Автор: Zienkiewicz O. Название: Finite Elements and Approximation ISBN: 0486453014 ISBN-13(EAN): 9780486453019 Издательство: Dover Рейтинг: Цена: 1668 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A marriage of the finite-differences method with variational methods for solving boundary-value problems, the finite-element method is superior in many ways to finite-differences alone. This self-contained text for advanced undergraduates and graduate students is intended to imbed this combination of methods into the framework of functional analysis. 1980 edition.
Автор: Davis, Philip J. Название: Interpolation and Approximation ISBN: 0486624951 ISBN-13(EAN): 9780486624952 Издательство: Dover Рейтинг: Цена: 1919 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Interpolation and approximation offer important applications in computer science and elsewhere. This intermediate-level survey by a noted authority abounds in useful examples of related subjects and has been praised for its level of clarity and reliance on well-presented and useful examples. A brief introductory chapter presents helpful definitions and theorems. Subsequent chapters explore interpolation, remainder theory, convergence theorems for interpolatory processes, and some problems of infinite interpolation. Additional topics include uniform and best approximation, least square approximation, Hilbert space, orthogonal polynomials, the theory of closure and completeness, expansion theorems for orthogonal functions, degree of approximation, and approximation of linear functionals. A familiarity with real and complex variable theory and linear algebra is assumed. 1963 edition.
Автор: Niven Ivan Название: Diophantine Approximations ISBN: 0486462676 ISBN-13(EAN): 9780486462677 Издательство: Dover Рейтинг: Цена: 665 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This self-contained treatment covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both fractional and integral parts. 1963 edition.
Автор: Zienkiewicz, O. Название: Finite Elements and Approximation ISBN: 0486788695 ISBN-13(EAN): 9780486788692 Издательство: Dover Цена: 3340 р. Наличие на складе: Поставка под заказ.
Описание: A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with continuum boundary value problems and the need for numerical discretization, the text examines finite difference methods, weighted residual methods in the context of continuous trial functions, and piecewise defined trial functions and the finite element method. Additional topics include higher order finite element approximation, mapping and numerical integration, variational methods, and partial discretization and time-dependent problems. A survey of generalized finite elements and error estimates concludes the text.
Описание: This graduate-level text offers a concise butwide-ranging introduction to methods of approximating continuous functions by functions depending only on a finite number of parameters. It places particular emphasis on approximation by polynomials andnot only discusses the theoretical underpinnings of many common algorithms but also demonstrates their practical applications. 1969 edition."
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