Theory and Numerics of Differential Equations: Durham 2000 / Edition 1 available in Hardcover
- Pub. Date:
- Springer Berlin Heidelberg
This book contains detailed lecture notes on six topics at the forefro nt of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current researc h area and has an extensive bibliography. In addition, most of the not es 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 a n insight into the important results and techniques in each area witho ut recourse to the large research literature. Current (unsolved) probl ems are also described and directions for future research are given. T his 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.
Table of ContentsSpectral, Spectral Element and Mortar Element Methods.- Numerical Analysis of Microstructure.- Maple for Stochastic Differential Equations.- Nonlinear Multigrid Techniques.- Hyperbolic Differential Equations and Adaptive Numerics.