Описание: This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
Автор: Norbert Peters; Bernd Rogg Название: Reduced Kinetic Mechanisms for Applications in Combustion Systems ISBN: 3662139529 ISBN-13(EAN): 9783662139523 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This situation began to change inthe early 1970s when computing facilities became more powerful and more widely available, thereby facilitating numerical analysis of relatively simple combustion problems, typi- cally steady one-dimensional flames, with moderately detailed mechanisms of elementary reactions.
Автор: Pierre-Antoine Bois; Emmanuel Deriat; Renee Gatign Название: Asymptotic Modelling in Fluid Mechanics ISBN: 3662139987 ISBN-13(EAN): 9783662139981 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this book is to gather contributions from scientists in fluid mechanics who use asymptotic methods to cope with difficult problems. The last chapter of the book broadens the perspective with an overview of other issues pertaining to asymptotics, presented in a didactic way.
Автор: Jan Awrejcewicz; Igor V. Andrianov; Leonid I. Mane Название: Asymptotic Approaches in Nonlinear Dynamics ISBN: 3642720811 ISBN-13(EAN): 9783642720819 Издательство: Springer Рейтинг: Цена: 13060.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers developments in the theory of oscillations from diverse viewpoints, reflecting the fields multidisciplinary nature. It also offers the first treatment of the asymptotic and homogenization methods in the theory of oscillations in combination with Pad approximations.
Автор: Tam?s Tur?nyi; Alison S. Tomlin Название: Analysis of Kinetic Reaction Mechanisms ISBN: 3662445611 ISBN-13(EAN): 9783662445617 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Chemical processes in many fields of science and technology, including combustion, atmospheric chemistry, environmental modelling, process engineering, and systems biology, can be described by detailed reaction mechanisms consisting of numerous reaction steps. This book describes methods for the analysis of reaction mechanisms that are applicable in all these fields. Topics addressed include: how sensitivity and uncertainty analyses allow the calculation of the overall uncertainty of simulation results and the identification of the most important input parameters, the ways in which mechanisms can be reduced without losing important kinetic and dynamic detail, and the application of reduced models for more accurate engineering optimizations. This monograph is invaluable for researchers and engineers dealing with detailed reaction mechanisms, but is also useful for graduate students of related courses in chemistry, mechanical engineering, energy and environmental science and biology.
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