Author: Zi Li ChenPublisher:
ISBN:
Category :
Languages : en
Pages : 13
Book Description
On Finite Elements in Sublattices of Banach Lattices
Author: Zi Li ChenOn finite elements in sublattices of Banach lattices
Author: Finite Elements in Vector Lattices
Author: Martin R. WeberPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110378272
Category : Mathematics
Languages : en
Pages : 246
Book Description
The book is the first systematical treatment of the theory of finite elements in Archimedean vector lattices and contains the results known on this topic up to the year 2013. It joins all important contributions achieved by a series of mathematicians that can only be found in scattered in literature.
On Finite Elements in Vector Lattices and Banach Lattices
Author: Zi Li ChenOn finite elements in vector lattices and Banach lattices
Author: An Introduction to the Mathematical Theory of Finite Elements
Author: J. T. OdenPublisher: Courier Corporation
ISBN: 0486142213
Category : Technology & Engineering
Languages : en
Pages : 450
Book Description
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
Nonstandard Analysis and Vector Lattices
Author: Semën Samsonovich KutateladzePublisher: Springer Science & Business Media
ISBN: 9401143056
Category : Mathematics
Languages : en
Pages : 312
Book Description
Nonstandard methods of analysis consist generally in comparative study of two interpretations of a mathematical claim or construction given as a formal symbolic expression by means of two different set-theoretic models: one, a "standard" model and the other, a "nonstandard" model. The second half of the twentieth century is a period of significant progress in these methods and their rapid development in a few directions. The first of the latter appears often under the name coined by its inventor, A. Robinson. This memorable but slightly presumptuous and defiant term, non standard analysis, often swaps places with the term Robinsonian or classical non standard analysis. The characteristic feature of Robinsonian analysis is a frequent usage of many controversial concepts appealing to the actual infinitely small and infinitely large quantities that have resided happily in natural sciences from ancient times but were strictly forbidden in modern mathematics for many decades. The present-day achievements revive the forgotten term infinitesimal analysis which reminds us expressively of the heroic bygones of Calculus. Infinitesimal analysis expands rapidly, bringing about radical reconsideration of the general conceptual system of mathematics. The principal reasons for this progress are twofold. Firstly, infinitesimal analysis provides us with a novel under standing for the method of indivisibles rooted deeply in the mathematical classics.
The Mathematical Theory of Finite Element Methods
Author: Susanne BrennerPublisher: Springer Science & Business Media
ISBN: 9780387954516
Category : Mathematics
Languages : en
Pages : 390
Book Description
A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide
Extensions of Positive Operators Between Banach Lattices
Author: Donald I. CartwrightPublisher: Amer Mathematical Society
ISBN: 9780821818640
Category : Mathematics
Languages : en
Pages : 48
Book Description
Author: Norbert Hahn