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Showing papers in "Mathematics and Computers in Simulation in 1999"


Journal ArticleDOI
TL;DR: A toolbox in Maple is developed which can be used to generate complete finite element codes in 1, 2 or 3 dimensions, from a symbolic specification of the mathematical problem.

116 citations


Journal ArticleDOI
TL;DR: In this paper, an immersed finite element space is used to solve the elliptic interface problems by a finite volume element method, and special nodal basis functions are introduced in a triangle whose interior intersects with the interface so that the jump conditions across the interface are satisfied.

114 citations


Journal ArticleDOI
TL;DR: In this article, a dynamic oligopoly game with three competing firms is modeled by a discrete dynamical system obtained by the iteration of a three-dimensional non-invertible map.

103 citations


Journal ArticleDOI
TL;DR: In this paper, the authors investigated the nature of the time-variation in CAPM beta using monthly Australian data from 1979 to 1994 for 23 sectors and found that many are non-stationary.

97 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigate simplified models of computer data networks and examine how the introduction of additional random links influences the performance of these networks and show that significant performance gains can be achieved if the routing is based on geometric distance or shortest path reduced table routing.

87 citations


Journal ArticleDOI
TL;DR: In this article, the authors examined the behaviour of stock returns in two emerging markets of China, Shanghai and Shenzhen, and found that both markets suffer from negative mean returns on Monday and Tuesday, but positive returns on Friday.

85 citations


Journal ArticleDOI
TL;DR: In this paper, a nonparametric model for daily rainfall simulation is presented, which is applied in two stages: first dry and wet spell lengths are conditionally simulated, and then rainfall amounts for each day of the wet spell are simulated assuming an order one Markov dependence structure.

85 citations


Journal ArticleDOI
TL;DR: In this article, the suitability of fractal analysis for rainfall time series data is discussed, as is the question of how the theory might aid our interpretation of rainfall data from a number of gauge locations in Queensland.

67 citations


Journal ArticleDOI
TL;DR: The proposed direct adaptive fuzzy logic controller is shown to be capable of handling non-linear and time-varying systems dynamics, providing good overall system performance.

66 citations


Journal ArticleDOI
TL;DR: In this paper, a symmetric boundary element method for the static contact problem with Coulomb friction is presented, which is based on the penalty approximation, a smooth approximation of the Coulomb law of friction and symmetric discretization of the Steklov-Poincare operator.

57 citations


Journal ArticleDOI
TL;DR: Amorphous Silicon Solar Cells Analysis (ASCA) as mentioned in this paper is a computer program dedicated to the simulation of the electrical behavior of amorphous and microcrystalline silicon optoelectronic devices.

Journal ArticleDOI
TL;DR: Problems in structural mechanics can be very large scale and also extremely ill-conditioned due to both a small mesh-size parameter and extreme values of the problem parameters.

Journal ArticleDOI
TL;DR: In this paper, the Cayley-Dixon-Kapur-Saxena-Yang result was used to solve the six-line problem in computer vision and in the automated analysis of images.

Journal ArticleDOI
TL;DR: In this paper, a connection between wavelet analysis and stochastic processes is established, namely the Kolmogorov systems of ergodic theory. But this connection was not explored in detail.

Journal ArticleDOI
TL;DR: In this article, two second-order finite difference techniques based upon the classical 3-point backward time centered space (BTCS) method and the Crank-Nicolson scheme are used to solve the two-dimensional time dependent diffusion equation with nonlocal boundary conditions.

Journal ArticleDOI
TL;DR: In this paper, the authors studied the linearized stability of a discontinuous solution of a multidimensional hyperbolic system of conservation laws by linearizing the system around the basic solution; the resulting linearized system has discontinuous coefficients and involves non-conservative products.

Journal ArticleDOI
TL;DR: In this paper, two maximum likelihood methods for estimating the parameters of stochastic differential equations (SDEs) from time-series data are proposed, one is that of simulated maximum likelihood in which a nonparametric kernel is used to construct the transitional density of an SDE from a series of simulated trials and the second approach uses a spectral technique to solve the Kolmogorov equation satisfied by the transitional probability density.

Journal ArticleDOI
TL;DR: A unified approach to computing sharp error estimates for approximate solutions of elliptic type boundary value problems in variational form using duality error majorant (DEM) and computational aspects of this error estimation strategy are discussed.

Journal ArticleDOI
TL;DR: In this paper, a stochastic particle method for the numerical treatment of Smoluchowski's equation governing the coagulation of particles in a host gas was proposed, and extended to the spatially inhomogeneous case.

Journal ArticleDOI
TL;DR: Hylleberg et al. as discussed by the authors used autoregressive integrated moving average (ARIMA) models to explain the non-stationary seasonally unadjusted quarterly tourist arrivals from Malaysia to Australia from 1975(1) to 1996(4).

Journal ArticleDOI
TL;DR: DOTS is a complete redesign of the distributed threads system (DTS) using the object-oriented paradigm both in its internal implementation and in the programming paradigm it supports.

Journal ArticleDOI
TL;DR: The integration of differential equations by recurrent power series is a classical method in ODE that is valid on very long spans of integration and unusually large step-sizes.

Journal ArticleDOI
TL;DR: Empirical modeling of the industrial antibiotic fed-batch fermentation process is discussed, using a linear model, a radial basis function neural network and a hybrid linear–neural network model for the model formation.

Journal ArticleDOI
TL;DR: Genetic algorithms are shown to be able to deduce the algebraic model of a simple fuzzy controller used for controlling a truck backer–upper system and the simulated results indicate that the hybrid geno-fuzzy controller is superior to a conventional fuzzy controller.

Journal ArticleDOI
TL;DR: Non-linear dynamical analysis of one representative time series taken from financial markets, namely the Standard and Poor's Composite Price Index, shows strong evidence of chaos in one of these series, the S&P 500.

Journal ArticleDOI
TL;DR: The technique is based on direct exploitation of the nonlinear model representing the wastewater treatment process and is coupled with an asymptotic estimator for on-line tracking of simultaneously unavailable states and time varying parameters.

Journal ArticleDOI
TL;DR: In this paper, the authors define the PWM estimators of the parameters for the three-parameter Weibull distribution and investigate the properties of these estimators in a medical application setting.

Journal ArticleDOI
TL;DR: In this paper, the results of earthquake response analysis of nuclear power plant buildings in accordance with the methodology of seismic margin assessment and generic implementation procedure are given. But the results are limited by high confidence low probability of failure.

Journal ArticleDOI
TL;DR: In this paper, sufficient conditions are derived for the global asymptotic stability of the positive equilibrium of the coupled system of difference equations with distributed delays modelling the dynamics of two competing species with discrete generations.

Journal ArticleDOI
TL;DR: In this article, a numerical solution of a system of nonlinear ordinary differential equations with a time-varying delay is discussed, which describes the mutual influence between mass bodies in the case of a finite speed of the gravitational interaction, which contributes to the expansion of the universe, slightly protects stars against collisions and thus makes globular clusters more stable.