We extend the ETAQA approach, initially proposed for the efficient numerical solution of a class of quasi birth-death processes, to the more complex case of M/G/1-type Markov processes. The proposed technique can be used for the exact solution of a class of M/G/1-type models by computing the solution of a finite linear system. We further demonstrate the utility of the method by describing the e...

The most recent trend in the Information and Communication Technology (ICT) world is toward an ever growing demand of mobile heterogeneous services that imply the management of different Quality of Service (QoS) requirements and priorities among different type of users. The Long Term Evolution (LTE)/LTE-Advanced standards have been introduced aiming to cope with this challenge. In particular th...

Classical plasticity and damagemodels for porous quasi-brittle media usually suffer from mathematical defects such as non-convergence and nonuniqueness. Yield or damage functions for porous quasi-brittle media often have yield functions with contours so distorted that following those contours to the yield surface in a return algorithm can take the solution to a false elastic domain. A steepest-...

Recently, a novel type of multiscale simulation, called Relative Resolution (RelRes), was introduced. In single system, molecules switch their resolution in terms relative separation, with near neighbors interacting via fine-grained potentials yet far coarse-grained potentials; notably, these two are analytically parameterized by multipole approximation. This approach is consequently able to co...

We recently described a general solution to the phase-matching problem that arises when one wishes to perform an arbitrary number of nonlinear optical processes in a single medium [Phys. Rev. Lett. 95, 133901 (2005)]. Here we outline in detail the implementation of the solution for a one-dimensional photonic quasicrystal, which acts as a simultaneous frequency doubler for three independent opti...

We study multiple agents along a general river structure that is expressed by a geography matrix and who have access to limited local resources, quasi-linear preferences over water and money and cost functions dependent upon river inflow and own extraction. Unanimity bargaining determines the water allocation and monetary transfers. We translate International Water Law into either disagreement ...

In [J. Halton, Sequential Monte Carlo, Proc. Comb. Phil. Soc. 58 (1962), J. Halton, Sequential Monte Carlo Techniques for the Solution of Linear Systems, J. Sci. Comp. 9 (1994) 213-257] Halton introduced a strategy to be used in Monte Carlo algorithms for the efficient solution of certain matrix problems. We showed in [R. Kong, J. Spanier, Sequential correlated sampling methods for some transpo...