Effective-Quadratures (EQ): Polynomials for Computational Engineering Studies
نویسندگان
چکیده
منابع مشابه
Numerical quadratures and orthogonal polynomials
Orthogonal polynomials of different kinds as the basic tools play very important role in construction and analysis of quadrature formulas of maximal and nearly maximal algebraic degree of exactness. In this survey paper we give an account on some important connections between orthogonal polynomials and Gaussian quadratures, as well as several types of generalized orthogonal polynomials and corr...
متن کاملOrthogonal polynomials, Gaussian quadratures, and PDEs
them particularly important in solvinG physical problems. Also, Gaussian integration provides a highly accurate and efficient algorithm for integrating functions. The value of the methods I describe in this installment of “Computing Prescriptions” depends on the basic assumption that a finite-order polynomial can effectively approximate a function. Therefore, a finite sum of orthogonal polynomi...
متن کاملOrthogonal polynomials for modified Gegenbauer weight and corresponding quadratures
In this paper we consider polynomials orthogonal with respect to the linear functional L : P → C, defined by L[p] = ∫ 1 −1 p(x)(1 − x 2)λ−1/2 exp(iζ x) dx, where P is a linear space of all algebraic polynomials, λ > −1/2 and ζ ∈ R. We prove the existence of such polynomials for some pairs of λ and ζ , give some their properties, and finally give an application to numerical integration of highly...
متن کاملSoftware Engineering for Computational Science and Engineering
S oftware engineering for computational science and engineering (CSE) is a topic of increasing relevance for many scientific and engineering domains. Historically, this topic has fallen into a void among many related domains. Traditionally, software engineering (SE) research has focused more on the business/IT domain than the scientific or engineering domain. SE researchers have often made the ...
متن کاملComplex polynomials in engineering
Techniques for the evaluation of complex polynomials with one and two variables are introduced. Polynomials arise in may areas such as control systems, image and signal processing, coding theory, electrical networks, etc., and their evaluations are time consuming. This paper introduces new evaluation algorithms that are straightforward with fewer arithmetic operations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Open Source Software
سال: 2017
ISSN: 2475-9066
DOI: 10.21105/joss.00166