A comparative study of Gauss--Laguerre quadrature and an open type mixed quadrature by evaluating some improper integrals
| Autor: | Pritikanta Patra, Debasish Das, Rajani Ballav Dash |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Adaptive integration
symbols.namesake Anti-Gaussian quadrature rule mixed quadrature rule adaptive integration scheme improper integrals Steffensen's quadrature Gauss‒Laguerre quadrature General Mathematics Improper integral Gauss–Laguerre quadrature symbols Applied mathematics Gaussian quadrature Open type Quadrature (mathematics) Mathematics |
| Zdroj: | Volume: 42, Issue: 1 293-306 Turkish Journal of Mathematics |
| ISSN: | 1303-6149 1300-0098 |
| DOI: | 10.3906/mat-1610-57 |
| Popis: | An open type mixed quadrature rule is constructed blending the anti-Gauss 3-point rule with Steffensen's 4-point rule. The analytical convergence of the mixed rule is studied. An adaptive integration scheme is designed based on the mixed quadrature rule. A comparative study of the mixed quadrature rule and the Gauss‒Laguerre quadrature rule is given by evaluating several improper integrals of the form $\int\limits_{0}^{\infty}e^{-x}f(x)dx$. The advantage of implementing mixed quadrature rule in developing an efficient adaptive integration scheme is shown by evaluating some improper integrals. |
| Databáze: | OpenAIRE |
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