Numerical Analysis
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Recent papers in Numerical Analysis
Over the last few years, IEEE 802.16 has been established as one of the most promising solutions for broadband wireless metropolitan area networks. In 2007, the standard was included as one of the radio access technologies for IMT-2000.... more
7th International Conference on Artificial Intelligence and Applications (AI 2021) will provide an excellent international forum for sharing knowledge and results in theory, methodology and applications of Artificial Intelligence and its... more
Una importante razón motivó la elaboración de este trabajo. En la literatura especializada de habla española no existe un texto que realice una introducción al Cálculo Numérico de una forma sencilla, resumida y completa, simultáneamente... more
The International Journal of Artificial Intelligence & Applications (IJAIA) is a bi monthly open access peer-reviewed journal that publishes articles which contribute new results in all areas of the Artificial Intelligence & Applications... more
In this study a theoretical formulation for Poisson's ratio effects on tensile and compressive shaft capacity of driven piles in sand is developed. The theoretical formulation, which accounts for the existence of post-driving residual... more
A new deterministic numerical formulation named DisPar-k based on particle displacement probability distribution for Markov processes was developed to solve advection-diffusion problems in a one-dimensional discrete spatial grid. DisPar-k... more
In this research paper, we investigate some novel soliton solutions to the perturbed Fokas-Lenells equation by using the 1 ' m G ⎛ ⎞ + ⎜ ⎟ ⎝ ⎠-expansion method. Some new solutions are obtained and they are plotted in two and three... more
REPORT DOCUMENTATION PAGE OMS No. 0704-0188 la REPORT SECURITY CLASSIFICATION lb RESTRICTIVE MARKINGS Recent developments in accelerator technology and the optical guiding property of the free electron laser (FEL) radiation indicate that... more
The implementation of global optimization algorithms, using the arithmetic of infinity, is considered. A relatively simple version of implementation is proposed for the algorithms that possess the introduced property of strong... more
We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate... more
Schwarz waveform relaxation (SWR) algorithm has been investigated deeply and widely for regular time dependent problems. But for time delay problems, complete analysis of the algorithm is rare. In this paper, by using the reaction... more
Conventional methods for road and airport pavement analyses, such as BISAR and GAMES, were developed based on a cylindrical coordinate system. Because of the loading symmetry due to the assumption that a circular uniformly distributed... more
The process of indentation of brittle and quasi-brittle materials has been investigated both from the experimental and the theoretical point of view. As far as we know, only a few studies have tried to explain the mechanics of cutting due... more
A thermodynamic equilibrium analysis on the multi-reaction system for carbon dioxide reforming of methane in view of carbon formation was performed with Aspen plus based on direct minimization of Gibbs free energy method. The effects of... more
Scaling Effects in Direct Shear Tests. [AIP Conference Proceedings 1145, 413 (2009)]. Andrés D. Orlando, Daniel M. Hanes, Hayley H. Shen. Abstract. Laboratory experiments of the direct shear test were performed on spherical particles of... more
An approach is treated for numerical integration of ordinary differential equations systems of the first order with choice of a computation scheme, ensuring the required local precision. The treatment is made on the basis of schemes of... more
We formulate new optimal (fourth) order one step nodal cubic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the respective collocation... more
Recently, a class of Boundary Value Methods (BVMs) has been introduced for the estimation of the eigenvalues of Sturm-Liouville problems with Dirichlet boundary conditions. The aim of this paper is to extend the application of such BVMs... more
— A theoretical model of multi-phase microchannel bioreactor is presented. Further, the effect of oxygen diffusion on the concentration profile and effectiveness response was examined. Analytical expression pertaining to the oxygen... more
The stability and instability of TE-polarized nonlinear waves guided by a thin dielectric film bounded on one side by a selffocusing saturable nonlinear cladding is investigated numerically.
In this paper, we present a symbolic algorithm for solving a class of n th order linear or nonlinear ordinary differential equations with initial conditions. This algorithm is based on Laplace Adomian Decomposition Method (LADM).... more
In this paper we propose a dynamic model representing the temporal evolution of the levels of power generation (installed capacity) from two competing sources. These are renewable and conventional (fossil) sources. The percentage... more
By completing the PN-Junction Lab in ABACUS -Assembly of Basic Applications for Coordinated Understanding of Semiconductors, users will be able to: a) conduct driftdiffusion modeling, b) describe the physical and mathematical operation of... more
An analytical method is presented based on the kinematic theorem of limit analysis applied to the stability of reinforced slopes under the seismic loading condition. The rate of external work is due to soil weight and inertia force... more
A new formulation is presented for the perturbed Lambert problem. The formulation employs the variation-of-parameters method in the KS transformed state space to determine perturbations of a Keplerian Lambert solution. The approach is... more
A theoretical investigation on the performance prediction of solar still is presented in this paper. A solar still of conventional type is considered. The mathematical model is based on time-averaged Navier-Stokes equations. The effect of... more
This article considers two kinds of two-level stabilized finite element methods based on local Gauss integral technique for the two-dimensional stationary Navier-Stokes equations approximated by the lowest equal-order elements which do... more
By exploiting the error functions of explicit symplectic integrators for solving separable Hamiltonians, I show that it is possible to develop explicit, time-reversible symplectic integrators for solving non-separable Hamiltonians of the... more
Quelques résultats de convergence pour l'algorithme de Howard Résumé : Nousétudions des résultats de convergence pour l'algorithme de Howard appliqué a la résolution du problème min a∈A (B a x − b a) = 0 où B a est une matrice, b a est un... more
One of the most important problem for solving the linear system Ax = b, by using the iterative methods, is to use a good stopping criterion and to determine the common significant digits between each corresponding components of computed... more
Mandatory emission trading schemes are being established around the world. Participants of such market schemes are always exposed to risks. This leads to the creation of an accompanying market for emission-linked derivatives. To evaluate... more
A problem of reflection and transmission of obliquely incident plane transverse wave at a plane interface between two porous elastic half-spaces in welded contact is investigated. The theory developed by Cowin and Nunziato [S.C. Cowin,... more
The mass transfer around a rising bubble has been studied within the field of glass melting processes. Due to the large value of liquid viscosity, creeping flow was used. The rising bubble is assumed to have a clean interface with a total... more
A method for solving some nonlinear fractional parabolic partial differential equations is considered.
This paper considers the K-user cognitive interference channel with one primary and K − 1 secondary/cognitive transmitters with a cumulative message sharing structure, i.e., cognitive transmitter i ∈ [2 : K] knows non-causally all... more
The optical constants of GaeslInu4sP have been determined from 0.8 to 5.0 eV using variable-angle spectroscopic ellipsometry measurements at room temperature. The metal-organic vapor-phase-epitaxy-grown samples were x-ray analyzed to... more
Numerically challenging, comprehensive benchmark cases are of great importance for researchers in the field of CFD. Numerical benchmark cases offer researchers frameworks to quantitatively explore limits of the computational tools and to... more
Optimal shape design of structural elements based on boundary variations results in final designs that are topologically equivalent to the initial choice of design, and general, stable computational schemes for this approach often require... more
MATLAB/Simulink software provides with very good tools to solve ordinary differential equations. You can solve ODEs by your own codes (M-files) using the above-mentioned numerical methods, MATLAB built-in functions (solvers) or Simulink.... more