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Author : G. Papanicolau
Publisher : Elsevier
ISBN 13 : 0080875262
Total Pages : 725 pages
Book Rating : 4.0/5 (88 download)
Download or read book Asymptotic Analysis for Periodic Structures written by G. Papanicolau and published by Elsevier. This book was released on 1978-01-01 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Analysis for Periodic Structures
Author : Alain Bensoussan
Publisher : American Mathematical Soc.
ISBN 13 : 0821853244
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)
Download or read book Asymptotic Analysis for Periodic Structures written by Alain Bensoussan and published by American Mathematical Soc.. This book was released on 2011-10-26 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence methods. Before this book, multiple scale methods were primarily used for non-linear oscillation problems in the applied mathematics community, not for analyzing spatial oscillations as in homogenization. In the current printing a number of minor corrections have been made, and the bibliography was significantly expanded to include some of the most important recent references. This book gives systematic introduction of multiple scale methods for partial differential equations, including their original use for rigorous mathematical analysis in elliptic, parabolic, and hyperbolic problems, and with the use of probabilistic methods when appropriate. The book continues to be interesting and useful to readers of different backgrounds, both from pure and applied mathematics, because of its informal style of introducing the multiple scale methodology and the detailed proofs.
Author : Alain Bensoussan
Publisher :
ISBN 13 : 9781470415815
Total Pages : pages
Book Rating : 4.4/5 (158 download)
Download or read book Asymptotic Analysis for Periodic Structures written by Alain Bensoussan and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence met.
Author : Alain Bensoussan
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (163 download)
Download or read book Alain Bensoussan, Jacques-Louis Lions, George Papanicolaou. Asymptotic analysis for periodic structures written by Alain Bensoussan and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. Verhulst
Publisher : Springer
ISBN 13 : 3540396128
Total Pages : 503 pages
Book Rating : 4.5/5 (43 download)
Download or read book Asymptotic Analysis II written by F. Verhulst and published by Springer. This book was released on 2006-11-15 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L.I. Manevitch
Publisher : Springer Science & Business Media
ISBN 13 : 3540445714
Total Pages : 276 pages
Book Rating : 4.5/5 (44 download)
Download or read book Mechanics of Periodically Heterogeneous Structures written by L.I. Manevitch and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
Author : Mikhail V. Fedoryuk
Publisher : Springer Science & Business Media
ISBN 13 : 3642580165
Total Pages : 370 pages
Book Rating : 4.6/5 (425 download)
Download or read book Asymptotic Analysis written by Mikhail V. Fedoryuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable. The literature on this question is considerable and widely dispersed, but the methods of proofs are sufficiently similar for this material to be put together as a reference book. We have restricted ourselves to homogeneous equations. The asymptotic behaviour of an inhomogeneous equation can be obtained from the asymptotic behaviour of the corresponding fundamental system of solutions by applying methods for deriving asymptotic bounds on the relevant integrals. We systematically use the concept of an asymptotic expansion, details of which can if necessary be found in [Wasow 2, Olver 6]. By the "formal asymptotic solution" (F.A.S.) is understood a function which satisfies the equation to some degree of accuracy. Although this concept is not precisely defined, its meaning is always clear from the context. We also note that the term "Stokes line" used in the book is equivalent to the term "anti-Stokes line" employed in the physics literature.
Author : Philippe G. Ciarlet
Publisher : Springer
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (318 download)
Download or read book Plates and Junctions in Elastic Multi-structures written by Philippe G. Ciarlet and published by Springer. This book was released on 1990 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vicente Romero-Garcia
Publisher : John Wiley & Sons
ISBN 13 : 1119649161
Total Pages : 320 pages
Book Rating : 4.1/5 (196 download)
Download or read book Fundamentals and Applications of Acoustic Metamaterials written by Vicente Romero-Garcia and published by John Wiley & Sons. This book was released on 2019-08-08 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades, metamaterials have revolutionized the ways in which waves are controlled, and applied in physics and practical situations. The extraordinary properties of metamaterials, such as their locally resonant structure with deep subwavelength band gaps and their ranges of frequency where propagation is impossible, have opened the way to a host of applications that were previously unavailable. Acoustic metamaterials have been able to replace traditional treatments in several sectors, due to their better performance in targeted and tunable frequency ranges with strongly reduced dimensions. This is a training book composed of nine chapters written by experts in the field, giving a broad overview of acoustic metamaterials and their uses. The book is divided into three parts, covering the state-of-the-art, the fundamentals and the real-life applications of acoustic metamaterials.
Author : Hans G. Kaper
Publisher : CRC Press
ISBN 13 : 1482277069
Total Pages : 283 pages
Book Rating : 4.4/5 (822 download)
Download or read book Asymptotic Analysis and the Numerical Solution of Partial Differential Equations written by Hans G. Kaper and published by CRC Press. This book was released on 1991-02-25 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per
Author : R. B. White
Publisher : World Scientific
ISBN 13 : 1848166079
Total Pages : 430 pages
Book Rating : 4.8/5 (481 download)
Download or read book Asymptotic Analysis of Differential Equations written by R. B. White and published by World Scientific. This book was released on 2010 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques." --Book Jacket.
Author : Vladimir Kozlov
Publisher : Oxford University Press, USA
ISBN 13 : 9780198514954
Total Pages : 308 pages
Book Rating : 4.5/5 (149 download)
Download or read book Asymptotic Analysis of Fields in Multi-structures written by Vladimir Kozlov and published by Oxford University Press, USA. This book was released on 1999 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines a powerful new method in analysis which has already been instrumental in solving complicated partial differential equations arising in various areas of engineering. It is suitable for those working with partial differential equations and their applications, and an undergraduate knowledge of PDE's and functional analysis is assumed.
Author : Ricardo Estrada
Publisher : Springer Science & Business Media
ISBN 13 : 1468400290
Total Pages : 266 pages
Book Rating : 4.4/5 (684 download)
Download or read book Asymptotic Analysis written by Ricardo Estrada and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic analysis is an old subject that has found applications in vari ous fields of pure and applied mathematics, physics and engineering. For instance, asymptotic techniques are used to approximate very complicated integral expressions that result from transform analysis. Similarly, the so lutions of differential equations can often be computed with great accuracy by taking the sum of a few terms of the divergent series obtained by the asymptotic calculus. In view of the importance of these methods, many excellent books on this subject are available [19], [21], [27], [67], [90], [91], [102], [113]. An important feature of the theory of asymptotic expansions is that experience and intuition play an important part in it because particular problems are rather individual in nature. Our aim is to present a sys tematic and simplified approach to this theory by the use of distributions (generalized functions). The theory of distributions is another important area of applied mathematics, that has also found many applications in mathematics, physics and engineering. It is only recently, however, that the close ties between asymptotic analysis and the theory of distributions have been studied in detail [15], [43], [44], [84], [92], [112]. As it turns out, generalized functions provide a very appropriate framework for asymptotic analysis, where many analytical operations can be performed, and also pro vide a systematic procedure to assign values to the divergent integrals that often appear in the literature.
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 2002 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan Giorgio
Publisher : Springer Nature
ISBN 13 : 3031045483
Total Pages : 739 pages
Book Rating : 4.0/5 (31 download)
Download or read book Theoretical Analyses, Computations, and Experiments of Multiscale Materials written by Ivan Giorgio and published by Springer Nature. This book was released on 2022-05-03 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the 60th birthday of the Prof. Francesco dell’Isola, who is known for his long-term contribution in the field of multiscale materials. It contains several contributions from researchers in the field, covering theoretical analyses, computational aspects and experiments.
Author : Wojciech Pietraszkiewicz
Publisher : CRC Press
ISBN 13 : 0203859766
Total Pages : 361 pages
Book Rating : 4.2/5 (38 download)
Download or read book Shell Structures: Theory and Applications (Vol. 2) written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2009-09-22 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shell Structures. Theory and Applications, Volume 2 contains 77 contributions from over 17 countries, reflecting a wide spectrum of scientific and engineering problems of shell structures. The papers are divided into six broad groups: 1. General lectures; 2. Theoretical modeling; 3. Stability; 4. Dynamics; 5. Numerical analysis; 6. Engineering
Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303030406X
Total Pages : 231 pages
Book Rating : 4.0/5 (33 download)
Download or read book Higher Gradient Materials and Related Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2019-11-04 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.
