Theory and Numerics of Differential Equations
Subtitle: Durham 2000
By: edited by James F. Blowey, John P. Coleman, Alan W. Craig
Contributors: Coleman, John P.; Craig, Alan W.
Series: Universitext; Universitext
Publisher: Springer Berlin Heidelberg
Published: 2001
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 282
ISBN-13: 9783642075339; 9783662043547
Subjects: Mathematics; Numerical analysis; Global analysis (Mathematics)
Description: 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 succint and accurate account of recent research in areas parallel to their own, and graduates in mathematical sciences.
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Mode of access: World Wide Web.
Table of contents: title: C. Bernardi, Y. Maday: Spectral, spectral element and mortar element methods; title: S. Cyganowski, L. Grüne, P.E. Kloeden: MAPLE for Stochastic Differential Equations; title: K.-S. Moon, A. Szepessy, R. Tempone, G. Zouraris: Hyperbolic Differential Equations and Adaptive Numerics; title: R. Kornhuber: Nonlinear Multigrid Techniques; title: C. Carstensen: Mathematical and Numerical Aspects in the Numerical Analysis of Microstructure.