Showing papers in "Mathematics and Computers in Simulation in 2007"

TL;DR: An adaptive network-based fuzzy inference system (ANFIS) approach was used to construct a River flow forecasting system and indicated that the ANFIS can be applied successfully and provide high accuracy and reliability for River flow estimation.

TL;DR: In this work, the use of simulation is proposed for the solution of the Cronbach's alpha statistical significance problem, which measures the reliability of a questionnaire's answers.

TL;DR: This paper presents a linearly implicit conservative method to solve the coupled nonlinear Schrodinger equation, which is second order accurate in space and time and conserves the energy exactly.

TL;DR: A robust approach for a parallel framework has been developed to generate large-scale meshes in a short period of time and the scalability of the parallel mesh generation is evaluated to quantify the improvement on shared- and distributed-memory computer systems.

TL;DR: This study explores two multiple attribute decision-making (MADM) methods to solve a dynamic operator allocation problem that incorporates a fuzzy-based logic that uses linguistic variable representation, fuzzy operation, and fuzzy defuzzification.

TL;DR: This work gives a short review of the most important results devoted to discrete counterparts of the maximum principle (called discrete maximum principles, DMPs), mainly in the framework of the finite element method, and also presents its own recent results on D MPs for a class of second-order nonlinear elliptic problems with mixed boundary conditions.

TL;DR: A highly accurate, unconditionally stable scheme that features a Galerkin method with periodic splines to approximate the spatial structure and a two-stage Gauss-Legendre implicit Runge-Kutta method for the temporal discretization is implemented.

TL;DR: In this paper, a very flexible family which contains the gamma distribution as a particular case is introduced and evidence of flexibility is shown by examining the shape of its probability density function.

TL;DR: In this paper, it was shown that a symmetric soliton in coupled nonlinear Schrodinger (NLS) equations with cubic nonlinearity loses its stability with the increase of the energy, featuring a transition into an asymmetric solitons via a subcritical bifurcation.

TL;DR: The analogue of Black-Scholes formula for vanilla call option price in conditions of (B,S)-securities market with delayed response is derived from a special case of continuous-time version of GARCH.

TL;DR: A new asymptotical stability criterion and a new robust stability criterion in terms of only one simple linear matrix inequality (LMI) are presented, which guarantees stability for such systems with time-varying delays.

TL;DR: A rational approximant of third order is used to transform the two-dimensional sine-Gordon (SG) equation into a second-order initial-value problem and conclusions for both the mentioned schemes regarding the undamped and the damped problem are derived.

TL;DR: In this article, a general class of multi-solitons which do not in general conserve the number of line solitons after interaction was investigated, and it was shown that the solution space of these elastic Noliton solutions can be classified into (2N-1)!! disjoint sectors which are characterized in terms of the amplitudes and directions of the N line Solitons.

TL;DR: A new sufficient condition is presented to ensure the existence, uniqueness, and global robust stability of equilibria for interval neural networks with multiple time-varying delays based on the Lyapunov-Razumikhin technique as well as matrix inequality analysis.

TL;DR: Three algorithms for optimization of a tool path of a numerically controlled five-axis milling machine based on the variational grid generation, a new modification of the space filling curves techniques and construction of vector fields composed of optimal cutting directions are introduced.

TL;DR: The Bayes estimators of reliability performances for Burr XII distribution are researched under LINEX error loss where hyper-parameter is estimated using maximum likelihood method and an illustrative example is examined numerically by means of Monte-Carlo simulation.

TL;DR: Three implicit finite difference methods based on Pade approximations in space are developed for the Rosenau-Hyman K(n,n) equation and the accuracy in long-time integrations of high-order Pade methods is shown.

TL;DR: This paper controls the chaotic behavior of perturbed Chua's system to its equilibrium points using linear feedback control and adaptive control methods, and studies chaos synchronization of pert disturbed Chua’s system by using active control and Adaptive control methods.

TL;DR: Hill's method is the mathematical foundation of SpectrUW (pronounced ''spectrum''), mathematical black-box software that serves as a laboratory for the numerical approximation of spectra of one-dimensional linear operators.

TL;DR: Hopfield neural networks with continuously distributed delays are considered and sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using the fixed point theorem and differential inequality techniques.

TL;DR: Finite element analysis and experimental results reveal that the natural frequency of a linear guide increases with the increment of the preload, and the dynamic characteristics predicted by finite element analysis agree well with those measured from instrumental experiments.

TL;DR: This paper deals with a spherically symmetric three-dimensional inverse heat conduction problem of determining the internal surface temperature distribution of a hollow sphere from the measured data at a fixed location inside it and a modified Tikhonov regularization method is given.

TL;DR: A Fourier-Galerkin spectral technique for computing the stationary solutions of 2D generalized wave equations using a special complete orthonormal system of functions in L^2(-~,~) is developed.

TL;DR: The response of a two-degree-of-freedom system with quadratic coupling under a modulated amplitude sinusoidal excitation is studied and solved and the stability of the periodic solution and dynamical properties of local bifurcations of this system are focused on.

TL;DR: One of the main findings of the present work is how to use this conservation law to give a simple geometric proof of the nonlinear superposition principle applicable to the solutions of the EP equation.

TL;DR: A novel, simple yet efficient method is proposed to approximately solve linear ordinary differential equations (ODEs) with variable coefficients that can readily be implemented by symbolic computation.

TL;DR: A Monte Carlo method for the numerical computation of the principal eigenvalue of the Laplace operator in a bounded domain with Dirichlet conditions is described, based on the estimation of the speed of absorption of the Brownian motion by the boundary of the domain.

TL;DR: This paper discusses the mechanisms of torus formation and torus destruction in a dc/dc converter with relay control and hysteresis, and establishes a chart of the dynamical modes in the input voltage versus load resistance parameter plane.

TL;DR: A computational method for simulating blood flow through a heart mechanical valve in aortic position, based on lattice Boltzmann methods is presented, which compared very well with the experimental values published in the technical literature.

TL;DR: This paper presents a discrete numerical method for computing mean square approximations of random diffusion models and establishes mean square consistency of the random difference scheme.