Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level m

Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2018, Vol 6, Issue 2

Abstract

This article deals with some properties -which are, to the best of our knowledge, new- of the generalized Euler polynomials of level $m$. These properties include a new recurrence relation satisfied by these polynomials and quadrature formulae of Euler-Maclaurin type based on them. Numerical examples are also given.

Authors and Affiliations

Yamilet Quintana, Alejandro Urieles

Keywords

Related Articles

Some Convergence Strategies for the Alternating Generalized Projection Method

In this paper we extend the application of the alternating projection algorithm to solve the problem of finding a point in the intersection of $n$ sets ($n\geq2$), which are not all of them convex sets. Here we term such...

Numerical solution for a family of delay functional differential equations using step by step Tau approximations

We use the segmented formulation of the Tau method to approximate the solutions of a family of linear and nonlinear neutral delay differential equations \begin{eqnarray} \nonumber a_1(t)y'(t) & = & y(t)[a_2(t)y(t-\ta...

Solving the KPI wave equation with a moving adaptive FEM grid

The Kadomtsev-Petviashvili I (KPI) equation is the difficult nonlinear wave equation $U_{xt} + 6U_x^2 + 6UU_{xx} + U_{xxxx} = 3U_{yy}.$ We solve this equation using PDE2D (www.pde2d.com) with initial conditions consisti...

The exponential distribution as the sum of discontinuous distributions

We show that for any natural number $n$, an exponential distribution can be written as the sum of $n$ discontinuous variables and another exponential distribution, all of them independent.

Total dominator chromatic number of some operations on a graph

Let <i>G</i> be a simple graph. A total dominator coloring of <i>G</i> is a proper coloring of the vertices of <i>G</i> in which each vertex of the graph is adjacent to every vertex of some color class. The total dominat...

Download PDF file
  • EP ID EP478777
  • DOI -
  • Views 70
  • Downloads 0

How To Cite

Yamilet Quintana, Alejandro Urieles (2018). Quadrature formulae of Euler-Maclaurin type based on generalized Euler polynomials of level m. Bulletin of Computational Applied Mathematics (Bull CompAMa), 6(2), 43-64. https://europub.co.uk/articles/-A-478777