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This book contains detailed lecture notes on four topics at the
forefront of current research in computational mathematics. Each
set of notes presents a self-contained guide to a current research
area and has an extensive bibliography. In addition, most of the
notes contain detailed proofs of the key results. The notes start
from a level suitable for first year graduate students in applied
mathematics, mathematical analysis or numerical analysis, and
proceed to current research topics. The reader should therefore be
able to gain quickly an insight into the important results and
techniques in each area without recourse to the large research
literature. Current (unsolved) problems are also described and
directions for future research are given. This book is also
suitable for professional mathematicians who require a succint and
accurate account of recent research in areas parallel to their own,
and graduates in mathematical sciences.
This book contains detailed lecture notes on four topics at the
forefront of current research in computational mathematics. Each
set of notes presents a self-contained guide to a current research
area and has an extensive bibliography. In addition, most of the
notes contain detailed proofs of the key results. The notes start
from a level suitable for first year graduate students in applied
mathematics, mathematical analysis or numerical analysis, and
proceed to current research topics. The reader should therefore be
able to gain quickly an insight into the important results and
techniques in each area without recourse to the large research
literature. Current (unsolved) problems are also described and
directions for future research are given. This book is also
suitable for professional mathematicians who require a succint and
accurate account of recent research in areas parallel to their own,
and graduates in mathematical sciences.
TheEleventh LMS-EPSRCComputational MathematicsandScienti?cC- puting
Summer School was held at the University of Durham, UK, from the
4th of July to the 9th of July 2004. This was the third of these
schools to be held in Durham, having previously been hosted by the
University of L- caster and the University of Leicester. The
purpose of the summer school was to present high quality
instructional courses on topics at the forefront of computational
mathematics and scienti?c computing research to postgra- ate
students. The main speakers were Emmanuel Candes, Markus Melenk,
Joe Monaghan and Alex Schweitzer. This volume presents written
contributions three of our speakers which are more comprehensive
versions of the high quality lecture notes which were
distributedtoparticipantsduringthemeeting.Wearealsoextremelypleased
that Angela Kunoth was able to make an additional contribution from
the ill-fated ?rst week. At the time of writing it is now more than
two years since we ?rst contacted
theguestspeakersandduringthatperiodtheyhavegivensigni?cantportions
of their time to making the summer school, and this volume, a
success. We
wouldliketothankallofthemforthecarewhichtheytookinthepreparation
and delivery of their material.
This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succinct and accurate account of recent research in areas parallel to their own, and graduates in mathematical sciences.
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