ENGLISH

Approximate approximations

By Vladimir Mazya , Gunther Schmidt

Book information

Publisher
American Mathematical Society
Year
2007
ISBN
082184203X, 9780821842034
LCC
QA221 .M37 2007
Open Library ID
OL11420256M
Language
english
Format
DJVU
Filesize
2 MB (2260625 bytes)
Series
Mathematical surveys and monographs 141
Edition
web version
Pages
361\361
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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.

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