Computational methods for nonlocal models

Develop efficient and parallel computational methods for class of nonlocal models such as Peridynamics and nonlocal diffusion equations

Analysis and application of peridynamics

Analysis and application of peridynamics

Modeling tumor growth, angiogenesis, drug-therapy, metastasis

Development and analysis of models of tumor growth, angiogenesis, drug therapy, and metastasis

Signal recovery from MRI

Development of models for improved signal recovery and image reconstruction, and developement and application of new methods for optimal data acquisition with uncertain model parameters

Study of granular media

Study properties of granular media using computational methods