Frontiers in Numerical Analysis - Durham 2010

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James Blowey, Max Jensen
Springer Science & Business Media, Jan 10, 2012 - Mathematics - 292 pages
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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.
 

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Contents

C0 Interior Penalty Methods
78
Introduction to Applications of Numerical Analysis in Time Domain Computational Electromagnetism
149
Numerical Approximation of Large Contrast Problems with the Unfitted Nitsche Method
226
Editorial Policy
283
Lecture Notes in Computational Science and Engineering
285
Monographs in Computational Science and Engineering
289
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