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Buyang Li

  1. Convergence of finite elements on an evolving surface driven by\n diffusion on the surface
    2016/07/25 by Balázs Kovács, Buyang Li, Kovács, Balázs +5 · 5 citations
    Computer Science · Engineering · Mathematics · #35R01 #65M12 #65M15 #65M60 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
  2. Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations
    2020/10/17 by Buyang Li, Li, Buyang, Jiang Yang +3 · 5 citations
    Materials Science · Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Solidification and crystal growth phenomena
  3. Error analysis of linearized semi-implicit Galerkin finite element\n methods for nonlinear parabolic equations
    2012/08/23 by Buyang Li, Weiwei Sun, Li, Buyang +1 · 3 citations
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Numerical methods in engineering
  4. Mathematical and numerical analysis of time-dependent Ginzburg--Landau equations in nonconvex polygons based on Hodge decomposition
    2014/10/14 by Buyang Li, Zhimin Zhang, Li, Buyang +1 · 4 citations
    Engineering · Computer Science · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems
  5. A convergent evolving finite element algorithm for Willmore flow of\n closed surfaces
    2020/07/30 by Balázs Kovács, Kovács, Balázs, Buyang Li +3 · 4 citations
    Engineering · #35R01 #65M12 #65M15 #65M60 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)
  6. Weak discrete maximum principle of finite element methods in convex polyhedra
    2019/09/15 by Dmitriy Leykekhman, Buyang Li, Leykekhman, Dmitriy +1 · 3 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA)
  7. Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements
    2021/01/11 by Buyang Li, Li, Buyang · 3 citations
    Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA)
  8. A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
    2020/11/16 by Buyang Li, Li, Buyang, Shu Ma +1 · 3 citations
    Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
  9. A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations
    2014/10/14 by Buyang Li, Li, Buyang, Zhimin Zhang +1 · 2 citations
    Engineering · Physics and Astronomy · #Atomic and Subatomic Physics Research #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Magnetic properties of thin films #Numerical Analysis (math.NA)
  10. Analysis of fully discrete finite element methods for 2D Navier--Stokes equations with critical initial data
    2021/01/07 by Buyang Li, Li, Buyang, Shu Ma +3 · 3 citations
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Numerical methods in engineering
  11. Convergence of a decoupled mixed FEM for the dynamic Ginzburg--Landau equations in nonsmooth domains with incompatible initial data
    2016/05/04 by Buyang Li, Li, Buyang · 2 citations
    Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering
  12. Subdiffusion with a time-dependent coefficient: analysis and numerical solution
    2018/09/20 by Bangti Jin, Buyang Li, Jin, Bangti +3 · 2 citations
    Engineering · Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods in engineering
  13. High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation
    2020/06/09 by Xiaobing Feng, Buyang Li, Feng, Xiaobing +3 · 2 citations
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
  14. Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems
    2021/06/15 by Balázs Kovács, Kovács, Balázs, Buyang Li +1 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Numerical methods in inverse problems
  15. Numerical analysis of nonlinear subdiffusion equations
    2017/05/21 by Bangti Jin, Jin, Bangti, Buyang Li +3 · 1 citation
    Engineering · Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods in engineering
  16. High-order splitting finite element methods for the subdiffusion equation with limited smoothing property
    2023/07/14 by Buyang Li, Li, Buyang, Zongze Yang +3 · 1 citation
    Engineering · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
  17. Convergence of a moving window method for the Schrödinger equation with potential on ℝd
    2024/08/18 by Arieh Iserles, Buyang Li, Iserles, Arieh +3 · 1 citation
    Mathematics · #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #Advanced Mathematical Physics Problems
  18. Weighted H2 regularity of fluid-structure interaction when the interface intersects the boundary
    2026/07/24 by Zhaonan Dong, Tiantian Huang, Buyang Li
    #math.AP #cs.NA #math.NA
  19. Structure-preserving Lagrange-multiplier methods for mean curvature flow and their error bounds
    2026/07/16 by Balázs Kovács, Buyang Li, Christian Lubich
    #math.NA #cs.NA
  20. Finite element exponential integration for rough solutions of nonlinear wave equations. Part II: Dynamic boundary conditions on curved domains
    2026/07/17 by Jiachuan Cao, Benjamin Dörich, Buyang Li
    #math.NA #cs.NA
  21. Convergence of Finite Element Methods for Ricci Flow
    2026/07/19 by Guangwei Gao, Evan S. Gawlik, Buyang Li
    #math.NA #cs.NA
  22. Finite element exponential integration for rough solutions of nonlinear wave equations. Part I: Dirichlet boundary conditions on polygonal and polyhedral domains
    2026/07/17 by Jiachuan Cao, Benjamin Dörich, Marlis Hochbruck +1 · 1 citation
    #math.NA #cs.NA
  23. High-order finite element method for perfect conductivity and linear elasticity with nearly touching inclusions
    2026/07/24 by Buyang Li, Haigang Li, Yonglin Li +1
    #math.NA #cs.NA