In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t A new algorithm for solution of diffusion equations in two dimensions on structured quad-rilateral grids is ...

The formulaton of a multi-layer primitive equation model on the sphere is described. The horizontal representation is by means of spherical harmonics, truncated either in the triangular or rhomboidal manner. The time integration is performed using the semi-implicit method in which the linearized gravity wave terms are time averaged and thus the fast moving waves of this type are slowed. For a S...

The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method. An adaptive moving mesh method is developed for the numerical solution of an enthalpy formulation of heat conduction problems with a phase change. The algorithm is based on a very simple mesh modiication strategy that allows the smooth evolution of mesh nodes to track interfaces. At each time s...

In this study, the dispersion of reclaimed carbon fibres following cost-effective surface treatment is explored with a hydrodynamic fibre moving model, and practical effect investigated through various physical methods. To utilise for desired composite product, our proposed low-cost shown to be beneficial chemical properties yield polar-hydrophilic characteristics. Single tensile testing perfor...

In this paper we discuss Milstein type methods with implicitness for solving Itô stochastic differential equations (SDEs). For different Milstein type methods, the regions of mean-square (MS) stability are examined. The drift implicit balanced Milstein (DIBM) method and the semi-implicit balanced Milstein (SIBM) method are proposed in this paper. The obtained results show that the MS-stability ...

Multiscale differential equations arise in the modeling of many important problems in the science and engineering. Numerical solvers for such problems have been extensively studied in the deterministic case. Here, we discuss numerical methods for (mean-square stable) stiff stochastic differential equations. Standard explicit methods, as for example the EulerMaruyama method, face severe stepsize...

We extend the taming techniques for explicit Euler approximations of stochastic differential equations (SDEs) driven by Lévy noise with super-linearly growing drift coefficients. Strong convergence results are presented for the case of locally Lipschitz coefficients. Moreover, rate of convergence results are obtained in agreement with classical literature when the local Lipschitz continuity ass...

In this article, we consider a fully discrete stabilized finite element method based on two local Gauss integrations for the two-dimensional time-dependent Navier–Stokes equations. It focuses on the lowest equal-order velocity–pressure pairs. Unlike the other stabilized method, the present approach does not require specification of a stabilization parameter or calculation of higher-order deriva...

  In this paper imprecise target models has been proposed to investigate the relation between imprecise data envelopment analysis (IDEA) and mini-max reference point formulations. Through these models, the decision makers' preferences are involved in interactive trade-off analysis procedures in multiple objective linear programming with imprecise data. In addition, the gradient projection type...