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Item Details
Title: APPROXIMATE APPROXIMATIONS
By: Vladimir Maz'ya, Gunther Schmidt
Format: Hardback

List price: £113.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 082184203X
ISBN 13: 9780821842034
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 July, 2007
Series: Mathematical Surveys and Monographs 141
Pages: 349
Description: Intended for researchers interested in approximation theory and numerical methods for partial differential and integral equations, this book develops a different approach to approximation procedures. This new approach is characterized by the common feature that the procedures are accurate without being convergent as the mesh size tends to zero.
Synopsis: In this book, a new approach to approximation procedures is developed. This new approach is characterized by the common feature that the procedures are accurate without being convergent as the mesh size tends to zero. This lack of convergence is compensated for by the flexibility in the choice of approximating functions, the simplicity of multi-dimensional generalizations, and the possibility of obtaining explicit formulas for the values of various integral and pseudodifferential operators applied to approximating functions. The developed techniques allow the authors to design new classes of high-order quadrature formulas for integral and pseudodifferential operators, to introduce the concept of approximate wavelets, and to develop new efficient numerical and semi-numerical methods for solving boundary value problems of mathematical physics. The book is intended for researchers interested in approximation theory and numerical methods for partial differential and integral equations.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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