Computational Energy Systems

The electrical power grid is a backbone of the US infrastructure: Every year, about $400 billion of electricity is being transmitted across the country. The operation underlying the electrical infrastructure has been, and remains, a success story for optimization...
Integral Equation Based Methods for Scientific Computing

Integral Equation Based Methods for Scientific Computing

In traditional numerical methods for partial differential equations (e.g. finite-difference, finite-element methods), the equation is discretized and the resulting sparse linear system is solved by multigrid or Krylov iteration. Spectral methods, another well known...