Approximation Theory and Approximation Practice: Extended Edition, Lloyd N. Trefethen
Автор: Komornik, Vilmos Название: Topology, calculus and approximation ISBN: 1447173155 ISBN-13(EAN): 9781447173151 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejer, Stieltjes, and Turan.
The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Caratheodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.
Автор: George M. Phillips Название: Interpolation and Approximation by Polynomials ISBN: 1441918108 ISBN-13(EAN): 9781441918109 Издательство: Springer Рейтинг: Цена: 10475.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks.
Автор: Dietrich Braess Название: Nonlinear Approximation Theory ISBN: 3642648835 ISBN-13(EAN): 9783642648830 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first investigations of nonlinear approximation problems were made by P.L. On the other hand, methods developed for nonlinear approximation prob- lems can often be successfully applied to problems which belong to or arise from linear approximation.
Автор: Armin Iske; Jeremy Levesley Название: Algorithms for Approximation ISBN: 3642069940 ISBN-13(EAN): 9783642069949 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides, in a unified framework, an updated andrather comprehensive treatment contered on the theory of ot-pimal control with quadratic cost functional for abstractlinear systems with application to boundary/point controlproblems for partial differential equations (distributed pa-rameter systems).
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.
Andreas B?rmann develops novel approaches for the solution of network design problems as they arise in various contexts of applied optimization. At the example of an optimal expansion of the German railway network until 2030, the author derives a tailor-made decomposition technique for multi-period network design problems. Next, he develops a general framework for the solution of network design problems via aggregation of the underlying graph structure. This approach is shown to save much computation time as compared to standard techniques. Finally, the author devises a modelling framework for the approximation of the robust counterpart under ellipsoidal uncertainty, an often-studied case in the literature. Each of these three approaches opens up a fascinating branch of research which promises a better theoretical understanding of the problem and an increasing range of solvable application settings at the same time.
Автор: S.P. Singh; J.H.W. Burry; B. Watson Название: Approximation Theory and Spline Functions ISBN: 9027718180 ISBN-13(EAN): 9789027718181 Издательство: Springer Рейтинг: Цена: 45979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute, St. John`s, Newfoundland, Canada, August 22-September 2, 1983
Автор: George G. Lorentz; Manfred v. Golitschek; Yuly Mak Название: Constructive Approximation ISBN: 3642646107 ISBN-13(EAN): 9783642646102 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the last 30 years, Approximation Theory has undergone wonderful develop- ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G.
Автор: SCHEMPP; ZELLER Название: Multivariate Approximation Theory III ISBN: 3034899955 ISBN-13(EAN): 9783034899956 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods.
Автор: K. Glashoff; S.-A. Gustafson Название: Linear Optimization and Approximation ISBN: 0387908579 ISBN-13(EAN): 9780387908571 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A linear optimization problem is the task of minimizing a linear real-valued function of finitely many variables subject to linear con- straints;
Автор: Gregory E. Fasshauer; Larry L. Schumaker Название: Approximation Theory XIV: San Antonio 2013 ISBN: 3319346946 ISBN-13(EAN): 9783319346946 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas.
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