Mathematical analysis and calculation of molecular surfaces. - Chaoyu Quan; Benjamin Stamm (J. Comput. Phys., 2016)

A Domain Decomposition Method for the Poisson-Boltzmann Solvation Models. - Chaoyu Quan; Benjamin Stamm; Yvon Maday (SIAM J. Sci. Comput., 2019)

A boundary-partition-based Voronoi diagram of d-dimensional balls: definition, properties, and applications. - Xianglong Duan; Chaoyu Quan; Benjamin Stamm (Adv. Comput. Math., 2020)

Numerical Energy Dissipation for Time-Fractional Phase-Field Equations. - Chaoyu Quan; Tao Tang; Jiang Yang (CoRR, 2020)

On a parabolic sine-Gordon model. - Xinyu Cheng; Dong Li; Chaoyu Quan; Wen Yang (CoRR, 2021)

Sharp convergence to steady states of Allen-Cahn. - Dong Li; Chaoyu Quan; Tao Tang; Wen Yang (CoRR, 2021)

Energy-dissipation for time-fractional phase-field equations. - Dong Li; Chaoyu Quan; Jiao Xu (CoRR, 2021)

On a sinc-type MBE model. - Xinyu Cheng; Dong Li; Chaoyu Quan; Wen Yang (CoRR, 2021)

On the energy stability of Strang-splitting for Cahn-Hilliard. - Dong Li; Chaoyu Quan (CoRR, 2021)

Negative time splitting is stable. - Dong Li; Chaoyu Quan (CoRR, 2021)

Energy dissipation of Strang splitting for Allen-Cahn. - Dong Li; Chaoyu Quan; Tao Tang (CoRR, 2021)

Energy stability of Strang splitting for vector-valued and matrix-valued Allen-Cahn equations. - Dong Li; Chaoyu Quan (CoRR, 2021)

An F-modulated stability framework for multistep methods. - Dong Li; Chaoyu Quan; Wen Yang (CoRR, 2021)

The BDF3/EP3 Scheme for MBE with No Slope Selection is Stable. - Dong Li; Chaoyu Quan; Wen Yang (J. Sci. Comput., 2021)

Correction to: The BDF3/EP3 Scheme for MBE with No Slope Selection is Stable. - Dong Li; Chaoyu Quan; Wen Yang (J. Sci. Comput., 2021)

A decreasing upper bound of energy for time-fractional phase-field equations. - Chaoyu Quan; Tao Tang; Boyi Wang; Jiang Yang (CoRR, 2022)

Computation of forces arising from the linear Poisson-Boltzmann method in the domain-decomposition paradigm. - Abhinav Jha; Michele Nottoli; Chaoyu Quan; Benjamin Stamm (CoRR, 2022)

On an interior-exterior nonoverlapping domain decomposition method for the Poisson-Boltzmann equation. - Xuanyu Liu; Yvon Maday; Chaoyu Quan; Hui Zhang (CoRR, 2022)

H1-stability of an L2-type method on general nonuniform meshes for subdiffusion equation. - Chaoyu Quan; Xu Wu (CoRR, 2022)

On stability and convergence of L2-1σ method on general nonuniform meshes for subdiffusion equation. - Chaoyu Quan; Xu Wu (CoRR, 2022)

Long time H1-stability of fast L2-1σ method on general nonuniform meshes for subdiffusion equations. - Chaoyu Quan; Xu Wu; Jiang Yang (CoRR, 2022)

Roundoff error problem in L2-type methods for time-fractional problems. - Chaoyu Quan; Shijie Wang; Xu Wu (CoRR, 2022)

Stability and convergence of Strang splitting. Part II: Tensorial Allen-Cahn equations. - Dong Li; Chaoyu Quan; Jiao Xu (J. Comput. Phys., 2022)

Stability and convergence of Strang splitting. Part I: Scalar Allen-Cahn equation. - Dong Li; Chaoyu Quan; Jiao Xu (J. Comput. Phys., 2022)

Energy stable L2 schemes for time-fractional phase-field equations. - Chaoyu Quan; Boyi Wang (J. Comput. Phys., 2022)

The Operator-Splitting Method for Cahn-Hilliard is Stable. - Dong Li; Chaoyu Quan (J. Sci. Comput., 2022)

Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation. - Dong Li; Chaoyu Quan; Tao Tang (Math. Comput., 2022)

Maximum bound principle preserving and energy decreasing exponential time differencing schemes for the matrix-valued Allen-Cahn equation. - Yaru Liu; Chaoyu Quan; Dong Wang (CoRR, 2023)

Global-in-Time H1-Stability of L2-1σ Method on General Nonuniform Meshes for Subdiffusion Equation. - Chaoyu Quan; Xu Wu (J. Sci. Comput., 2023)

({ boldsymbol{H^1}} ) -Norm Stability and Convergence of an L2-Type Method on Nonuniform Meshes for Subdiffusion Equation. - Chaoyu Quan; Xu Wu (SIAM J. Numer. Anal., 2023)

Maximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge-Kutta schemes for Allen-Cahn equations. - Chaoyu Quan; Xiaoming Wang; Pinzhong Zheng; Zhi Zhou (CoRR, 2024)

Long time H1-stability of fast L2-1σ method on general nonuniform meshes for subdiffusion equations. - Chaoyu Quan; Xu Wu; Jiang Yang (J. Comput. Appl. Math., 2024)

Convergence Analysis of a Solver for the Linear Poisson-Boltzmann Model. - Xuanyu Liu; Yvon Maday; Chaoyu Quan; Hui Zhang (SIAM J. Numer. Anal., 2025)

Stability and Convergence of Strang Splitting Method for the Allen-Cahn Equation with Homogeneous Neumann Boundary Condition. - Chaoyu Quan; Zhijun Tan; Yanyao Wu (CoRR, 2025)

Maximum bound preservation of exponential integrators for Allen-Cahn equations. - Chaoyu Quan; Pingzhong Zheng; Zhi Zhou (CoRR, 2025)

Stability and convergence of multi-product expansion splitting methods with negative weights for semilinear parabolic equations. - Xianglong Duan; Chaoyu Quan; Jiang Yang; Zijing Zhu (CoRR, 2025)

Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation. - Chaoyu Quan; Tao Tang; Dong Wang (CoRR, 2025)

Convergence analysis of a novel Strang directional splitting method for the Allen-Cahn equations. - Min Gao; Chaoyu Quan; Zhen Zhang 018 (J. Comput. Appl. Math., 2026)