Frontiers in Numerical Analysis - Durham 2010

1. Front Matter

   Pages i-xi

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2. Some Remarks on Eigenvalue Approximation by Finite Elements

   • Daniele Boffi, Francesca Gardini, Lucia Gastaldi

   Pages 1-77

3. C ⁰ Interior Penalty Methods

   • Susanne C. Brenner

   Pages 79-147

4. Introduction to Applications of Numerical Analysis in Time Domain Computational Electromagnetism

   • Qiang Chen, Peter Monk

   Pages 149-225

5. Numerical Approximation of Large Contrast Problems with the Unfitted Nitsche Method

   • Erik Burman, Paolo Zunino

   Pages 227-282

6. Back Matter

   Pages 283-289

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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.

• computational electromagnetism
• eigenvalue approximation
• finite element methods
• interior penalty methods
• large contrast problems

• , Department of Mathematical Sciences, Durham University, Durham, United Kingdom

  James Blowey, Max Jensen

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