نتایج جستجو برای: approximate quadratures

تعداد نتایج: 75584  

Journal: :Computer Physics Communications 2014
K. Pachucki M. Puchalski V. A. Yerokhin

The extended Gaussian quadrature rules are shown to be an efficient tool for numerical integration of wide class of functions with singularities of logarithmic type. The quadratures are exact for the functions pol1n−1(x) + lnx pol2n−1(x) , where pol1n−1(x) and pol2n−1(x) are two arbitrary polynomials of degree n−1 and n is the order of the quadrature formula. We present an implementation of num...

Journal: :journal of sciences islamic republic of iran 0

in this paper, we develop two piecewise polynomial methods for the numerical evaluation of cauchy principal value integrals of oscillatory kind. the two piecewisepolynomial quadratures are compact, easy to implement, and are numerically stable. two numerical examples are presented to illustrate the two rules developed, the convergence of the two schemes is proved and some error bounds obtained,

Journal: :Annales scientifiques de l'École normale supérieure 1885

پایان نامه :دانشگاه آزاد اسلامی - دانشگاه آزاد اسلامی واحد تهران مرکزی - دانشکده برق و الکترونیک 1390

there are many approaches for solving variety combinatorial optimization problems (np-compelete) that devided to exact solutions and approximate solutions. exact methods can only be used for very small size instances due to their expontional search space. for real-world problems, we have to employ approximate methods such as evolutionary algorithms (eas) that find a near-optimal solution in a r...

Journal: :Appl. Math. Lett. 2007
Gradimir V. Milovanovic Aleksandar S. Cvetkovic Marija P. Stanic

We consider a Gaussian type quadrature rule for some classes of integrands involving highly oscillatory functions of the form f (x) = f 1 (x) sin ζ x + f 2 (x) cos ζ x, where f 1 (x) and f 2 (x) are smooth, ζ ∈ R. We find weights σ ν and nodes x ν , ν = 1, 2,. .. , n, in a quadrature formula of the form 1 −1 f (x) dx ≈ n ν=1 σ ν f (x ν) such that it is exact for all polynomials f 1 (x) and f 2 ...

Journal: :Journal of Computational Physics 2023

Summation-by-parts (SBP) operators allow us to systematically develop energy-stable and high-order accurate numerical methods for time-dependent differential equations. Until recently, the main idea behind existing SBP was that polynomials can accurately approximate solution, should thus be exact them. However, do not provide best approximation some problems, with other spaces being more approp...

Journal: : 2022

The aim of the present paper is to find efficient method computation wave-making resistance a ship using mitchell’s integral. computational schemes described in publications suggest use simple quadratures (trapezoidal and Simpson’s rule) with fixed number integration’s intervals. This approach assumes manual setup algorithm for calculating each new makes it difficult estimate error obtained res...

Journal: :Transport Theory and Statistical Physics 2001

Journal: :Computers & Mathematics with Applications 2001

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