Homogenisation Averaging Processes In Periodic Media PDF Download
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Author | : N.S. Bakhvalov |
Publisher | : Springer Science & Business Media |
Total Pages | : 400 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400922477 |
Download Homogenisation: Averaging Processes in Periodic Media Book in PDF, ePub and Kindle
'Et moi, .... si j'avait su comment en revenir, One service mathematics has rendered the je n'y semis point all,,: human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent: therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non !inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author | : K.J Bathe |
Publisher | : Elsevier |
Total Pages | : 2485 |
Release | : 2003-06-02 |
Genre | : Technology & Engineering |
ISBN | : 008052947X |
Download Computational Fluid and Solid Mechanics 2003 Book in PDF, ePub and Kindle
Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis
Author | : Leonardo Bacelar Lima Santos |
Publisher | : Springer |
Total Pages | : 258 |
Release | : 2019-07-23 |
Genre | : Mathematics |
ISBN | : 303021205X |
Download Towards Mathematics, Computers and Environment: A Disasters Perspective Book in PDF, ePub and Kindle
With relevant, timely topics, this book gathers carefully selected, peer-reviewed scientific works and offers a glimpse of the state-of-the-art in disaster prevention research, with an emphasis on challenges in Latin America. Topics include studies on surface frost, an extreme meteorological event that occasionally affects parts of Argentina, Bolivia, Peru, and southern Brazil, with serious impacts on local economies; near-ground pollution concentration, which affects many industrial, overpopulated cities within Latin America; disaster risk reduction and management, which are represented by mathematical models designed to assess the potential impact of failures in complex networks; and the intricate dynamics of international armed conflicts, which can be modeled with the help of stochastic theory. The book offers a valuable resource for professors, researchers, and students from both mathematical and environmental sciences, civil defense coordinators, policymakers, and stakeholders.
Author | : Malcolm Brown |
Publisher | : Springer Nature |
Total Pages | : 731 |
Release | : 2023-09-21 |
Genre | : Mathematics |
ISBN | : 3031311396 |
Download From Complex Analysis to Operator Theory: A Panorama Book in PDF, ePub and Kindle
This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.
Author | : José Merodio |
Publisher | : Springer Nature |
Total Pages | : 397 |
Release | : 2019-11-14 |
Genre | : Science |
ISBN | : 3030315479 |
Download Constitutive Modelling of Solid Continua Book in PDF, ePub and Kindle
This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.
Author | : Vladimir Maz'ya |
Publisher | : Birkhäuser |
Total Pages | : 448 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034884346 |
Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Book in PDF, ePub and Kindle
For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors’ work, and has no significant overlap with other books on the theory of elliptic boundary value problems.
Author | : V. G. Mazʹi͡a︡ |
Publisher | : Springer Science & Business Media |
Total Pages | : 362 |
Release | : 2000 |
Genre | : Boundary value problems |
ISBN | : 9783764363987 |
Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II Book in PDF, ePub and Kindle
Author | : Vladimir Maz'ya |
Publisher | : Birkhäuser |
Total Pages | : 336 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 303488432X |
Download Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II Book in PDF, ePub and Kindle
For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors’ work, and has no significant overlap with other books on the theory of elliptic boundary value problems
Author | : Rmi Vaillancourt |
Publisher | : American Mathematical Soc. |
Total Pages | : 308 |
Release | : 1993-12-21 |
Genre | : Technology & Engineering |
ISBN | : 9780821870266 |
Download Asymptotic Methods in Mechanics Book in PDF, ePub and Kindle
Asymptotic methods constitute an important area of both pure and applied mathematics and have applications to a vast array of problems. This collection of papers is devoted to asymptotic methods applied to mechanical problems, primarily thin structure problems. The first section presents a survey of asymptotic methods and a review of the literature, including the considerable body of Russian works in this area. This part may be used as a reference book or as a textbook for advanced undergraduate or graduate students in mathematics or engineering. The second part presents original papers containing new results. Among the key features of the book are its analysis of the general theory of asymptotic integration with applications to the theory of thin shells and plates, and new results about the local forms of vibrations and buckling of thin shells which have not yet made their way into other monographs on this subject.
Author | : Boris N. Khoromskij |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 379 |
Release | : 2018-06-11 |
Genre | : Mathematics |
ISBN | : 311036591X |
Download Tensor Numerical Methods in Scientific Computing Book in PDF, ePub and Kindle
The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor formats. The old and new rank-structured tensor formats are investigated. We discuss in detail the novel quantized tensor approximation method (QTT) which provides function-operator calculus in higher dimensions in logarithmic complexity rendering super-fast convolution, FFT and wavelet transforms. This book suggests the constructive recipes and computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and algorithms for the sinc-based separable approximation of the analytic radial basis functions including Green’s and Helmholtz kernels. The efficient tensor-based techniques for computational problems in electronic structure calculations and for the grid-based evaluation of long-range interaction potentials in multi-particle systems are considered. We also discuss the QTT numerical approach in many-particle dynamics, tensor techniques for stochastic/parametric PDEs as well as for the solution and homogenization of the elliptic equations with highly-oscillating coefficients. Contents Theory on separable approximation of multivariate functions Multilinear algebra and nonlinear tensor approximation Superfast computations via quantized tensor approximation Tensor approach to multidimensional integrodifferential equations