This article discusses finite element Galerkin schemes for a number of linear model
problems in electromagnetism. The finite element schemes are introduced as discrete …

This chapter reviews techniques of model reduction of fluid dynamics systems. Fluid systems
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …

This book provides a basic introduction to reduced basis (RB) methods for problems
involving the repeated solution of partial differential equations (PDEs) arising from …

The material covered by this book has been taught by one of the authors in a post-graduate
course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an …

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

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

In the las t few years, many engineers and mathematicians have concentra ted their efforts
on the numerical solution of the Navier-Stokes equations by finite element methods. The …

In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a
posteriori error estimation for linear functional outputs of affinely parametrized elliptic …

Over the past fifteen years two new techniques have yielded extremely important
contributions toward the numerical solution of nonlinear systems of equations. This book …

This book was intended as an introduction to the topic of numerical continuation which
would be accessible to a readership of widely varying mathematical backgrounds. Realizing …