Professor, Department of Mathematical Sciences
Affiliated faculty member, Department of Biomedical Engineering
508 Ewing Hall
University of Delaware
Newark, DE 19716, USA
Email: mou@udel.edu

Research Interests:

• Direct/Inverse scattering in composite materials, esp. poroelastic materials
• Partial differential- and integral equations
• Homogenization theory and its applications in material sciences
• Application of Herglotz-Nevanlinna functions in developing efficient solvers for physical systems with memory terms.
• Exponential analysis

Current Research Projects:

• Efficient Quadrature for fractional time-derivatives with the best choice of interpolation points (graduate student projects available)
• RKHS framework for solving integral equations of first kind
• Spectral analysis of poroelastic wave equations with memory terms (graduate student projects available)
• Spectral analysis of dispersive Maxwell’s equations with Cole-Cole polarization model (graduate student projects available)
• Sparse representation of kernels
• Adaptive Localized Regularization for solving NMR imaging problems (graduate student projects available)
• Homogenization for diffusion in porous media with the tool of random walks (graduate student project available)

I am currently part of the 2020 EU RISE Grant: Project EXPOWER, funded by EU Research and Innovation Staff Exchange (RISE) funding in mathematics under H2020 Marie Skłodowska-Curie Actions. Duration: 2021-2025

Current teaching:

• Math508: Introduction to Complex Variables and Applications

Click the link for my PUBLICATION List