Abstract: In this paper, we study the numerical simulation of stochastic differential equations (SDEs) on the special orthogonal Lie group . We propose a geometry-preserving numerical scheme based on ...

Abstract: Stochastic differential equations (SDEs) evolving in Stiefel manifold have numerous applications in Science and Engineering. While numerical schemes for ordinary differential equations (ODEs ...

TUSCALOOSA, Ala. -- No. 14 Alabama football returned to the practice field on Thursday after soaking up three days off to relax and reset during the Crimson Tide's first bye week of the season. The ...

The “Vend of the Line” side quest in Borderlands 4 takes you on a treasure hunt to find the Legendary Vending Machine, which only has legendary guns and gear to sell. Before you can get your hands on ...

The Texas Hill Country is known for its scenic beauty, unique geological features and being home to a crucial water source for aquifers. Yet, for many residents, that sense of pride has recently been ...

The vending machines are alive and well in Borderlands 4. Vend of the Line is a side quest you can take on once you reach the Carcadia region of the map in Borderlands 4. This side quest involves ...