On efficient evaluation of integrals entering boundary equations of 3D potential and elasticity theory
Journal Title: Journal of Mathematics and Applications - Year 2014, Vol 37, Issue
Abstract
The paper presents recurrent formulae for efficient evaluation of all the integrals needed for solving static 3D potential and elasticity problems by the boundary elements method. The power-type asymptoties for the density at edges of the boundary are accounted for explicitly.
Authors and Affiliations
Liliana Rybarska-Rusinek, Dawid Jaworski, Aleksandr Linkov
Majorization problems for classes of analytic functions
The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. Th...
Oscillation of Second Order Difference Equation with a Sub-linear Neutral Term
This paper deals with the oscillation of a certain class of second order difference equations with a sub-linear neutral term. Using some inequalities and Riccati type transformation, four new oscillation criteria are obt...
Some results on 2-absorbing ideals in commutative semirings
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of r...
On the Evolution of Academic Staff Structure in a University Setting
This paper models the academic staff structure in a university as a system of stocks and flows in a three-dimensional space, ℝ3. The stocks are the number of academic staff in a particular state at a given time and the f...
Location of Zeros of Lacunary-type Polynomials
In this paper, we present some interesting results concerning the location of zeros of Lacunary-type of polynomial in the complex plane. By relaxing the hypothesis and putting less restrictive conditions on the coefficie...