Spectral approximation methods and error estimates for Caputo fractional derivative with applications to initial-value problems. - Beiping Duan; Zhoushun Zheng; Wen Cao (J. Comput. Phys., 2016)

Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems. - Beiping Duan; Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; Zhi Zhou 002 (Comput. Methods Appl. Math., 2018)

An Exponentially Convergent Scheme in Time for Time Fractional Diffusion Equations with Non-smooth Initial Data. - Beiping Duan; Zhoushun Zheng (J. Sci. Comput., 2019)

A Rational Approximation Scheme for Computing Mittag-Leffler Function with Discrete Elliptic Operator as Input. - Beiping Duan; Zhimin Zhang 002 (J. Sci. Comput., 2021)

An Effective Finite Element Method with Singularity Reconstruction for Fractional Convection-diffusion Equation. - Taibai Fu; Beiping Duan; Zhoushun Zheng (J. Sci. Comput., 2021)

Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds. - Beiping Duan (CoRR, 2022)

An energy diminishing arbitrary Lagrangian-Eulerian finite element method for two-phase Navier-Stokes flow. - Beiping Duan; Buyang Li; Zongze Yang (J. Comput. Phys., 2022)

A Quadrature Scheme for Steady-State Diffusion Equations Involving Fractional Power of Regularly Accretive Operator. - Beiping Duan; Zongze Yang (SIAM J. Sci. Comput., 2023)

Energy-Stable and Mesh-Preserving Parametric FEM for Mean Curvature Flow of Surfaces. - Beiping Duan (SIAM J. Sci. Comput., 2024)

New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution. - Beiping Duan; Buyang Li (SIAM J. Sci. Comput., 2024)

Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus. - Guidong Liu; Wenjie Liu; Beiping Duan (Adv. Comput. Math., 2024)

Mesh-Preserving and Energy-Stable Parametric FEM for Geometric Flows of Surfaces. - Beiping Duan (SIAM J. Numer. Anal., 2025)