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Asymptotic Analysis for Periodic Structures
Af: J.-L. Lions, G. Papanicolaou, A. Bensoussan Engelsk Hardback
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Asymptotic Analysis for Periodic Structures
Af: J.-L. Lions, G. Papanicolaou, A. Bensoussan Engelsk Hardback
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 392
ISBN-13: 9780821853245
Indbinding: Hardback
Udgave:
ISBN-10: 0821853244
Udg. Dato: 30 dec 2011
Længde: 26mm
Bredde: 260mm
Højde: 183mm
Oplagsdato: 30 dec 2011
Forfatter(e) J.-L. Lions, G. Papanicolaou, A. Bensoussan


Kategori Differentialregning & ligninger


Sprog Engelsk


Indbinding Hardback


Sider 392


Udgave


Længde 26mm


Bredde 260mm


Højde 183mm

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