in this article, we propose and analyze a computational method for numerical solution of general two point boundary value problems. method is tested on problems to ensure the computational eciency. we have compared numerical results with results obtained by other method in literature. we conclude that propose method is computationally ecient and eective.

An improved design of Photonic Crystal Fiber with extremely high birefringence and ultralow confinement loss is proposed and analyzed by fullvector finite-element method with uniaxial perfectly matched layers. Numerical results confirm that the proposed structure provides extremely high birefringence (~0.022) and ultralow confinement loss (<0.001dB/km).

In this Chapter QCD interactions between a quark and an anti-quark are discussed. In the heavy quark limit these potentials can be related to quarkonia and 1/m corrections can be systematically determined. Ex-citations of the ground state potential provide an entry point into the phenomenology of quark-gluon hybrids. The short-distance behaviour of non-perturbative potentials can serve as a tes...

Realistic explosion effects can enhance the realism and immersion in virtual battlefield. The real-time explosion effects simulation of the explosion products and their interactions, such as explosive fireball, explosive smoke and explosive ash, will be exploded into two phases: explosions and fuel modeling. The explosions modeling describe the formation and spreading of the explosive fireball....

We present a general analytical model which describes the superlinear convergence of Krylov subspace methods. We take an invariant subspace approach, so that our results apply also to inexact methods, and to non-diagonalizable matrices. Thus, we provide a unified treatment of the superlinear convergence of GMRES, Conjugate Gradients, block versions of these, and inexact subspace methods. Numeri...

In this paper, we present a global convergence theory for Newton's Method in n dimensions for functions of polynomial character (generic or truncated Taylor series), augmenting the classical Newton-Kantorovich results on quadratic convergence. It is shown that there exist ve distinct, quantiiable convergence states, which can be described by a nite state machine. From this convergence descripti...

Uncertainty is an essential property of rock mechanics and engineering, which great significance to excavation, design, control engineering. In this study, innovative framework the reliability-based design was developed for tunnel under uncertainty. The convergence-confinement method used characterize interaction mechanism between support structure surrounding mass. Artificial bee colony (ABC) ...

Introduction. Dedekind has determined all groups whose subgroups are all normal (see, e.g., [5, Theorem 12.5.4]). Partially generalizing this, Wielandt showed that a finite group is nilpotent, if and only if all its subgroups are subnormal, and also if and only if all maximal subgroups are normal [5, Corollary 10.3.1, 10.3.4]. Huppert [7, Sätze 23, 24] has shown that if all 2nd-maximal subgroup...

We have reached our goal of implementing a computationally cheap algorithm for realtime rendering of realistic two-dimensional fire. The fire is simulated using computational fluid dynamics, vorticity confinement, and combustion modelling and visualized using black-body radiation. Small rotationally homogenous fires like torches and candles viewed in front are the best candidates when using thi...

The aim of this paper is to improve the convergence rate of frame algorithm based on Richardson iteration and Chebyshev methods. Based on Richardson iteration method, we first square the existing convergence rate of frame algorithm which in turn the number of iterations would be bisected and increased speed of convergence is achieved. Afterward, by using Chebyshev polynomials, we improve this s...