Operator Theory And Numerical Methods

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Author: H. Fujita
Publisher: Elsevier
ISBN: 9780080538020
Size: 56.94 MB
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Operator Theory And Numerical Methods by H. Fujita


Original Title: Operator Theory And Numerical Methods

In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed. In 1991 an article on the finite element method applied to evolutionary problems was published. Following the method, basically this book studies various schemes from operator theoretical points of view. Many parts are devoted to the finite element method, but other schemes and problems (charge simulation method, domain decomposition method, nonlinear problems, and so forth) are also discussed, motivated by the observation that practically useful schemes have fine mathematical structures and the converses are also true.

Proceedings Of The International Symposium Mtns 89 Signal Processing Scattering And Operator Theory And Numerical Methods

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Author: M. A. Kaashoek
Publisher: Birkhauser
ISBN: 9780817634711
Size: 28.78 MB
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Proceedings Of The International Symposium Mtns 89 Signal Processing Scattering And Operator Theory And Numerical Methods by M. A. Kaashoek


Original Title: Proceedings Of The International Symposium Mtns 89 Signal Processing Scattering And Operator Theory And Numerical Methods


Recent Advances In Operator Theory

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Author: Israel Gohberg
Publisher: Springer Science & Business Media
ISBN: 9783764365738
Size: 80.35 MB
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Recent Advances In Operator Theory by Israel Gohberg


Original Title: Recent Advances In Operator Theory

This book contains 25 papers, most of which were presented, for the first time, at the International Workshop on Operator Theory and its Applications held in Groningen, the Netherlands, from June 30a "July 3, 1998. The topics include dilation and interpolation problems, reproducing kernel spaces, numerical ranges of operators, Riccati equations, harmonic analysis, spectral theory of differential operators and analytic operator functions to scattering of waves. All papers deal with operators in Banach or Hilbert spaces, or in spaces with an indefinite metric. This volume is dedicated to Israel Gohberg, one of the founding fathers of the IWOTA worskhops and an outstanding leader in operator theory. His work had a deep influence on the field and its range of applications. The IWOTA Groningen 1998, the tenth in its series, was a good occasion for a pre-celebration of his 70th birthday. This book also contains the speeches held at the workshop dinner, a review of Israel Gohberga (TM)s contributions to mathematics and a complete list of his publications. The book is of interest to a wide audience of pure and applied mathematicians.

Operator Theory And Its Applications

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Author: Michael Levitin
Publisher: American Mathematical Soc.
ISBN: 0821852728
Size: 60.95 MB
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Operator Theory And Its Applications by Michael Levitin


Original Title: Operator Theory And Its Applications

This book is a collection of articles devoted to the theory of linear operators in Hilbert spaces and its applications. The subjects covered range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity; the stability of numerical methods is also discussed. Many of the articles deal with spectral problems for not necessarily selfadjoint operators. Some of the articles are surveys outlining the current state of the subject and presenting open problems.|This book is a collection of articles devoted to the theory of linear operators in Hilbert spaces and its applications. The subjects covered range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity; the stability of numerical methods is also discussed. Many of the articles deal with spectral problems for not necessarily selfadjoint operators. Some of the articles are surveys outlining the current state of the subject and presenting open problems.

Theory Of Difference Equations Numerical Methods And Applications

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Author: V. Lakshmikantham
Publisher: CRC Press
ISBN: 9780203910290
Size: 38.21 MB
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Theory Of Difference Equations Numerical Methods And Applications by V. Lakshmikantham


Original Title: Theory Of Difference Equations Numerical Methods And Applications

"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."

Nonlinear Feedback Control Systems

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Author: Rui J. P. DeFigueiredo
Publisher: Academic Pr
ISBN:
Size: 19.78 MB
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Nonlinear Feedback Control Systems by Rui J. P. DeFigueiredo


Original Title: Nonlinear Feedback Control Systems

The increasing computational power available to control theorists and engineers is creating an enormous need for theoretical developments in nonlinear systems. In addition, the tools needed for analyzing and developing effective numerical methods for nonlinear problems are extremely difficult to create. This book presents a mathematically oriented introduction to the modern operator-theoretic approach to nonlinear feedback systems for engineers and others who wish tobecome familiar with the field. It presents a basic introduction to one of the two principal approaches to the theory of nonlinear control systems, (the other approach is a differential geometric approach), and assumes only a basic background in real andfunctional analysis. The authors have an outstanding reputation in the field, and the content of the book is timely. Written by foremost researchers in nonlinear analysis Focuses on the operator theory approach -not the differential geometric approach-to nonlinear control systems Covers key topics such as stability theory, robust stabilization in optimal design, factorization theory, and nonlinear system identification Features a chapter on the applications to neural and intelligent control Provides informative chapter exercises

Recent Advances In Operator Theory And Its Applications

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Author: Marinus A. Kaashoek
Publisher: Springer Science & Business Media
ISBN: 3764373989
Size: 67.55 MB
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Recent Advances In Operator Theory And Its Applications by Marinus A. Kaashoek


Original Title: Recent Advances In Operator Theory And Its Applications

This book contains a selection of carefully refereed research papers, most of which were presented at the fourteenth International Workshop on Operator Theory and its Applications (IWOTA), held at Cagliari, Italy, from June 24-27, 2003. The papers, many of which have been written by leading experts in the field, concern a wide variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods. The book will be of interest to a wide audience of pure and applied mathematicians and engineers.

A Panorama Of Modern Operator Theory And Related Topics

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Author: Harry Dym
Publisher: Springer Science & Business Media
ISBN: 3034802218
Size: 62.68 MB
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A Panorama Of Modern Operator Theory And Related Topics by Harry Dym


Original Title: A Panorama Of Modern Operator Theory And Related Topics

This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.

Advances In Harmonic Analysis And Operator Theory

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Author: Alexandre Almeida
Publisher: Springer Science & Business Media
ISBN: 3034805160
Size: 58.19 MB
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Advances In Harmonic Analysis And Operator Theory by Alexandre Almeida


Original Title: Advances In Harmonic Analysis And Operator Theory

This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.

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