Functional Analysis Approximation Theory And Numerical Analysis

Functional Analysis  Approximation Theory  and Numerical Analysis PDF
Author: John Michael Rassias
Publisher: World Scientific
ISBN: 9789810207373
Size: 48.77 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 325
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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.

Functional Analysis And Approximation Theory In Numerical Analysis

Functional Analysis and Approximation Theory in Numerical Analysis PDF
Author: R. S. Varga
Publisher: SIAM
ISBN: 0898710030
Size: 80.33 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 76
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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 PDF
Author: Peter Linz
Publisher: Courier Dover Publications
ISBN: 0486833615
Size: 34.36 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 240
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Concise text focuses on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis, and specific topics that illustrate the power and usefulness of theoretical analysis. 1979 edition.

Mathematical Analysis Approximation Theory And Their Applications

Mathematical Analysis  Approximation Theory and Their Applications PDF
Author: Themistocles M. Rassias
Publisher: Springer
ISBN: 3319312812
Size: 65.85 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 741
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Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

Anniversary Volume On Approximation Theory And Functional Analysis

Anniversary Volume on Approximation Theory and Functional Analysis PDF
Author: P. L. Butzer
Publisher: Birkhäuser
ISBN: 3034854323
Size: 30.95 MB
Format: PDF
Category : Juvenile Nonfiction
Languages : en
Pages : 612
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These Proceedings include 42 of the 49 invited conference papers, three papers sub mitted subsequently, and a report devoted to new and unsolved problems based on two special problem sessions and as augmented by later communications from the participants. In addition, there are four short accounts that emphasize the personality of the scholars to whom the proceedings are dedicated. Due to the large number of contributors, the length of the papers had to be restricted. This volume is again devoted to recent significant results obtained in approximation theory, harmonic analysis, functional analysis, and operator theory. The papers solicited include in addition survey articles that not only describe fundamental advances in their subfields, but many also emphasize basic interconnections between the various research areas. They tend to reflect the range of interests of the organizers and of their immediate colleagues and collaborators. The papers have been grouped according to subject matter into ten chapters. Chap ter I, on operator theory, is devoted to certain classes of operators such as contraction, hyponormal, and accretive operators, as well as to suboperators and semi groups of operators. Chapter II, on functional analysis, contains papers on function spaces, algebras, ideals, and generalized functions. Chapter III, on abstract approximation, is concerned with the comparison of approximation processes, the gliding hump method, certain inter polation spaces, and n-widths.

Theoretical Numerical Analysis

Theoretical Numerical Analysis PDF
Author: Kendall Atkinson
Publisher: Springer Science & Business Media
ISBN: 1441904581
Size: 34.23 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 625
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This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003

Functional Analysis

Functional Analysis PDF
Author: Klaus D. Bierstedt
Publisher: CRC Press
ISBN: 9780824790660
Size: 19.97 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 552
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These proceedings from the Symposium on Functional Analysis explore advances in the usually separate areas of semigroups of operators and evolution equations, geometry of Banach spaces and operator ideals, and Frechet spaces with applications in partial differential equations.

Nonlinear Analysis

Nonlinear Analysis PDF
Author: Qamrul Hasan Ansari
Publisher: Springer
ISBN: 8132218833
Size: 77.80 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 352
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Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Computational Mathematics And Variational Analysis

Computational Mathematics and Variational Analysis PDF
Author: Nicholas J. Daras
Publisher: Springer Nature
ISBN: 3030446255
Size: 63.89 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 568
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This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Distribution Theory For Tests Based On Sample Distribution Function

Distribution Theory for Tests Based on Sample Distribution Function PDF
Author: J. Durbin
Publisher: SIAM
ISBN: 0898710073
Size: 80.36 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 64
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Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.

Variational Methods For Eigenvalue Approximation

Variational Methods for Eigenvalue Approximation PDF
Author: H. F. Weinberger
Publisher: SIAM
ISBN: 089871012X
Size: 80.80 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 160
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Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships.

Orthogonal Polynomials And Special Functions

Orthogonal Polynomials and Special Functions PDF
Author: Richard Askey
Publisher: SIAM
ISBN: 0898710189
Size: 73.91 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 110
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This volume presents the idea that one studies orthogonal polynomials and special functions to use them to solve problems.

Robust Statistical Procedures

Robust Statistical Procedures PDF
Author: Peter J. Huber
Publisher: SIAM
ISBN: 089871379X
Size: 48.32 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 67
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Modern Historiographyis the essential introduction to the history of historical writing. It explains the broad philosophical background to the different historians and historical schools of the modern era. In a unique overview of modern historiography, the book includes surveys on the Enlightenment and Counter Enlightenment; Romanticism; the voice of Science and the process of secularization within Western intellectual thought; the influence of, and broadening contact with, the New World; theAnnalesschool in France; and the effects of the repression and exile of the inter-war years and the Post-War 'moods.'Modern Historiographyprovides a clear and concise account of this modern period of historical writing.

The Mathematics Of Diffusion

The Mathematics of Diffusion PDF
Author: Wei-Ming Ni
Publisher: SIAM
ISBN: 1611971969
Size: 18.17 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 110
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Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements and spatial heterogeneity in the classical Lotka–Volterra competition systems. Interspersed throughout the book are many simple, fundamental and important open problems for readers to investigate.