Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. - Qing Cheng 003; Xiaofeng Yang 003; Jie Shen 001 (J. Comput. Phys., 2017)

Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model. - Qing Cheng 003; Jie Shen 001 (SIAM J. Sci. Comput., 2018)

A new Lagrange Multiplier approach for gradient flows. - Qing Cheng 003; Chun Liu 009; Jie Shen 001 (CoRR, 2019)

Global constraints preserving SAV schemes for gradient flows. - Qing Cheng 003; Jie Shen 001 (CoRR, 2019)

Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach. - Qing Cheng 003; Jie Shen 001; Xiaofeng Yang 003 (J. Sci. Comput., 2019)

The generalized scalar auxiliary variable approach (G-SAV) for gradient flows. - Qing Cheng 003 (CoRR, 2020)

A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case☆. - Qing Cheng 003; Chun Liu 009; Jie Shen 001 (J. Comput. Phys., 2020)

Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows. - Qing Cheng 003; Jie Shen 001 (SIAM J. Sci. Comput., 2020)

Modeling and simulation of nuclear architecture reorganization process using a phase field approach. - Qing Cheng 003; Pourya Delafrouz; Jie Liang 002; Chun Liu 009; Jie Shen 001 (CoRR, 2021)

A new Lagrange multiplier approach for constructing positivity preserving schemes. - Qing Cheng 003; Jie Shen 001 (CoRR, 2021)

Generalized SAV approaches for gradient systems. - Qing Cheng 003; Chun Liu 009; Jie Shen 001 (J. Comput. Appl. Math., 2021)

Modeling and simulation of cell nuclear architecture reorganization process. - Qing Cheng 003; Pourya Delafrouz; Jie Liang 002; Chun Liu 009; Jie Shen 001 (J. Comput. Phys., 2022)

Second order approximation for a quasi-incompressible Navier-Stokes Cahn-Hilliard system of two-phase flows with variable density. - Zhenlin Guo; Qing Cheng 003; Ping Lin; Chun Liu 009; John S. Lowengrub (J. Comput. Phys., 2022)

A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving. - Qing Cheng 003; Jie Shen 001 (SIAM J. Numer. Anal., 2022)

A positivity preserving scheme for Poisson-Nernst-Planck Navier-Stokes equations and its error analysis. - Ziyao Yu; Qing Cheng 003; Jie Shen 001; Changyou Wang (CoRR, 2023)

Length Preserving Numerical Schemes for Landau-Lifshitz Equation Based on Lagrange Multiplier Approaches. - Qing Cheng 003; Jie Shen 001 (SIAM J. Sci. Comput., 2023)