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Numerical Approximation of Partial Differential Equations, Bartels


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Цена: 74530.00T
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Склад Америка: 197 шт.  
При оформлении заказа до: 2025-07-28
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Автор: Bartels
Название:  Numerical Approximation of Partial Differential Equations
ISBN: 9783319323534
Издательство: Springer
Классификация:


ISBN-10: 3319323539
Обложка/Формат: Hardcover
Страницы: 535
Вес: 0.93 кг.
Дата издания: 2016
Серия: Texts in Applied Mathematics
Язык: English
Иллюстрации: XV, 535 p. 170 illus. With online files/update.
Размер: 166 x 242 x 31
Читательская аудитория: Graduate/advanced undergraduate textbook
Основная тема: Mathematics
Ссылка на Издательство: Link
Поставляется из: Германии
Описание:
Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. The first part of the book discusses elementary properties of linear partial differential equations along with their basic numerical approximation, the functional-analytical framework for rigorously establishing existence of solutions, and the construction and analysis of basic finite element methods. The second part is devoted to the optimal adaptive approximation of singularities and the fast iterative solution of linear systems of equations arising from finite element discretizations. In the third part, the mathematical framework for analyzing and discretizing saddle-point problems is formulated, corresponding finte element methods are analyzed, and particular applications including incompressible elasticity, thin elastic objects, electromagnetism, and fluid mechanics are addressed. The book includes theoretical problems and practical projects for all chapters, and an introduction to the implementation of finite element methods.

Дополнительное описание: Preface.- Part I Finite differences and finite elements.- Elliptic partial differential equations.- Finite Element Method.- Part II Local resolution and iterative solution.- Local Resolution Techniques.- Iterative Solution Methods.- Part III Constrained


Approximation Theory and Approximation Practice

Автор: Trefethen
Название: Approximation Theory and Approximation Practice
ISBN: 1611972396 ISBN-13(EAN): 9781611972399
Издательство: Mare Nostrum (Eurospan)
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Цена: 55440.00 T
Наличие на складе: Невозможна поставка.
Описание: In a book that will appeal to beginners and experts alike, Oxford University’s Nick Trefethen presents approximation theory using a fresh approach for this established field.Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It uses MATLAB? to teach the field’s most important ideas and results and differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable Matlab M-file, available online.In addition, the book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment.Each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Approximation and Online Algorithms

Автор: Evripidis Bampis; Klaus Jansen
Название: Approximation and Online Algorithms
ISBN: 3642124496 ISBN-13(EAN): 9783642124495
Издательство: Springer
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Цена: 65210.00 T
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Описание: Constitutes the refereed post workshop proceedings of the 7th International Workshop on Approximation and Online Algorithms, WAOA 2009, held in Copenhagen, Denmark, in September 2009 as part of the ALGO 2009 conference event.


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