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(55 articles) computational mathematics Articles on similar topics can be found in the following collections Email alerting service here the box at the top right-hand corner of the article or click Receive free email alerts when new articles cite this article-sign up in A trapezoidal rule error bound unifying the Euler–Maclaurin formula and geometric(More)
In this paper, we propose a lexical routing metric to enable path-wise link quality-aware routing in Wireless Sensor Networks (WSNs). The realization of this routing metric is achieved by applying the indexing techniques of formal language processing in multi-metric route classification and cost evaluation for WSNs. In particular, the metric is motivated(More)
Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution of linear and nonlinear periodic ordinary differential equations. Differences from the nonperiodic Chebyshev case are highlighted. 1. Introduction. It is well known(More)
Let a sufficiently smooth function f on [−1, 1] be sampled at n + 1 equi-spaced points, and let k ≥ 0 be given. An Euler–Maclaurin interpolant to the data is defined, consisting of a sum of a degree k algebraic polynomial and a degree n trigonometric polynomial, which deviates from f by O(n −k) and whose integral is equal to the order k Euler–Maclaurin(More)
In this paper, we propose a communication architecture for mobile agents in Wireless Sensor Networks (WSNs) for fault tolerence, which is inspired by honeybee dance language. The architecture incorporates influences from the classification of errors and their demographics. Performance results show that only need-driven minimalist communication takes place,(More)
Location is a kind of contextual information that is often realized through localization technologies in strict sense. The technologies such as WSNs provide geographical location as in Cartesian coordinates or in referenced landmarks, rendering a rigid and unilateral interface to multiple applications. A myriad of applications using localization(More)
Wireless Sensor Networks (WSNs) are prone to failures as they are usually deployed in remote and unattended environments. To mitigate the effect of these failures, fault tolerance becomes imperative. Nonetheless, it remains to be a second tier activity—it should not undermine the execution of the mission oriented tasks of WSNs through overly taxing(More)
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