About me

I am an associate professor in the Mathematics and Statistics Department at the University of New Mexico. My research interests are in the design and analysis of numerical methods for partial differential equations. In particular my research involves

• Uncertainty quantification
• Adjoint based error estimation
• Parallel-in-time integration
• Implicit-Explicit (IMEX) time integration
• Least-squares finite element methods
• Adaptive discretizations
• Poisson-Boltzmann and Poisson-Nernst-Planck equations

Research Group

Graduate Students:

• Zachary Stevens. PhD: Research area: Error Estimation
• Trevor Giannini. PHD: Research area: Shallow Water Equations
• Ari Rappaport. Masters: A posteriori analysis of Magnetohydrodynamics. (Now pursuing PhD at Inria)
• Nicholas Abel. Masters: Parallel-in-time methods.

Undergraduate Students (Past and Current):

• Christopher Leap. Deep learning for predicting Conjugate Gradient iterations for Uncertainty Quantification. Jupyter Notebook on Github
• Ari Rappaport. Exploration of Black Box Multigrid for Linear Systems Modeling Resistive MHD, Honors Thesis, (2018)

Jupyter Notebooks

• A posteriori error analysis of Schwarz Domain Decomposition Methods Jupyter Notebooks on Github
• A posteriori error analysis for a non-standard Quantity-of-Interest: First time to a threshold event Jupyter Notebooks on Github
• Monte-Carlo simulations Jupyter Notebooks on Github
• Deep learning for predicting Conjugate Gradient iterations for Uncertainty Quantification. Github link

Jehanzeb H. Chaudhry