Registered Data

Contents

[CT013]

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : In this paper, we are concerned with the problem of locating the zeros of lacunary polynomials of a quaternionic $q=a+bi+cj+dk$ variable with restricted real and quaternionic coefficients. We derive bounds of Enestrom-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem. Our results generalize some recently proved results about the distribution of zeros of a quaternionic polynomial.
Classification : 30E10, 30G35, 16K20
Author(s) :
- Dinesh Tripathi (Department of Science, Manav Rachna University, Faridabad)
- Dinesh Tripathi (Manav Rachna University)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : Going beyond the scope of solely mechanical considerations, fracture mechanics of smart dielectrics is additionally concerned with the implications of electric fields on crack tip loading. In this work, the oftentimes neglected electric body and surface forces as well as body couples stemming from the Maxwell stress tensor are studied in the context of a crack in an infinite electrostrictive dielectric by exploiting holomorphic potentials and Cauchy's integral formulae within the framework of complex analysis.
Classification : 30E20, 30E25, 74A35, 74R10, 78A30
Author(s) :
- Lennart Behlen (University of Kassel)
- Daniel Wallenta (University of Kassel)
- Andreas Ricoeur (University of Kassel)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : The boundary domain integral equation method is an important tool to formulate (in terms of integral operators) boundary value problems with variable coefficients. Although the theory of boundary domain integral equations has been largely developed, there is a lack of results in numerical implementations. The aim of this talk is to enumerate the different boundary domain formulations for several boundary conditions and present discretizations of the integral equation systems and comparisons between the numerical behavior of the approximated solutions.
Classification : 31B10, 65Rxx, boundary domain integral methods
Author(s) :
- Nahuel Domingo Caruso (National University of Rosario - CIFASIS-CONICET)
- Carlos Fresneda-Portillo (Universidad Loyola Andalucía (Spain))

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : Nonlinear systems with singular solutions, such as vortices and vortex sequences, can be mathematically described using the distribution function (δ function). However, it is difficult to numerically analyze the singular solution. In this study, we have considered approaches to discretize the distribution function and discussed the usefulness of introducing it into numerical analysis. Furthermore, we have carried out some examples of applications to discrete distribution functions and Sato’s hyperfunction.　
Classification : 32A45, 46F15, 46F30, 46T30, 65E05
Author(s) :
- Yuya Taki (Graduate School of Science and Engineering, SOKA University)
- Yoshio Ishii (Faculty of Science and Engineering, SOKA University)

Session Date & Time : 1E (Aug.21, 17:40-19:20)
Type : Contributed Talk
Abstract : Mittag-Leffler functions are indispensable in the theory of fractional calculus and many other applications in engineering. However, their computational complexities have made them difficult to deal with numerically. A real distinct pole rational approximation of the two-parameter Mittag-Leffler function is proposed. Under some mild conditions, this approximation is proven and empirically shown to be L-Acceptable. These approximations are especially useful in developing efficient and accurate numerical schemes for partial differential equations of fractional order. Some applications are presented, such as complementary error function and solution of fractional differential equations.
Classification : 33B10, 41A20, 65L05
Author(s) :
- Olaniyi Samuel Iyiola (Clarkson University)