The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

The purpose and organisation of this book are described in the preface to the first edition
(1988). In preparing this edition minor changes have been made, par ticularly to Chap. 1 …

This new edition updated the material by expanding coverage of certain topics, adding new
examples and problems, removing outdated material, and adding a computer disk, which …

Steady-state two-dimensional results obtained from numerical solutions to the transient
Navier-Stokes equations are given for laminar convective motion of a gas in an enclosed …

Volcanic ash fallout represents a serious threat to people living near active volcanoes
because it can produce several undesirable effects such as collapse of roofs by ash loading …

Various numerical techniques will be developed and compared for solving the one-
dimensional advection–diffusion equation with constant coefficient. These techniques are …

Despite the growing popularity of Lattice Boltzmann schemes for describing multi-
dimensional flow and transport governed by non-linear (anisotropic) advection-diffusion …

Beginning with the Galerkin finite element method and the simplest appropriate
isoparametric element for modelling the Navier‐Stokes equations, the spatial approximation …

The study of advection–diffusion equation continues to be an active field of research. The
subject has important applications to fluid dynamics as well as many other branches of …

In this review we present different techniques for obtaining stability limits for a finite
difference scheme––the forward-time and space-centered numerical scheme applied to the …