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Li, Buyang

  1. Convergence of finite elements on an evolving surface driven by\n diffusion on the surface
    2016/07/25 by Balázs Kovács, Kovács, Balázs, Buyang Li +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. Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
    2012/08/23 by Li, Buyang, Sun, Weiwei · 3 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  3. A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density
    2020/07/27 by Li, Buyang, Qiu, Weifeng, Yang, ZongZe · 4 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  4. 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)
  5. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
    2018/05/17 by Kovács, Balázs, Li, Buyang, Lubich, Christian · 3 citations
    #35R01 #65M12 #65M15 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
  6. Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations
    2020/10/17 by Li, Buyang, Yang, Jiang, Zhou, Zhi · 3 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  7. 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 · 2 citations
    Engineering · Computer Science · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems
  8. Maximal \bf Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra
    2015/01/29 by Li, Buyang, Sun, Weiwei · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  9. Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra
    2017/02/19 by Li, Buyang · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  10. 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
  11. High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation
    2020/06/09 by Feng, Xiaobing, Li, Buyang, Ma, Shu · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  12. 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 · 2 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)
  13. A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
    2020/11/16 by Li, Buyang, Ma, Shu · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  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. A convergent evolving finite element algorithm for Willmore flow of closed surfaces
    2020/07/30 by Kovács, Balázs, Li, Buyang, Lubich, Christian · 2 citations
    #35R01 #65M12 #65M15 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
  16. 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 · 2 citations
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Numerical methods in engineering
  17. Unconditionally optimal error estimates of a Crank--Nicolson Galerkin method for the nonlinear thermistor equations
    2012/11/08 by Li, Buyang, Sun, Weiwei · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  18. A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations
    2014/10/14 by Li, Buyang, Zhang, Zhimin · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  19. Optimal analysis of finite element methods for the stochastic Stokes equations
    2022/06/28 by Li, Buyang, Ma, Shu, Sun, Weiwei · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  20. 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 · 1 citation
    Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering
  21. Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations
    2016/06/12 by Akrivis, Georgios, Li, Buyang, Lubich, Christian · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  22. Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint
    2017/07/27 by Jin, Bangti, Li, Buyang, Zhou, Zhi · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  23. A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation
    2021/01/11 by Li, Buyang, Wu, Yifei · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  24. Correction of high-order BDF convolution quadrature for fractional evolution equations
    2017/03/26 by Jin, Bangti, Li, Buyang, Zhou, Zhi · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  25. Optimal L2 error analysis of a loosely coupled finite element scheme for thin-structure interactions
    2023/06/08 by Li, Buyang, Sun, Weiwei, Xie, Yupei +1 · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  26. 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
  27. 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
  28. Optimal convergence of the arbitrary Lagrangian-Eulerian interface tracking method for two-phase Navier--Stokes flow without surface tension
    2025/01/13 by Li, Buyang, Ma, Shu, Qiu, Weifeng · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)