Numerical Methods And Inequalities In Function Spaces

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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

Author : Michael Ulbrich
Publisher : SIAM
ISBN 13 : 1611970687
Total Pages : 315 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces by : Michael Ulbrich

Download or read book Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces written by Michael Ulbrich and published by SIAM. This book was released on 2011-07-28 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.

Theoretical Numerical Analysis

Author : Kendall Atkinson
Publisher : Springer Science & Business Media
ISBN 13 : 0387287698
Total Pages : 583 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Theoretical Numerical Analysis by : Kendall Atkinson

Download or read book Theoretical Numerical Analysis written by Kendall Atkinson and published by Springer Science & Business Media. This book was released on 2007-06-07 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Functional Analysis

Author : Abul Hasan Siddiqi
Publisher : CRC Press
ISBN 13 : 0824756622
Total Pages : 536 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Applied Functional Analysis by : Abul Hasan Siddiqi

Download or read book Applied Functional Analysis written by Abul Hasan Siddiqi and published by CRC Press. This book was released on 2003-09 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 numerical methods in infinite-dimensional spaces. This reference highlights critical studies in projection theorem, Riesz representation theorem, and properties of operators in Hilbert space and covers special classes of optimization problems. Supported by 2200 display equations, this guide incorporates hundreds of up-to-date citations.

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Author : Haim Brezis
Publisher : Springer Science & Business Media
ISBN 13 : 0387709142
Total Pages : 600 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis

Download or read book Functional Analysis, Sobolev Spaces and Partial Differential Equations written by Haim Brezis and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Functional and Numerical Methods in Viscoplasticity

Author : Ioan R. Ionescu
Publisher : Clarendon Press
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Functional and Numerical Methods in Viscoplasticity by : Ioan R. Ionescu

Download or read book Functional and Numerical Methods in Viscoplasticity written by Ioan R. Ionescu and published by Clarendon Press. This book was released on 1993 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies problems of viscoplasticity using various and different mathematical methods. The mathematical results obtained are carefully interpreted from a mechanical point of view. The theory is developed to deal with numerical results from practical problems in industry and technology.

Elliptic Problems in Nonsmooth Domains

Author : Pierre Grisvard
Publisher : SIAM
ISBN 13 : 1611972027
Total Pages : 426 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Elliptic Problems in Nonsmooth Domains by : Pierre Grisvard

Download or read book Elliptic Problems in Nonsmooth Domains written by Pierre Grisvard and published by SIAM. This book was released on 2011-10-20 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Boston: Pitman Advanced Pub. Program, 1985.

Numerical Analysis and Optimization

Author : Mehiddin Al-Baali
Publisher : Springer
ISBN 13 : 3319176897
Total Pages : 351 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Numerical Analysis and Optimization by : Mehiddin Al-Baali

Download or read book Numerical Analysis and Optimization written by Mehiddin Al-Baali and published by Springer. This book was released on 2015-07-16 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the latest findings in the field of numerical analysis and optimization, this volume balances pure research with practical applications of the subject. Accompanied by detailed tables, figures, and examinations of useful software tools, this volume will equip the reader to perform detailed and layered analysis of complex datasets. Many real-world complex problems can be formulated as optimization tasks. Such problems can be characterized as large scale, unconstrained, constrained, non-convex, non-differentiable, and discontinuous, and therefore require adequate computational methods, algorithms, and software tools. These same tools are often employed by researchers working in current IT hot topics such as big data, optimization and other complex numerical algorithms on the cloud, devising special techniques for supercomputing systems. The list of topics covered include, but are not limited to: numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, algorithms and software developments, derivative free optimization methods and programming models. The volume also examines challenging applications to various types of computational optimization methods which usually occur in statistics, econometrics, finance, physics, medicine, biology, engineering and industrial sciences.

Sobolev Spaces in Mathematics I

Author : Vladimir Maz'ya
Publisher : Springer
ISBN 13 : 9781441927576
Total Pages : 0 pages
Book Rating : 4.9/5 (275 download)

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Book Synopsis Sobolev Spaces in Mathematics I by : Vladimir Maz'ya

Download or read book Sobolev Spaces in Mathematics I written by Vladimir Maz'ya and published by Springer. This book was released on 2010-11-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume mark’s the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.

Theory Of Difference Equations Numerical Methods And Applications

Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 9780203910290
Total Pages : 328 pages
Book Rating : 4.9/5 (12 download)

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Book Synopsis Theory Of Difference Equations Numerical Methods And Applications by : V. Lakshmikantham

Download or read book Theory Of Difference Equations Numerical Methods And Applications written by V. Lakshmikantham and published by CRC Press. This book was released on 2002-06-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Numerical Analysis of Wavelet Methods

Author : A. Cohen
Publisher : Elsevier
ISBN 13 : 0080537855
Total Pages : 357 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Numerical Analysis of Wavelet Methods by : A. Cohen

Download or read book Numerical Analysis of Wavelet Methods written by A. Cohen and published by Elsevier. This book was released on 2003-04-29 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are:1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions.2. Full treatment of the theoretical foundations that are crucial for the analysisof wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory.3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.

Numerical Methods in Scientific Computing

Author : Germund Dahlquist
Publisher : SIAM
ISBN 13 : 0898717787
Total Pages : 742 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Numerical Methods in Scientific Computing by : Germund Dahlquist

Download or read book Numerical Methods in Scientific Computing written by Germund Dahlquist and published by SIAM. This book was released on 2008-01-01 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.

Numerical Methods for Special Functions

Author : Amparo Gil
Publisher : SIAM
ISBN 13 : 9780898717822
Total Pages : 431 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Numerical Methods for Special Functions by : Amparo Gil

Download or read book Numerical Methods for Special Functions written by Amparo Gil and published by SIAM. This book was released on 2007-01-01 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Padé approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).

Deterministic and Stochastic Optimal Control and Inverse Problems

Author : Baasansuren Jadamba
Publisher : CRC Press
ISBN 13 : 1000511758
Total Pages : 378 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Deterministic and Stochastic Optimal Control and Inverse Problems by : Baasansuren Jadamba

Download or read book Deterministic and Stochastic Optimal Control and Inverse Problems written by Baasansuren Jadamba and published by CRC Press. This book was released on 2021-12-15 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations. This edited volume comprises invited contributions from world-renowned researchers in the subject of control and inverse problems. There are several contributions on optimal control and inverse problems covering different aspects of the theory, numerical methods, and applications. Besides a unified presentation of the most recent and relevant developments, this volume also presents some survey articles to make the material self-contained. To maintain the highest level of scientific quality, all manuscripts have been thoroughly reviewed.

Functional Analysis, Approximation Theory, and Numerical Analysis

Author : John Michael Rassias
Publisher : World Scientific
ISBN 13 : 9789810207373
Total Pages : 342 pages
Book Rating : 4.2/5 (73 download)

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Book Synopsis Functional Analysis, Approximation Theory, and Numerical Analysis by : John Michael Rassias

Download or read book Functional Analysis, Approximation Theory, and Numerical Analysis written by John Michael Rassias and published by World Scientific. This book was released on 1994 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Analysis and Numerical Methods for Science and Technology

Author : Robert Dautray
Publisher : Springer Science & Business Media
ISBN 13 : 3642615317
Total Pages : 503 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Mathematical Analysis and Numerical Methods for Science and Technology by : Robert Dautray

Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Functional Analysis and Applications

Author : Abul Hasan Siddiqi
Publisher : Springer
ISBN 13 : 9811037256
Total Pages : 566 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Functional Analysis and Applications by : Abul Hasan Siddiqi

Download or read book Functional Analysis and Applications written by Abul Hasan Siddiqi and published by Springer. This book was released on 2018-05-04 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.