Direct and Inverse Finite-Dimensional Spectral Problems on Graphs, Mцller Manfred, Pivovarchik Vyacheslav
Автор: Mцller Manfred, Pivovarchik Vyacheslav Название: Direct and Inverse Finite-Dimensional Spectral Problems on Graphs ISBN: 3030604837 ISBN-13(EAN): 9783030604837 Издательство: Springer Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings.
This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered.
Beginning with a general overview of Anderson-type transport problems and their relevance to physical systems, it goes on to discuss in more detail the most relevant theoretical, numerical, and experimental developments in this field of research. The mathematical formulation of the innovative spectral approach is introduced together with a physical interpretation and discussion of its applicability to physical systems, followed by a numerical study of delocalization in the 2D disordered honeycomb, triangular, and square lattices. Transport in the 2D honeycomb lattice with substitutional disorder is investigated employing a spectral analysis of the quantum percolation problem. Next, the applicability of the method is extended to the classical regime, with an examination of diffusion of lattice waves in 2D disordered complex plasma crystals, along with discussion of proposed future developments in the study of complex transport problems using spectral theory.
Автор: Eric Gautier and Pierre Alquier Название: Inverse problems and high-dimensional estimation ISBN: 3642199887 ISBN-13(EAN): 9783642199882 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The product of a high-flying summer school in Paris in 2009, this volume synthesises the state of the art on ill-posed statistical inverse problems and high-dimensional estimation and explores the ways these techniques can be applied to economics.
Описание: This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems.
Описание: This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problems.
Автор: Kachalov, Alexander , Kurylev, Yaroslav , Lassas Название: Inverse Boundary Spectral Problems ISBN: 0367397056 ISBN-13(EAN): 9780367397050 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many important practical problems.
Inverse Boundary Spectral Problems develop a rigorous theory for solving several types of inverse problems exactly. In it, the authors consider the following: Can the unknown coefficients of an elliptic partial differential equation be determined from the eigenvalues and the boundary values of the eigenfunctions? Along with this problem, many inverse problems for heat and wave equations are solved. The authors approach inverse problems in a coordinate invariant way, that is, by applying ideas drawn from differential geometry. To solve them, they apply methods of Riemannian geometry, modern control theory, and the theory of localized wave packets, also known as Gaussian beams. The treatment includes the relevant background of each of these areas. Although the theory of inverse boundary spectral problems has been in development for at least 10 years, until now the literature has been scattered throughout various journals. This self-contained monograph summarizes the relevant concepts and the techniques useful for dealing with them.
Автор: Boris N. Zakhariev; Gil B. Pontecorvo; Allina A. S Название: Direct and Inverse Problems ISBN: 3540524843 ISBN-13(EAN): 9783540524847 Издательство: Springer Рейтинг: Цена: 9141.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rapid progress in quantum theory brings us new important results which are often not immediately clear to all who need them. Although they are transparent to those studying the quantum world and can be included within the necessary elements of quantum literacy, they are still largely unknown even to many specialists.
Описание: This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences.
Описание: This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences.
Автор: R.P. Gilbert; Joji Kajiwara; Yongzhi S. Xu Название: Direct and Inverse Problems of Mathematical Physics ISBN: 0792360052 ISBN-13(EAN): 9780792360056 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume consists of papers presented in the special sessions on "Wave Phenomena and Related Topics", and "Asymptotics and Homogenization" of the ISAAC`97 Congress held at the University of Delaware, during June 2-7, 1997.
Автор: R.P. Gilbert; Joji Kajiwara; Yongzhi S. Xu Название: Direct and Inverse Problems of Mathematical Physics ISBN: 144194818X ISBN-13(EAN): 9781441948182 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume consists of papers presented in the special sessions on "Wave Phenomena and Related Topics", and "Asymptotics and Homogenization" of the ISAAC`97 Congress held at the University of Delaware, during June 2-7, 1997.
Описание: Introduction.- Preliminaries on Sturm-Liouville equations.- Finite interval.- Half-line.- Quantum scattering problem on the half-line.- Scattering problem on the line.- Inverse scattering transform method.- Main transmutation operators.- Series representations.- Series representations for the Jost solution.- Sturm-Liouville problems on finite intervals.- Spectral problems on infinite intervals.- The inverse problem on a finite interval.- Solving the inverse problem on a half-line.- Inverse quantum scattering on the half-line.- Inverse scattering on the line.
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