Simulation methods are now widely used in econometrics. The range of uses covers both the estimation of parameters in and the use of models. In this paper we discuss how simulation methods can be used to investigate some issues that have proven extremely difficult to handle analytically....

Wave-splitting of Maxwell's equations on a curved surface in three-dimension is derived from the conditions for out-going and in-coming waves. The condition for out-going wave is used to derive an absorbing boundary condition on a non-planar surface. A local approximation of the absorbing...

We determine the energies of states of the diatomic anharmonic oscillator by matrix mechanics in its original form as developed by Heisenberg, Born and Jordan using perturbation theory in successive orders. We present exact formulae for the second-, fourth-, and sixth-order contributions to the...

An immersed finite element space is used to solve the elliptic interface problems by a finite volume element method. 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. Optimal...

Strong economic growth and rapidly rising incomes in Malaysia have led to a surge in Malaysian tourist arrivals to Australia in the 1990s, prior to the currency crisis in mid-1997. The purpose of the paper is to use autoregressive integrated moving average (ARIMA) models to explain the...

We will discuss three possibilities of how to improve the approximation quality of boundary element approximations for integral equations of the first kind on smooth planar curves. First we comment on iterated finite element solutions, then on reduced integration techniques resulting in...

Dickey and Fuller proposed some tests for the unit root hypothesis in uni-variate time series. [P. Perron, The great crash, the oil price shock, and the unit root hypothesis, Econometrica 57 (1989) 1361–1401] extended the t-ratio type unit root tests so that they allow for a break in the...

The purpose of this paper is to derive the asymptotic distributions of some Lagrange Multiplier (LM) tests for unit roots in time series models in the presence of missing observations, and to provide evidence on the small sample properties of these tests. LM tests for a unit root in a...

This paper reports our result demonstrating that chaos may emerge as a solution to a dynamic linear programming (LP) problem. At the same time, we present a parametrized dynamic nonlinear programming problem the limit of which equals that dynamic LP problem. Although it may be proved...

Computation of bounds on the parameters of a linear model of a dynamical system, given observations of the system input and output and bounds on the model-output error, has developed into an interesting alternative to parameter estimation by least-squares, maximum-likelihood or recursive...