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Inverse Boundary Spectral Problems, Kachalov, Alexander , Kurylev, Yaroslav , Lassas


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Автор: Kachalov, Alexander , Kurylev, Yaroslav , Lassas
Название:  Inverse Boundary Spectral Problems
ISBN: 9780367397050
Издательство: Taylor&Francis
Классификация:


ISBN-10: 0367397056
Обложка/Формат: Paperback
Страницы: 312
Вес: 0.58 кг.
Дата издания: 27.09.2019
Серия: Monographs and Surveys in Pure and Applied Mathematics
Язык: English
Размер: 231 x 155 x 15
Читательская аудитория: Tertiary education (us: college)
Основная тема: Mathematical Physics
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
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.




Generalized Inverse Operators: And Fredholm Boundary-Value Problems

Автор: Alexander Andreevych Boichuk, Anatolii M. Samoilen
Название: Generalized Inverse Operators: And Fredholm Boundary-Value Problems
ISBN: 3110378396 ISBN-13(EAN): 9783110378399
Издательство: Walter de Gruyter
Цена: 24165.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on numerous classes of problems that were traditionally studied independently of each other enables us to study, in a natural way, the theory of these problems, to supplement and improve the existing results, and in certain cases, study some of these problems for the first time.With the help of the technique of generalized inverse operators, the Vishik– Lyusternik method, and iterative methods, we perform a detailed investigation of the problems of existence, bifurcations, and branching of the solutions of linear and nonlinear boundary-value problems for various classes of differential-operator systems and propose new procedures for their construction.For more than 11 years that have passed since the appearance of the first edition of the monograph, numerous new publications of the authors in this direction have appeared. In this connection, it became necessary to make some additions and corrections to the previous extensively cited edition, which is still of signifi cant interest for the researchers.For researchers, teachers, post-graduate students, and students of physical and mathematical departments of universities. Contents:Preliminary InformationGeneralized Inverse Operators in Banach SpacesPseudoinverse Operators in Hilbert SpacesBoundary-Value Problems for Operator EquationsBoundary-Value Problems for Systems of Ordinary Differential EquationsImpulsive Boundary-Value Problems for Systems of Ordinary Differential EquationsSolutions of Differential and Difference Systems Bounded on the Entire Real Axis

Inverse problems and high-dimensional estimation

Автор: Eric Gautier and Pierre Alquier
Название: Inverse problems and high-dimensional estimation
ISBN: 3642199887 ISBN-13(EAN): 9783642199882
Издательство: Springer
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Цена: 15372.00 р.
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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.

Large-Scale Inverse Problems and Quantification of Uncertainty

Автор: Biegler
Название: Large-Scale Inverse Problems and Quantification of Uncertainty
ISBN: 0470697431 ISBN-13(EAN): 9780470697436
Издательство: Wiley
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Цена: 17733.00 р.
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Описание: This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems.


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