Optimized Schwarz methods are domain decomposition methods in which a largescale PDE problem is solved by subdividing it into smaller subdomain problems, solving the subproblems in parallel, and iterating until one obtains a global solution that is consistent across subdomain boundaries. Fast convergence can be obtained if Robin conditions are used along subdomain boundaries, provided that the ...

This paper derives a convergence equation for a world integrated by trade. Factor price equalization induced by trade reduces saving in capital-scarce economies, while it exercises the opposite effect in capital-abundant economies. Thus income convergence among parametrically identical economies is slower in a world integrated by trade than in a world of autarkic economies. Under standard param...

Error reduction, convergence and optimality are analyzed for adaptive mixed finite element methods (AMFEM) for diffusion equations without marking the oscillation of data. Firstly, the quasi-error, i.e. the sum of the stress variable error and the scaled error estimator, is shown to reduce with a fixed factor between two successive adaptive loops, up to an oscillation. Secondly, the convergence...

The fast fixed-point independent component analysis (ICA) algorithm has been widely used in various applications because of its fast convergence and superior performance. However, in a highly dynamic environment, real-time adaptation is necessary to track the variations of the mixing matrix. In this scenario, the gradient-based online learning algorithm performs better, but its convergence is s...

in this paper, we discuss the equivalent conditions of pretopological and topological $l$-fuzzy q-convergence structures and define $t_{0},~t_{1},~t_{2}$-separation axioms in $l$-fuzzy q-convergence space. {furthermore, $l$-ordered q-convergence structure is introduced and its relation with $l$-fuzzy q-convergence structure is studied in a categorical sense}.

Convergence hypothesis is one of the results of neoclassical growth model, which has been examined recently. This hypothesis has two forms of absolute and conditional Beta-convergence and implies that regions with lower per capita output have higher per capita growth rates. Since there is no data for regional GDP in Iran, there has been n study to test convergence hypothesis in Iran. Our main c...

abstract in this paper we test two versions of convergence hypothesis namely deterministic or conditional convergence and stochastic or catching up hypothesis using carrion-i-silvestre et al. (2005) stationary test. the results show latin and south american countries (lsa) catching up process toward the usa failed in 1980s and somewhat in 1990s. but in 2000s most of them could lie in convergenc...

The concept of ${mathscr{F}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${mathscr{F}}$. Its equivalence to the concept of ${mathscr{F}}$-convergence in uniform spaces is proved. This convergence generalizes many kinds of convergence, including the well-known statistical convergence.

The notion of convergence has gained a lot of interest in the past few years in both theory and practice. On one hand, observers see convergence as a meaningless technology fad. Other observers, on the other hand consider convergence to be an important factor for the design of new mobile information infrastructures and services. This paper investigates these contradictory discourses by applying...

The Border Gateway Protocol (BGP) is the routing protocol used to maintain connectivity between autonomous systems in the Internet. Empirical measurements have shown that there can be considerable delay in BGP convergence after routing changes. One contributing factor in this delay is a BGP-specific timer used to limit the rate at which routing messages are transmitted. We use the SSFNet simula...