Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space, W.M., III. Patterson
Автор: Hackbusch Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 3319284819 ISBN-13(EAN): 9783319284811 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Wolfgang Hackbusch Название: Iterative Solution of Large Sparse Systems of Equations ISBN: 1461287243 ISBN-13(EAN): 9781461287247 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: A.B. Bakushinsky; M.Yu. Kokurin Название: Iterative Methods for Approximate Solution of Inverse Problems ISBN: 9048167981 ISBN-13(EAN): 9789048167982 Издательство: Springer Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: R. Ansorge; T. Meis; W. T?rnig Название: Iterative Solution of Nonlinear Systems of Equations ISBN: 3540116028 ISBN-13(EAN): 9783540116028 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Amat Название: Advances in Iterative Methods for Nonlinear Equations ISBN: 3319392271 ISBN-13(EAN): 9783319392271 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Wai K. Ching Название: Iterative Methods for Queuing and Manufacturing Systems ISBN: 1849968705 ISBN-13(EAN): 9781849968706 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to the recent advances and developments in iterative methods for solving Markovian queuing and manufacturing problems. With numerous exercises and fully-worked examples, this book is essential reading for anyone interested in the formulation and computation of queuing and manufacturing systems.
Описание: Iterative methods for calculating static fields are presented in this book. Static field boundary value problems are reduced to the boundary integral equations and these equations are solved by means of iterative processes. This is done for interior and exterior problems and for var- ious boundary conditions. Most problems treated are three-dimensional, because for two-dimensional problems the specific and often powerful tool of conformal mapping is available. The iterative methods have some ad- vantages over grid methods and, to a certain extent, variational methods: (1) they give analytic approximate formulas for the field and for some functionals of the field of practical importance (such as capacitance and polarizability tensor), (2) the formulas for the functionals can be used in a computer program for calculating these functionals for bodies of arbitrary shape, (3) iterative methods are convenient for computers. From a practical point of view the above methods reduce to the cal- culation of multiple integrals. Of special interest is the case of inte- grands with weak singularities. Some of the central results of the book are some analytic approximate formulas for scattering matrices for small bodies of arbitrary shape. These formulas answer many practical questions such as how does the scattering depend on the shape of the body or on the boundary conditions, how does one calculate the effective field in a medium consisting of many small particles, and many other questions.
Автор: Lau Название: Iterative Methods in Combinatorial Optimization ISBN: 1107007518 ISBN-13(EAN): 9781107007512 Издательство: Cambridge Academ Рейтинг: Цена: 12830.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows.
Описание: Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering.
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