Author:
Publisher:
ISBN: 9781563961144
Category :
Languages : en
Pages :

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Author: James Edward Lancaster
Publisher:
ISBN:
Category : Orbits
Languages : en
Pages : 338

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Author: Alain Bensoussan
Publisher: American Mathematical Soc.
ISBN: 0821853244
Category : Mathematics
Languages : en
Pages : 410

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Book Description
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: M. I. Vishik
Publisher: Cambridge University Press
ISBN: 9780521422376
Category : Mathematics
Languages : en
Pages : 172

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A short but sweet summary of globally asymptotic solutions of evolutionary equations.

Author: Solym Mawaki Manou-Abi
Publisher: John Wiley & Sons
ISBN: 1786304546
Category : Mathematics
Languages : en
Pages : 308

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Book Description
This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.

Author: Wolfgang Wasow
Publisher: Courier Dover Publications
ISBN: 0486824586
Category : Mathematics
Languages : en
Pages : 385

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Book Description
This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

Author: Henri Poincaré
Publisher:
ISBN:
Category :
Languages : en
Pages : 332

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Author: Henri Poincaré
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 474

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Author: Mauricio Ang Ngo
Publisher:
ISBN:
Category :
Languages : en
Pages : 232

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Author: MARAT. AKHMET
Publisher:
ISBN: 9783030199166
Category :
Languages : en
Pages :

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