The convergence of an alternating direction implicit method for Maxwell’s equations on product domains is investigated. Unlike the classical Yee scheme and most other integrators proposed in the literature, this method is both unconditionally stable and computationally cheap. We prove second-order convergence of the time-discretization in the framework of operator semigroup theory. In contrast ...

We analyze the interaction of explicit and implicit contracts in a model with selfish and fair principals. Fair principals are willing to honor implicit agreements, whereas selfish principals are not. Principals are privately informed about their types. We investigate a separating equilibrium in which principals reveal their type through the contract offer to the agent. If this equilibrium is p...

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Today, better numerical approximations are required for multidimensional SDEs to improve on the poor performance of the standard Monte Carlo integration. Usually in finance, it is the weak convergence property of numerical discretizations, which is most important, because with financial applications, one is mostly concerned with the accurate estimation of expected payoffs. However, recent studi...

The notion of semi-BCI algebras is introduced and some of its properties are investigated. This algebra is another generalization for BCI-algebras. It arises from the “intervalization” of BCI algebras. Semi-BCI have a similar structure to Pseudo-BCI algebras however they are not the same. In this paper we also provide an investigation on the similarity between these classes of algebras by showi...

We introduce and study some operational quantities associated to a space ideal A. These quantities are used to define generalized semi-Fredholm operators associated to A, and the corresponding perturbation classes which extend the strictly singular and strictly cosingular operators, and we study the generalized Fredholm theory obtained in this way. Finally we present some examples and show that...

There has been significant interest in the role that carbonaceous aerosols play as radiatively important species in climate and visibility reduction, as potential toxic agents to human health in urban regions, and as surfaces that can catalyze atmospheric chemical reactions. These aerosols are a mixture of primary organic matter that is emitted from a number of sources, including mobile sources...