Lu Zhang

Ju Tang Chu and Wu Ping Chu Assistant Professor of Applied Mathematics

200 S.W. Mudd, MC 4701
New York, NY 10027

Tel(212) 854-2696
Fax(212) 854-8257

Research Interests

Numerical Analysis, Applied Mathematics, Partial Differential Equations, Data Science

Lu Zhang’s research interests are in the area of numerical and theoretic analysis of Partial Differential Equations (PDEs) and applied mathematics in general. In particular, she focuses on developing high order discontinuous Galerkin methods in studying various PDEs with physical and biological backgrounds, such as advective wave equations, semi-linear wave equations, chemotaxis models, population dynamics models, etc. PDEs serve as the basic languages that describe the spatial-temporal dynamics of the phenomena within the physical and biological sciences. The challenges brought by the structural complexity and computational intensity within these dynamics call for the applications and development of high-order, computationally efficient and energy stable numerical methods. Theoretical analysis of these systems also yields insights into and contributes to the understanding of the continuum systems. Zhang obtained a Master’s in Computational and Applied Mathematics in 2017 and a PhD in Computational and Applied Mathematics in 2020 from Southern Methodist University.

PROFESSIONAL EXPERIENCE

Ju Tang Chu and Wu Ping Chu Assistant professor of Applied Mathematics, Columbia University, 2020-

HONORS & AWARDS

Dean’s Dissertation Fellowship, SMU, 2019–2020

Betty McKnight Speairs Math Award, Department of Mathematics, SMU, May. 2019

Betty McKnight Speairs Math Award, Department of Mathematics, SMU, May. 2017

SELECTED PUBLICATIONS

  1. An energy-based discontinuous Galerkin method for semilinear wave equations, J. Comput. Phys. (2020), joint with D. Appelö, T. Hagstrom, Q. Wang
     
  2. Phase transitions and bump solutions of Keller-Segel model with volume exclusion, SIAM J. Appl. Math. (2020), joint with J. A. Carrillo, X. Chen, Q. Wang, Z. Wang
     
  3. An energy-based discontinuous Galerkin method for the wave equation with advection, SIAM J. Numer. Anal. (2019), joint with with D. Appelö, T. Hagstrom
     
  4. Convergence analysis of a discontinuous Galerkin method for wave equations in second-order form, SIAM J. Numer. Anal. (2019), joint with Y. Du, Z. Zhang