Yongtao
Zhang
Assistant Professor
Department of Mathematics
University of Notre Dame
How to contact me:
Email: yzhang10 AT nd
DOT edu
Office phone: (574) 631-6079
Office location: 242
Hayes-Healy
Education
- Ph.D. in Applied Mathematics, specialized in Scientific Computing, Division of Applied Mathematics, Brown University, Sep. 1999 -- May 2003. Advisor: Professor Chi-Wang Shu
- M.Sc. in Computational Mathematics, School of Mathematical Science, Nankai University, P.R.China, Sep. 1996 -- June 1999. Advisor: Professor Che Sun.
- B.Sc. in Computational Mathematics, School of
Mathematical Science,
Academic Experience
- July 2006 – Present, Assistant Professor, Department of Mathematics, University of Notre Dame.
- July 2003 – June 2006, Assistant Adjunct Professor, Department of Mathematics, University of California, Irvine. Sponsors: Professor Qing Nie and Professor Frederic Yui-Ming Wan.
Teaching
at
Notre Dame
Math 10260,
Calculus II for Business
Math 10350, Calculus A
Math 20580, Introduction to Linear
Algebra and Differential Equations
Math 60650, Partial
Differential Equations
Math
60690, Numerical Analysis I
Math
60790, Numerical Analysis II (Numerical PDEs)
Current Research Interests
- High Order Numerical Methods for PDEs on Structured and Unstructured Meshes:
- Weighted ENO
Finite Volume / Finite Difference Methods
- Discontinuous
Galerkin (DG) Finite Element Methods
- Fast Sweeping
Methods
- Implicit
Integrating Factor and ETD schemes
- Computational Biology
- Computational Analysis of Morphogen
Gradient Formation in Developmental Biology
- Computational Fluid
Dynamics
- MHD flow
- Interaction of shock waves with Rayleigh-Taylor flow
- Interaction of shock waves with vortices