The M-ellipsoid of a convex body K is a fundamental object introduced by V. Milman. It has the same volume as K and can cover K with the union a small number of translations. There are several proofs of the existence of an M-ellipsoid. We present algorithms for constructing M-ellipsoids based on two of these proofs. The first is randomized and i...
Creator:
Vempala, Santosh (Georgia Institute of Technology)
Created:
2011-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Hydraulic fracture modeling relies on a non-linear, non-local moving boundary problem with multiple nested length scales possesses a harsh numerical stability criterion for explicit time-stepping methods and a demonstrable tendency for algorithmic details to have a first order impact on predictions. Bringing together predictions from a variety o...
Creator:
Bunger, Andrew (University of Pittsburgh)
Created:
2015-05-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.