying Chen (J. Sci. Comput., 2018)

An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation. - Kelong Cheng; Cheng Wang 015; Steven M. Wise (CoRR, 2019)

Doubly Degenerate Diffuse Interface Models of Surface Diffusion. - Marco Salvalaglio; Axel Voigt; Steven M. Wise (CoRR, 2019)

An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation. - Kelong Cheng; Wenqiang Feng; Cheng Wang 015; Steven M. Wise (J. Comput. Appl. Math., 2019)

Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential. - Wenbin Chen 006; Cheng Wang 015; Xiaoming Wang 009; Steven M. Wise (J. Comput. Phys. X, 2019)

Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion. - Marco Salvalaglio; Maximilian Selch; Axel Voigt; Steven M. Wise (CoRR, 2020)

Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow. - Andrew J. Christlieb; Keith Promislow; Zengqiang Tan; Sulin Wang; Brian Wetton; Steven M. Wise (CoRR, 2020)

A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis. - Kelong Cheng; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2020)

Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation. - Chenhui Zhang; Jie Ouyang; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2020)

Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System. - Wenbin Chen 006; Cheng Wang 015; Shufen Wang; Xiaoming Wang 009; Steven M. Wise (J. Sci. Comput., 2020)

Convergence analysis of the Fast Subspace Descent method for convex optimization problems. - Long Chen 002; Xiaozhe Hu; Steven M. Wise (Math. Comput., 2020)

Proper Orthogonal Decomposition Reduced Order Model for Tear Film Flows. - Samir Sahyoun; Dan Wilson; Seddik M. Djouadi; Steven M. Wise; Hamid Ait Abderrahmane (ACC, 2021)

An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation. - Jing Guo; Cheng Wang 015; Steven M. Wise; Xingye Yue (J. Comput. Appl. Math., 2021)

A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters. - Lixiu Dong; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Phys., 2021)

Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs. - Jea-Hyun Park; Abner J. Salgado; Steven M. Wise (J. Sci. Comput., 2021)

An Energy Stable Finite Element Scheme for the Three-Component Cahn-Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels. - Maoqin Yuan; Wenbin Chen 006; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Sci. Comput., 2021)

A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (Math. Comput., 2021)

Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model. - Juan Zhang; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (SIAM J. Sci. Comput., 2021)

Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. - Jea-Hyun Park; Abner J. Salgado; Steven M. Wise (CoRR, 2022)

A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (CoRR, 2022)

Phase field modeling and computation of vesicle growth or shrinkage. - Xiaoxia Tang; Shuwang Li; John S. Lowengrub; Steven M. Wise (CoRR, 2022)

Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential. - Lixiu Dong; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Appl. Math., 2022)

An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (J. Comput. Appl. Math., 2022)

Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance. - Chun Liu 009; Cheng Wang 015; Yiwei Wang; Steven M. Wise (SIAM J. Numer. Anal., 2022)

Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential. - Yunzhuo Guo; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (Math. Comput., 2023)

A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis. - Chun Liu 009; Cheng Wang 015; Steven M. Wise; Xingye Yue; Shenggao Zhou (J. Sci. Comput., 2023)

Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential. - Amanda E. Diegel; Cheng Wang 015; Steven M. Wise (CoRR, 2024)

Gamma-Convergence and Asymptotic Analysis for a Diffuse Domain Problem with Transmission Boundary Conditions. - Toai Luong; Tadele Mengesha; Steven M. Wise; Ming-Hei Wong (CoRR, 2024)

Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations. - Cheng Wang 015; Jilu Wang; Steven M. Wise; Zeyu Xia 001; Liwei Xu (J. Comput. Appl. Math., 2024)

Asymptotic Relaxation of Moment Equations for a Multi-species, Homogeneous BGK Model. - Evan Habbershaw; Ryan S. Glasby; Jeffrey R. Haack; Cory D. Hauck; Steven M. Wise (SIAM J. Appl. Math., 2025)

Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model. - Evan Habbershaw; Cory D. Hauck; Steven M. Wise (SIAM J. Numer. Anal., 2025)

A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. - Yunzhuo Guo; Cheng Wang 015; Steven M. Wise; Zhengru Zhang (J. Comput. Appl. Math., 2026)