Steven M. Wise

According to our database, Steven M. Wise authored at least 55 papers between 2000 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-Magnetohydrodynamics system of equations.

Cheng Wang, Jilu Wang, Steven M. Wise, Zeyu Xia, Liwei Xu

J. Comput. Appl. Math., January, 2024

A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition.

Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang

CoRR, 2024

Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model.

Evan Habbershaw, Cory D. Hauck, Steven M. Wise

CoRR, 2024

Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential.

Amanda E. Diegel, Cheng Wang, Steven M. Wise

CoRR, 2024

2023

A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson-Nernst-Planck System and Its Convergence Analysis.

Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou

J. Sci. Comput., October, 2023

Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential.

Yunzhuo Guo, Cheng Wang, Steven M. Wise, Zhengru Zhang

Math. Comput., 2023

2022

Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance.

Chun Liu, Cheng Wang, Yiwei Wang, Steven M. Wise

SIAM J. Numer. Anal., 2022

An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis.

Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou

J. Comput. Appl. Math., 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, Steven M. Wise, Zhengru Zhang

J. Comput. Appl. Math., 2022

Phase field modeling and computation of vesicle growth or shrinkage.

Xiaoxia Tang, Shuwang Li, John S. Lowengrub, Steven M. Wise

CoRR, 2022

A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation.

Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou

CoRR, 2022

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

2021

Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model.

Juan Zhang, Cheng Wang, Steven M. Wise, Zhengru Zhang

SIAM J. Sci. Comput., 2021

A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system.

Chun Liu, Cheng Wang, Steven M. Wise, Xingye Yue, Shenggao Zhou

Math. 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, Cheng Wang, Steven M. Wise, Zhengru Zhang

J. Sci. Comput., 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

A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters.

Lixiu Dong, Cheng Wang, Steven M. Wise, Zhengru Zhang

J. Comput. Phys., 2021

An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation.

Jing Guo, Cheng Wang, Steven M. Wise, Xingye Yue

J. Comput. Appl. Math., 2021

Proper Orthogonal Decomposition Reduced Order Model for Tear Film Flows.

Samir Sahyoun, Dan Wilson, Seddik M. Djouadi, Steven M. Wise, Hamid Ait Abderrahmane

Proceedings of the 2021 American Control Conference, 2021

2020

Convergence analysis of the Fast Subspace Descent method for convex optimization problems.

Long Chen, Xiaozhe Hu, Steven M. Wise

Math. Comput., 2020

Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System.

Wenbin Chen, Cheng Wang, Shufen Wang, Xiaoming Wang, Steven M. Wise

J. Sci. Comput., 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, Steven M. Wise

J. Comput. Phys., 2020

A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis.

Kelong Cheng, Cheng Wang, Steven M. Wise

J. Comput. Phys., 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

Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion.

Marco Salvalaglio, Maximilian Selch, Axel Voigt, Steven M. Wise

CoRR, 2020

2019

Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential.

Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise

J. Comput. Phys. X, 2019

An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation.

Kelong Cheng, Wenqiang Feng, Cheng Wang, Steven M. Wise

J. Comput. Appl. Math., 2019

Doubly Degenerate Diffuse Interface Models of Surface Diffusion.

Marco Salvalaglio, Axel Voigt, Steven M. Wise

CoRR, 2019

An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation.

Kelong Cheng, Cheng Wang, Steven M. Wise

CoRR, 2019

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, Steven M. Wise, Ying Chen

J. Sci. Comput., 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

Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization.

Ying Chen, John S. Lowengrub, Jie Shen, Cheng Wang, Steven M. Wise

J. Comput. Phys., 2018

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, Steven M. Wise, Zhengru Zhang

Comput. Math. Appl., 2018

2017

Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system.

Yuan Liu, Wenbin Chen, Cheng Wang, Steven M. Wise

Numerische Mathematik, 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, Xiaoming Wang, Steven M. Wise

Numerische Mathematik, 2017

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms.

Wenqiang Feng, Abner J. Salgado, Cheng Wang, Steven M. Wise

J. Comput. Phys., 2017

2016

Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation.

Wenbin Chen, Yuan Liu, Cheng Wang, Steven M. Wise

Math. Comput., 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, Steven M. Wise, Xingye Yue

J. Sci. Comput., 2016

An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations.

Zhen Guan, Vili Heinonen, John S. Lowengrub, Cheng Wang, Steven M. Wise

J. Comput. Phys., 2016

2015

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

2014

A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation.

Zhen Guan, Cheng Wang, Steven M. Wise

Numerische Mathematik, 2014

A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection.

Wenbin Chen, Cheng Wang, Xiaoming Wang, Steven M. Wise

J. Sci. Comput., 2014

Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations.

Zhen Guan, John S. Lowengrub, Cheng Wang, Steven M. Wise

J. Comput. Phys., 2014

2013

Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation.

Arvind Baskaran, John S. Lowengrub, Cheng Wang, Steven M. Wise

SIAM J. Numer. Anal., 2013

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, Steven M. Wise, Peng Zhou

J. Comput. Phys., 2013

2012

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy.

Jie Shen, Cheng Wang, Xiaoming Wang, Steven M. Wise

SIAM J. Numer. Anal., 2012

Analysis of a Darcy-Cahn-Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation.

Xiaobing Feng, Steven M. Wise

SIAM J. Numer. Anal., 2012

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection.

Wenbin Chen, Sidafa Conde, Cheng Wang, Xiaoming Wang, Steven M. Wise

J. Sci. Comput., 2012

2011

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation.

Cheng Wang, Steven M. Wise

SIAM J. Numer. Anal., 2011

An adaptive multigrid algorithm for simulating solid tumor growth using mixture models.

Steven M. Wise, John S. Lowengrub, Vittorio Cristini

Math. Comput. Model., 2011

2010

Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations.

Steven M. Wise

J. Sci. Comput., 2010

2009

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation.

Steven M. Wise, Cheng Wang, John S. Lowengrub

SIAM J. Numer. Anal., 2009

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation.

Zhengzheng Hu, Steven M. Wise, Cheng Wang, John S. Lowengrub

J. Comput. Phys., 2009

2007

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

2000

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