Physicists are exploring whether hidden dimensions and the shape of space could help explain why fundamental particles have ...

The Annals of Probability, Vol. 34, No. 2 (Mar., 2006), pp. 663-727 (65 pages) We develop a new method to uniquely solve a large class of heat equations, so-called Kolmogorov equations in infinitely ...

Digital infrastructure is rapidly evolving daily, the volume and complexity of operational data continue to surge and organizations face unprecedented challenges in managing their data. When a website ...

Physicists have long treated mass as a basic ingredient of nature, something particles simply possess, even as the Higgs ...

Mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modeling the behavior of gases.

SIAM Journal on Numerical Analysis, Vol. 41, No. 5 (2004), pp. 1682-1708 (27 pages) In this paper, we propose a nonoverlapping domain decomposition method for solving the three-dimensional Maxwell ...

String theory is a purported theory of everything that physicists hope will one day explain … everything. All the forces, all the particles, all the constants, all the things under a single ...