Pair approximation has frequently proved effective for deriving qualitative information about lattice-based stochastic spatial models for population, epidemic and evolutionary dynamics. Pair approximation is a moment closure method in which the mean-field description is supplemented by approximate equations for the frequencies of neighbor-site pairs of each possible type. A limitation of pair a...

The intermolecular interaction between 2-phenoxypropionic acid and β-bromo-cyclodextrin affixed on the stationary phase surface in a chiral HPLC system was studied by the moment analysis method. At first, pulse response and peak parking experiments were conducted to measure some parameters concerning the column geometry, adsorption equilibrium, and mass-transfer kinetics. Then, the first absolu...

An iterative integral equation method (IEM) is proposed for calculation of the electromagnetic (EM) scattering field from geometries with multiple reflections, such as rough surface, dihedral and trihedral. The first reflection is computed by physical optics and the coupling effects are computed by integral equations. The average size of the triangular meshes used in the proposed method is a co...

In this paper, we investigate almost-sure and moment stabilization of continuous time jump linear systems with a finite-state Markov jump form process. We first clarify the concepts of -moment stabilizability, exponential -moment stabilizability, and stochastic -moment stabilizability. We then present results on the relationships among these concepts. Coupled Riccati equations that provide nece...

In this paper, we apply projective integration methods to hyperbolic moment models of the Boltzmann equation and BGK equation, investigate numerical properties resulting scheme. Projective is an explicit scheme that tailored problems with large spectral gaps between slow (one or many) fast eigenvalue clusters model. The analysis a linearized model clearly shows reveals multi-scale nature for wh...

This paper is mainly concerned with whether the almost sure exponential stability of stochastic differential equations (SDEs) is shared with that of a numerical method. Under the global Lipschitz condition, we first show that the SDE is pth moment exponentially stable (for p ∈ (0, 1)) if and only if the stochastic theta method is pth moment exponentially stable for a sufficiently small step siz...

Much e ort has gone into the development of implicit methods for electromagnetic kinetic plasma simulation. One such implicit method is the implicit moment method [1]. The maximum allowable time step in this method has often been found to be governed by the iterative elliptic eld solver, and not the implicit moment method itself [2]. In ref. [2] it was shown, in one dimension, that by using a d...

Including tracer data into geostatistically based methods of inverse modeling is computationally very costly when all concentration measurements are used and the sensitivities of many observations are calculated by the direct di€erentiation approach. Harvey and Gorelick (Water Resour Res 1995;31(7):1615±26) have suggested the use of the ®rst temporal moment instead of the complete concentration...