Numerical Analysis of Multiscale Problems

Abstract

This book contains ten invited expository articles arising from the 91st LMS Durham Symposium on “Numerical Analysis of Multiscale Problems” which took place in the beautiful cathedral city of Durham in the UK from 5 to 15 July 2010. The Symposium was attended by 103 participants and was organised by Ivan Graham, Tom Hou and Rob Scheichl. The scientific programme highlighted novel research in theoretical numerical analysis and its applications to advances in areas such as oil reservoir modelling, high frequency scattering, data assimilation, waveguide modelling, uncertainty quantification, atomistic/continuum and polymer modelling. The selected articles in this book are written by some of the Sympo- sium’s speakers and their collaborators, including all those speakers who gave short courses of three lectures each. The topics of the articles have been chosen to give a good overall representation of the scope of the Symposium and to provide a resource for researchers who would like to learn more about contemporary progress in this area. The five themes of the Symposium, and all the speakers who supported them are as follows. Theme