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Books > Computing & IT > General theory of computing
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Mathematical Theory of Subdivision - Finite Element and Wavelet Methods (Hardcover)
Loot Price: R3,398
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Mathematical Theory of Subdivision - Finite Element and Wavelet Methods (Hardcover)
Expected to ship within 12 - 17 working days
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This book provides good coverage of the powerful numerical
techniques namely, finite element and wavelets, for the solution of
partial differential equation to the scientists and engineers with
a modest mathematical background. The objective of the book is to
provide the necessary mathematical foundation for the advanced
level applications of these numerical techniques. The book begins
with the description of the steps involved in finite element and
wavelets-Galerkin methods. The knowledge of Hilbert and Sobolev
spaces is needed to understand the theory of finite element and
wavelet-based methods. Therefore, an overview of essential content
such as vector spaces, norm, inner product, linear operators,
spectral theory, dual space, and distribution theory, etc. with
relevant theorems are presented in a coherent and accessible
manner. For the graduate students and researchers with diverse
educational background, the authors have focused on the
applications of numerical techniques which are developed in the
last few decades. This includes the wavelet-Galerkin method,
lifting scheme, and error estimation technique, etc. Features: *
Computer programs in Mathematica/Matlab are incorporated for easy
understanding of wavelets. * Presents a range of workout examples
for better comprehension of spaces and operators. * Algorithms are
presented to facilitate computer programming. * Contains the error
estimation techniques necessary for adaptive finite element method.
This book is structured to transform in step by step manner the
students without any knowledge of finite element, wavelet and
functional analysis to the students of strong theoretical
understanding who will be ready to take many challenging research
problems in this area.
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