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Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies, Alexander G. Ramm


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Автор: Alexander G. Ramm
Название:  Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies
ISBN: 9780387906829
Издательство: Springer
Классификация: ISBN-10: 0387906827
Обложка/Формат: Paperback
Страницы: 123
Вес: 0.21 кг.
Дата издания: 11.05.1982
Язык: English
Размер: 234 x 156 x 8
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.

Iterative Methods for Approximate Solution of Inverse Problems

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: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.

Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems

Автор: ENGELI; GINSBURG; STIEFEL; RUTISHAUSER
Название: Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems
ISBN: 3034872267 ISBN-13(EAN): 9783034872263
Издательство: Springer
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Цена: 46570.00 T
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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: 88500.00 T
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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.

A Contemporary Study of Iterative Methods

Автор: Magrenan, A. Alberto
Название: A Contemporary Study of Iterative Methods
ISBN: 0128092149 ISBN-13(EAN): 9780128092149
Издательство: Elsevier Science
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Цена: 88650.00 T
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Описание:

A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand.

  • Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces
  • Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography
  • Explores the uses of computation of iterative methods across non-linear analysis
  • Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options

Discretization Methods and Iterative Solvers Based on Domain Decomposition

Автор: Barbara I. Wohlmuth
Название: Discretization Methods and Iterative Solvers Based on Domain Decomposition
ISBN: 354041083X ISBN-13(EAN): 9783540410836
Издательство: Springer
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Цена: 93160.00 T
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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.

Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space

Автор: W.M., III. Patterson
Название: Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space
ISBN: 3540068058 ISBN-13(EAN): 9783540068051
Издательство: Springer
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Цена: 23250.00 T
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Recent Advances in Iterative Methods

Автор: Gene Golub; Anne Greenbaum; Mitchell Luskin
Название: Recent Advances in Iterative Methods
ISBN: 1461393558 ISBN-13(EAN): 9781461393559
Издательство: Springer
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Цена: 111790.00 T
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Описание: This IMA Volume in Mathematics and its Applications RECENT ADVANCES IN ITERATIVE METHODS is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra.

Iterative Methods for Simultaneous Inclusion of Polynomial Zeros

Автор: Miodrag Petkovic
Название: Iterative Methods for Simultaneous Inclusion of Polynomial Zeros
ISBN: 3540514856 ISBN-13(EAN): 9783540514855
Издательство: Springer
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Цена: 41920.00 T
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Описание: The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. This book is suitable for mathematicians, engineers, physicists and computer scientists who are interested in developments and applications in the subject, as well as those with graduate level mathematical background.

Iterative Methods in Combinatorial Optimization

Автор: Lau
Название: Iterative Methods in Combinatorial Optimization
ISBN: 1107007518 ISBN-13(EAN): 9781107007512
Издательство: Cambridge Academ
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Цена: 85530.00 T
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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.


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