Approximation on a rectangular grid (Paperback)

Idioma: inglés

Editorial: Springer, Dordrecht, 2011

9400995407 / 9789400995406

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Paperback. The present monograph has points in common with two branches of analysis. One of them is the variational-difference method (the finite element method), the other is the constructive theory of functions. The starting point is the construction of special classes of coordinate functions for the variational-difference method. It is based on elementary transformations .of the independent variables of given "primitive" functions. After the construction of the coordinate functions, the next step is to approximate functions of a given class by linear combinations of the coordinate functions, and to derive in some appropriate norm an estimate of the error. Clearly, this is a problem closely connected with the constructive theory of functions. The monograph contains 11 chapters. Chapter I discusses Courant's basic idea which is central to the construction of variational-difference methods. One of Courant's examples, from which the notion of a primitive function follows naturally, is examined in some detail. The general definition of a primitive function and the method of construction for the corresponding coordinate functions are given and discussed. Chapters II-VI are more closely connected with the constructive theory of functions. The completeness of the coordinate systems defined in Chapter I are studied, as well as the order of approximation obtained through the use of linear combinations of these functions. Their completeness in Sobolev spaces are examined in Chapter II, while related orders of approximation are derived in Chapter III. After the construction of the coordinate functions, the next step is to approximate functions of a given class by linear combinations of the coordinate functions, and to derive in some appropriate norm an estimate of the error. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

N° de ref. del artículo 9789400995406

Título
Approximation on a rectangular grid (Paperback)
Autor
S.G. Mikhlin
Editorial
Springer, Dordrecht
Año de publicación
2011
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
9400995407
ISBN 13
9789400995406

AussieBookSeller

Truganina, VIC, Australia

Vendedor de 5 estrellas

Vendedor de AbeBooks desde 22 de junio de 2007

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ArtículoDe 25 a 45 días hábilesDe 8 a 14 días hábiles
Primer artículoEUR 31,86EUR 37,89
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The Nile Group Pty Ltd

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Truganina, VIC Australia 3029