|
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
|
Buy Now
Approximation on a rectangular grid - with application to finite element methods and other problems (Paperback, Softcover reprint of the original 1st ed. 1979)
Loot Price: R1,502
Discovery Miles 15 020
|
|
|
Approximation on a rectangular grid - with application to finite element methods and other problems (Paperback, Softcover reprint of the original 1st ed. 1979)
Series: Mechanics: Analysis, 4
Expected to ship within 10 - 15 working days
|
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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
Multigrid
Ulrich Trottenberg, Cornelius W. Oosterlee, …
Hardcover
R2,387
Discovery Miles 23 870
See more
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
(1)
