Applied non-linear analysis, novel numerical methods and state of the arts applications. The Applied Mathematics Group (AMG) is an interdisciplinary research effort involving Mathematics, Statistics, Physics, and Computer Science. The group focuses on modeling of non-linear, coupled systems arising in the physical and biological sciences, engineering, medicine, and the social sciences. Model formulation, interpretation, approximation, and assessment are addressed, as well as issues such as mathematical well-posedness of models, multiple dimensional spatial and temporal scales in diverse geometrical configurations, direct and inverse problems, and accurate and efficient approximation algorithms. Classical and statistical analysis, data science including machine and deep learning methods, and numerical simulations by means of high-performance computing are used. This group interfaces with the activities of the Center of Numerical Analysis.
Faculty and Research Staff
Members outside the Oden Institute