We study in this paper the exponential time differencing (ETD) schemes and their modifications via complex contour integrations for the numerical solutions of parabolic type equations. We illustrate that the contour integration shares an added advantage of improving the stability of the time integration. In addition, we demonstrate the effectiveness of the ETD type schemes through the numerical...

Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an existing method shows that it can be considered as a classical method for an equivalent problem. This not only leads to other third-order methods, it also provides the means for a unifying convergence analysis of these ...

In this paper, we propose new variants of Newton’s method based on quadrature formula and power mean for solving nonlinear unconstrained optimization problems. It is proved that the order of convergence of the proposed family is three. Numerical comparisons are made to show the performance of the presented methods. Furthermore, numerical experiments demonstrate that the logarithmic mean Newton’...

We provide an eeective and eecient implementation of a sequential quadratic programming (SQP) algorithm for the general large scale nonlinear programming problem. In this algorithm the quadratic programming subproblems are solved by an interior point method that can be prematurely halted by a trust region constraint. Numerous computational enhancements to improve the numerical performance are p...

An experimental study of perceptions about gay, lesbian, and heterosexual domestic violence in Sweden. Undergraduate students (N = 1009) read one of eight fictitious scenarios of domestic violence in married couple relationships, where sexual orientation, sex of victim and batterer, and severity of violence were varied. Perceptions of seriousness of the described incident and attitudes toward w...

In this paper we study the problem of data exchange and query answering in the presence of arithmetic comparisons (ACs). The contributions of this work are the following: a) we extend the work in [FKMP03] by assuming source-to-target constraints, target constraints and queries to include ACs, b) we give an algebraic specification to compute a universal solution using a variant of the chase proc...

This paper presents a numerical investigation of the laminar mixed convection flow of a radiating gas in an inclined lid-driven cavity. The fluid is treated as a gray, absorbing, emitting, and scattering medium. The governing differential equations including continuity, momentum and energy are solved numerically by the computational fluid dynamics techniques (CFD) to obtain the velocity and tem...

in this paper, a multi-period and multi-resource operating room (or) scheduling and rescheduling problem with elective and semi-elective (semi-urgent) patients is addressed. a scheduling-rescheduling framework based on the so-called rolling horizon approach is proposed to solve the problem. the core of the proposed framework is a novel proposed mixed-integer linear programming (milp) model with...

an analytical solution is presented for displacements and stresses of a three dimensional linear hyperelastic transversely isotropic layer bonded on the top of a transversely isotropic half-space subjected to an arbitrary, time-harmonic surface tangential force. the equations of equilibrium in terms of displacements are uncoupled by using a set of two potential functions introduced by eskandari...

the engineers can frequently encounter with the situation to select the optimum option among the alternatives related with tunneling operations. the optimum choice can be selected by the experienced engineers taking into consideration their judgment and intuition. however, decision-making methods can offer to the engineers to support their optimum selection for a particular application in a sci...