In this paper, the artificial boundary method for Poisson problem in an infinite domain with a concave angle is investigated. The exact and approximate elliptical arc artificial boundary conditions are given. The finite element approximation is formulated in a bounded domain using the approximate artificial boundary condition and error estimates are obtained. Finally, some numerical examples sh...

Domain of attraction of the normal law Brownian bridge a b s t r a c t domain of attraction of the normal law with mean zero and possibly infinite variance, Q (n) = R(n)/S(n) be the rescaled range statistic, where R(n)

We study the constraint satisfaction problem (CSP) parameterized by a language Γ (CSPΓ) and how choice of affects its worst-case time complexity. Under exponential-time hypothesis (ETH), we rule out existence subexponential algorithms for finite-domain NP-complete CSPΓ problems. This extends to certain infinite-domain CSPs structurally restricted For with finite domain D where all unary relatio...

Uncertain delay differential equation (UDDE) is a type of differential equations driven by Liu process. It has been proved that uncertain delay differential equation has a unique solution in the finite domain, under the conditions that the coefficients are global Lipschitz continuous. This paper will extend this existence and uniqueness theorem from finite domain to infinite domain under the lo...

A unified quadratic semi-infinite programming approach is introduced to solve digital filter design problems with time or frequency-domain specification. An algorithm based on this approach is developed and the corresponding convergence result is presented. This computational method is then applied to the optimum filter design problems subject to time and frequency domain specifications, namely...

While the classical account of the linear continuum takes it to be a totality of points, which are its ultimate parts, Aristotle conceives of it as continuous and infinitely divisible, without ultimate parts. A formal account of this conception can be given employing a theory of quantification for nonatomic domains and a theory of region-based topology.

In this comment, I extend Cavalcanti and Nosal’s (2010) framework to include the case of perfectly divisible money and unrestricted money holdings. I show that when trade takes place in Walrasian markets, counterfeits circulate and the Friedman rule is still optimal.

We consider the application of a perfectly matched layer (PML) technique applied in Cartesian geometry to approximate solutions of the acoustic scattering problem in the frequency domain. The PML is viewed as a complex coordinate shift (“stretching”) and leads to a variable complex coefficient equation for the acoustic wave posed on an infinite domain, the complement of the bounded scatterer. T...

Infinite-dimensional optimization (InfiniteOpt) problems involve modeling components (variables, objectives, and constraints) that are functions defined over infinite-dimensional domains. Examples include continuous-time dynamic (time is an infinite domain a function of time), PDE (space time domains space-time), as well stochastic semi-infinite (random space such random space). InfiniteOpt als...

This paper presents the LPMLEn, a new method to estimate vertical flux and thermal diffusivity from streambed temperature time series using frequency domain. The main advantages of this are: (a) use multiple frequencies sensors for parameter estimation; (b) noise/uncertainty handling in an optimal way; (c) possibility parameters with both semi-infinite bounded domain models; (d) compensation dr...