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The Boundary Function Method for Singular Perturbed Problems
This is the first book published in English devoted solely to the boundary function method, which is one of the asymptotic methods. This method provides an effective and simple way to obtain asymptotic approximations for the solutions of certain ordinary and partial differential equations containing small parameters in front of the highest derivatives. These equations, called singularly perturbed equations, are often used in modeling. In addition to numerous examples, the book includes discussions on singularly perturbed problems from chemical kinetics and heat conduction, semiconductor device modeling, and mathematical biology. The book also contains a variety of original ideas and explicit...
Composite Asymptotic Expansions
The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O’Malley resonance problem is solved.
National Union Catalog
Includes entries for maps and atlases.
Differential Equations
Translated from the Russian by Sossinskij, A.B.
The Cumulative Book Index
A world list of books in the English language.
Women's Emancipation Writing at the Fin de Siecle
This work investigates women’s emancipation writing in the second half of the nineteenth and the early twentieth centuries. Many novelists in various national literatures touched upon the theme of an emancipated woman in the long nineteenth century and at the fin de siècle. Philosophers, poets, writers, and journalists were concerned with this problem and began popularizing wholeheartedly the so-called "burning" questions. The new femininity was represented not only in the Christian context; many other traditions and cultures opened the discussion about the women’s lot. This volume analyzes women’s literary voices from different parts of the world—Turkey, England, the U.S., Italy, Russia, Spain, and others. Imagination, as it is believed, has no borders and is dialogical in its nature.
ICIAM 91
Proceedings -- Computer Arithmetic, Algebra, OOP.
