Unique Solvability and Error Analysis of a Scheme Using the Lagrange Multiplier Approach for Gradient Flows

The scalar auxiliary variable (SAV) approach for gradient flows

Jie Shen, Jie Xu, Jiang Yang · Journal of Computational Physics · 2017 · 1K citations

Natural Sciences, Mathematics, Differential Equations +11

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

Jie Shen, Xiaofeng Yang · Discrete and Continuous Dynamical Systems · 2010 · 954 citations · Full text

Computing, Computational Engineering, Computational Mechanics +15

A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

Jie Shen, Jie Xu, Jiang Yang · SIAM Review · 2019 · 682 citations · Full text

Natural Sciences, Computational Engineering, Physics +11

Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

Weizhu Bao, Qiang Du · SIAM Journal on Scientific Computing · 2004 · 497 citations

Natural Sciences, Physics, Computational Physics +12

The Global Dynamics of Discrete Semilinear Parabolic Equations

Charles M. Elliott, Andrew M. Stuart · SIAM Journal on Numerical Analysis · 1993 · 337 citations

Natural Sciences, Mathematics, Physics +17