Welcome to my website! My current research focuses on numerical partial differential equations with applications to blood flow modeling and clinical decision support. I have also done some work in numerical linear algebra with application to spectral theory of quasicrystal models. This summer I will begin as a postdoc at UNC Chapel Hill working with Boyce Griffith.
My full cv may be accessed here.
Click here to view my brother's page. He is a PhD student in statistics and finance at the University of Texas in Austin.
- Ph.D. in Computational and Applied Mathematics, Rice University, May 2017.
Advisors: Beatrice Riviere and Craig Rusin (Baylor College of Medicine)
- M.A. in Computational and Applied Mathematics, Rice University, May 2013
Thesis title: "Improved Spectral Calculations for Discrete Schroedinger Operators"
Advisor: Mark Embree (now at Virginia Tech)
- B.A. in Mathematics and B.A. in Physics, Wesleyan University, May 2011
Phi Beta Kappa, Connecticut Gamma Chapter and Honors in Mathematics
- Numerical methods for partial differential equations
- Cardiovascular mathematics
- Operator theory: Schroedinger operators
- Largescale eigenvalue/vector algorithms
|Papers and Technical Reports|
- "A computational study of the Fontan circulation with fenestration or hepatic vein exclusion."
C. Puelz, S. Acosta, B. Riviere, D. Penny, K. Brady, and C.G. Rusin. working paper.
- "Cardiovascular mechanics in the early stages of pulmonary hypertension: a computational study."
S. Acosta, C. Puelz, B. Riviere, D. Penny, K. Brady, and C.G. Rusin. submitted 2017.
- "A priori error estimates of Adams-Bashforth discontinuous Galerkin methods for scalar nonlinear conservation laws." link to arXiv:1701.08196 [math.NA]
C. Puelz and B. Riviere. Journal of Numerical Mathematics. accepted 2017.
- "Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations."
N. Chabaane, V. Girault, C. Puelz, and B. Riviere. Journal of Computational and Applied Mathematics. accepted 2017.
link to journal