Algorithms for many hypergraph problems, including partitioning, utilize multilevel frameworks to achieve a good trade-off between the performance and the quality of results. In this paper we introduce two novel aggregative coarsening schemes and incorporate them within state-of-the-art hypergraph partitioner Zoltan. Our coarsening schemes are inspired by the algebraic multigrid and stable matc...

The concept of a plane scatterer that was developed earlier for scalar waves is generalized so that polarization of light is included. Starting from a Lippmann-Schwinger formalism for vector waves, we show that the Green function has to be regularized before T matrices can be defined in a consistent way. After the regularization, optical modes and Green functions are determined exactly for fini...

Considerable progress has been made on the development of a variety of analytical methods to aid in the carcinogenic risk associated with exposure to both occupational and environmental agents. Although the development of these methods has been accompanied by consideration of many statistical issues, there are many areas where additional effort could be directed if these analytical methods are ...

In previous work we reported investigations on the acceleration of shock waves by energy deposition and a heavy-ion scenario for an experimental investigation of this effect. This has recently been complemented by additional analytic results. A heavy ion beam gives the unique opportunity to create a scenario in which a running shock wave experiences almost homogeneous energy deposition in both ...

in this study, he’s variational approach (va) is used to solve the non-naturalvibrations and oscillations. the method works very well for the whole range of initial amplitudesand does not demand small perturbation. it is also sufficiently accurate to both linear and nonlinearphysics and engineering problems. we consider some examples to illustrate the effectiveness andconvenience of the method....