An Introduction to Multigrid Methods - P. Wesseling

Название: An Introduction to Multigrid Methods
Автор: P. Wesseling
Категория: Математика
Тип: Книга
Дата: 30.12.2008 15:50:26
Скачано: 76
Описание: The important analysis of errors that may occur when computers or other electronic machines are used to produce numerical solutions to problems is undertaken in this volume. The key idea of error analysis is to subdivide the total error in a numerical process into four independent categories: the approximation error, the perturbation error, the algorithm error and the rounding error. These different types of error are studied in a general framework and then the results applied to a large variety of methods. Skilful use is made of modern methods as well as sophisticated estimation techniques. Several results are of immediate practical value for designing numerical software. This book will be of interest to graduate students and researchers in numerical analysis, differential equations and linear algebra. 0471921335 1991 Two-Dimensional Geometric Variational Problems Jurgen Jost, Ruhr-Universitat Bochum, Germany Material appearing for the first time in book form is presented in this well written and scholarly account. The main topics of this volume are the theories of minimal surfaces and conformal and harmonic maps of surfaces. The author, an acknowledged expert in the field, develops a general existence technique and gives several diverse applications. Particular emphasis is placed on the connections with complex analysis. The final chapter treats Teichmuller theory via harmonic maps. The book will appeal to graduate students and researchers in Riemannian geometry, minimal submanifolds and harmonic maps of surfaces.
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