Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including...

There has been an increased interest in optimization for the analysis of large-scale data sets which require gigabytes or terabytes of data to be stored. A variety of applications originate from the fields of signal processing, machine learning and statistics. Seven representative applications are described below. Magnetic Resonance Imaging (MRI): A medical imaging tool used to scan the anatomy...

A higher-order mimetic method for the solution of partial differential equations on unstructured meshes is developed and demonstrated on the problem of conductive heat transfer. Mimetic discretization methods create discrete versions of the partial differential operators (such and the gradient and divergence) that are exact in some sense and therefore mimic the important mathematical properties...