In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

For problems of convection–diffusion type, Eulerian–Lagrangian localized adjoint methods
provide a methodology that maintains the accuracy and efficiency of Eulerian–Lagrangian …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

In recent years there have been significant developments in the development of stable and
accurate finite element procedures for the numerical approximation of a wide range of fluid …

An accessible introduction to the finite element method for solving numeric problems, this
volume offers the keys to an important technique in computational mathematics. Suitable for …

The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …

A class of high-resolution algorithms is developed for advection of a scalar quantity in a
given incompressible flow field in one, two, or three space dimensions. Multidimensional …

In this paper we describe several finite element methods for solving the diffusion-convection-
reaction equation. None of them is new, although the presentation is non-standard in an …

Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects
of finite element methods for the approximate solution of incompressible flow problems. The …