Applied Functional Analysis. Approximation Methods and Computers

Applied Functional Analysis. Approximation Methods and Computers

Author: S.S. Kutateladze

Publisher: CRC Press

Published: 2010-12-12

Total Pages: 400

ISBN-13: 1420050125

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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.


Applied Functional Analysis

Applied Functional Analysis

Author: Abul Hasan Siddiqi

Publisher: CRC Press

Published: 2003-09-19

Total Pages: 614

ISBN-13: 9780203913017

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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


Applied Functional Analysis. Approximation Methods and Computers

Applied Functional Analysis. Approximation Methods and Computers

Author: S.S. Kutateladze

Publisher: CRC Press

Published: 2010-12-12

Total Pages: 408

ISBN-13: 9781420050127

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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.


The Best Approximation Method in Computational Mechanics

The Best Approximation Method in Computational Mechanics

Author: Theodore V., II Hromadka

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 259

ISBN-13: 1447120205

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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.


Functional Analysis and Approximation Theory in Numerical Analysis

Functional Analysis and Approximation Theory in Numerical Analysis

Author: R. S. Varga

Publisher: SIAM

Published: 1971-01-01

Total Pages: 81

ISBN-13: 9781611970647

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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.


Theoretical Numerical Analysis

Theoretical Numerical Analysis

Author: Kendall Atkinson

Publisher: Springer Science & Business Media

Published: 2007-06-07

Total Pages: 583

ISBN-13: 0387287698

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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.


The Best Approximation Method in Computational Mechanics

The Best Approximation Method in Computational Mechanics

Author: Theodore V., II Hromadka

Publisher: Springer

Published: 2011-12-12

Total Pages: 250

ISBN-13: 9781447120216

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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.