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Iterative Solution of Large Sparse Systems of Equations, Hackbusch


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Цена: 18167.00р.
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Автор: Hackbusch
Название:  Iterative Solution of Large Sparse Systems of Equations
ISBN: 9783319284811
Издательство: Springer
Классификация:



ISBN-10: 3319284819
Обложка/Формат: Hardback
Страницы: 509
Вес: 0.96 кг.
Дата издания: 2016
Серия: Applied Mathematical Sciences
Язык: English
Издание: 2 rev ed
Иллюстрации: 15 black & white illustrations, 11 colour illustrations, 10 colour tables, biography
Размер: 234 x 156 x 30
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание:
In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature.
The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms.
The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.

Дополнительное описание: Part I: Linear Iterations.- Introduction.- Iterative Methods.- Classical Linear Iterations in the Positive Definite Case.- Analysis of Classical Iterations Under Special Structural Conditions.- Algebra of Linear Iterations.- Analysis of Positive Definite



Iterative Methods for Sparse Linear Systems, 2 ed.

Автор: Saad, Yousef
Название: Iterative Methods for Sparse Linear Systems, 2 ed.
ISBN: 0898715342 ISBN-13(EAN): 9780898715347
Издательство: Wiley
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Цена: 27034.00 р.
Наличие на складе: Поставка под заказ.

Описание: This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations.

Sparse Grid Quadrature in High Dimensions with Applications in Finance and Insurance

Автор: Markus Holtz
Название: Sparse Grid Quadrature in High Dimensions with Applications in Finance and Insurance
ISBN: 3642265634 ISBN-13(EAN): 9783642265631
Издательство: Springer
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Цена: 15372.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book deals with the numerical analysis and efficient numerical treatment of high-dimensional integrals using sparse grids and other dimension-wise integration techniques with applications to finance and insurance.

Advances in Iterative Methods for Nonlinear Equations

Автор: Amat
Название: Advances in Iterative Methods for Nonlinear Equations
ISBN: 3319392271 ISBN-13(EAN): 9783319392271
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

Iterative-Interpolation Super-Resolution Image Reconstruction

Автор: Vivek Bannore
Название: Iterative-Interpolation Super-Resolution Image Reconstruction
ISBN: 3642101453 ISBN-13(EAN): 9783642101458
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book presents a novel, hybrid, computationally-efficient reconstruction scheme for solving the problem of super-resolution restoration of high-resolution images from sequences of geometrically warped, aliased and under-sampled low-resolution images.


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