The present review covers the heat transfer literature published in 2004 in English
language, including some translations of foreign language papers. Though extensive, some …

A new approach is devised to construct high order CESE schemes which would avoid the
common shortcomings of traditional high order schemes including:(a) susceptibility to …

This paper reports the application of the space-time conservation element and solution
element (CESE) method to the numerical solution of nonlinear waves in elastic solids. The …

We develop a new flux-limiter method based on the Richtmyer two-step Lax–Wendroff
(R2LW) method coupled with a conservative upwind method and a nonconventional flux …

The CESE development is driven by a belief that a solver should (i) enforce conservation
laws in both space and time, and (ii) be built from a non-dissipative (ie, neutrally stable) core …

The core motivating ideas of the space-time CESE method are clearly presented and
critically analyzed. It is explained why these ideas result in all the simplifying and enabling …

We develop a nonstandard difference-integral method based on a nonstandard finite
difference method coupled with a CE–SE scheme. We use the viscous Burgers' equation …

In this dissertation, a new theoretical and numerical approach to model linear and nonlinear
stress waves in complex solids has been developed. The model equations are derived …

∂ 2u/∂ x2, respectively) and three equations per mesh point, the new scheme is referred to
as the a (3) scheme. As in the case of other similar CESE neutrally stable solvers, the a (3) …

In order to obtain a reliable numerical solution, with low computational cost, for a differential
equation system modelling the unsteady flow with chemical species tracking in tapered …