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Author: S.S. Kutateladze
Publisher: CRC Press
Published: 2010-12-12
Total Pages: 400
ISBN-13: 1420050125
DOWNLOAD EBOOK →This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.
Author: Abul Hasan Siddiqi
Publisher: CRC Press
Published: 2003-09-19
Total Pages: 614
ISBN-13: 9780203913017
DOWNLOAD EBOOK →The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and n
Author: S.S. Kutateladze
Publisher: CRC Press
Published: 1996-02-19
Total Pages: 408
ISBN-13: 9782884490139
DOWNLOAD EBOOK →The first volume to comprehensively discuss the range of methods available for the analysis of organic compounds in soils, river and marine sediments and industrial sludges. It commences with a review of the instrumentation used in soil and sediment laboratories and indicates the types of organics that can be determined by each technique. Subsequent chapters discuss the analysis of various types of organics in a logical and systematic manner. It provides guidance on the applicability of techniques in certain environments, the advantages and disadvantages of using one method over another, likel.
Author: S.S. Kutateladze
Publisher: CRC Press
Published: 2010-12-12
Total Pages: 408
ISBN-13: 9781420050127
DOWNLOAD EBOOK →This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.
Author: R. S. Varga
Publisher: SIAM
Published: 1971-01-01
Total Pages: 81
ISBN-13: 9781611970647
DOWNLOAD EBOOK →Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis.
Author: Theodore V., II Hromadka
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 259
ISBN-13: 1447120205
DOWNLOAD EBOOK →With the overwhelming use of computers in engineering, science and physics, the approximate solution of complex mathematical systems of equations is almost commonplace. The Best Approximation Method unifies many of the numerical methods used in computational mechanics. Nevertheless, despite the vast quantities of synthetic data there is still some doubt concerning the validity and accuracy of these approximations. This publication assists the computer modeller in his search for the best approximation by presenting functional analysis concepts. Computer programs are provided which can be used by readers with FORTRAN capability. The classes of problems examined include engineering applications, applied mathematics, numerical analysis and computational mechanics. The Best Approximation Method in Computational Mechanics serves as an introduction to functional analysis and mathematical analysis of computer modelling algorithms. It makes computer modellers aware of already established principles and results assembled in functional analysis.
Author: John Michael Rassias
Publisher: World Scientific
Published: 1994
Total Pages: 342
ISBN-13: 9789810207373
DOWNLOAD EBOOK →This book consists of papers written by outstanding mathematicians. It deals with both theoretical and applied aspects of the mathematical contributions of BANACH, ULAM, and OSTROWSKI, which broaden the horizons of Functional Analysis, Approximation Theory, and Numerical Analysis in accordance with contemporary mathematical standards.
Author:
Publisher: Academic Press
Published: 1977-08-24
Total Pages: 322
ISBN-13: 9780080956411
DOWNLOAD EBOOK →In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author: Kendall Atkinson
Publisher: Springer Science & Business Media
Published: 2007-06-07
Total Pages: 583
ISBN-13: 0387287698
DOWNLOAD EBOOK →Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.
Author: Theodore V., II Hromadka
Publisher: Springer
Published: 2011-12-12
Total Pages: 250
ISBN-13: 9781447120216
DOWNLOAD EBOOK →With the overwhelming use of computers in engineering, science and physics, the approximate solution of complex mathematical systems of equations is almost commonplace. The Best Approximation Method unifies many of the numerical methods used in computational mechanics. Nevertheless, despite the vast quantities of synthetic data there is still some doubt concerning the validity and accuracy of these approximations. This publication assists the computer modeller in his search for the best approximation by presenting functional analysis concepts. Computer programs are provided which can be used by readers with FORTRAN capability. The classes of problems examined include engineering applications, applied mathematics, numerical analysis and computational mechanics. The Best Approximation Method in Computational Mechanics serves as an introduction to functional analysis and mathematical analysis of computer modelling algorithms. It makes computer modellers aware of already established principles and results assembled in functional analysis.
