Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special cases include Ramanujan’s formula for the values of the Riemann zeta function at the odd positive integers exceeding two, and related formulas for values of Dirichlet L-series and the Lerch zeta function.

...................... ..................................................................................... ii List of Publications .............................................................................................. iv List of Figures................ ................................................................................... v List of Tables............ ........................

the harmony search algorithm is applied to optimum designs of a functionally graded (fg)-carbon naotubes (cnts)-reinforced pipes conveying fluid subjected to moving load. the structure is modeled by reddy cylindrical shell theory and the motion equations are derived by hamilton's principal. based on differential quadrature method (dqm), the dynamic displacement of system is derived. the le...

The main objective of this study is to present new method on the basis of genetic algorithms for attenuation relationship determination of horizontal peak ground acceleration and spectral acceleration. The proposed method employs the optimization capabilities of genetic algorithm to determine the coefficients of attenuation relationships of peak ground and spectral accelerations. This method ha...

The aim of this paper is to improve the convergence rate of frame algorithm based on Richardson iteration and Chebyshev methods. Based on Richardson iteration method, we first square the existing convergence rate of frame algorithm which in turn the number of iterations would be bisected and increased speed of convergence is achieved. Afterward, by using Chebyshev polynomials, we improve this s...

Railways as a dimension of transportation infrastructure has been widely welcomed in developed and developing industrial countries because of the ability to carry heavy loads over long distances, more safety, less depreciation, less cost, less pollution, etc. Therefore, knowledge of the dynamic behavior of the railway is essential for designers and builders. It is very important to study the vi...

A new simple convergence acceleration method is proposed for a certain wide range class of convergent alternating series. The method has some common features with Smith’s and Ford’s modification of Levin’s and Weniger’s sequence transformations, but it leads to less computational and memory cost. The similarities and differences between all three methods are analyzed and some common theoretical...

1 SUMMARY In this project, we add a limited subset of staged functions to the Spatial hardware accelerator design language. This support includes implementation of language support for staged functions, analyses for optimizing performance and area, and generating synthesizable implementations of these staged functions. We evaluate these additions by comparing the runtime and area of a set of be...