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Galerkin Approximation For Inverse Problems For Nonautonomous Nonlinear Distributed Systems
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Book Synopsis Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems by : Han-Xiong Li
Download or read book Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems written by Han-Xiong Li and published by Springer Science & Business Media. This book was released on 2011-02-24 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation approaches. In this book, a systematic overview and classifi cation on the modeling of DPS is presented fi rst, which includes model reduction, parameter estimation and system identifi cation. Next, a class of block-oriented nonlinear systems in traditional lumped parameter systems (LPS) is extended to DPS, which results in the spatio-temporal Wiener and Hammerstein systems and their identifi cation methods. Then, the traditional Volterra model is extended to DPS, which results in the spatio-temporal Volterra model and its identification algorithm. All these methods are based on linear time/space separation. Sometimes, the nonlinear time/space separation can play a better role in modeling of very complex processes. Thus, a nonlinear time/space separation based neural modeling is also presented for a class of DPS with more complicated dynamics. Finally, all these modeling approaches are successfully applied to industrial thermal processes, including a catalytic rod, a packed-bed reactor and a snap curing oven. The work is presented giving a unifi ed view from time/space separation. The book also illustrates applications to thermal processes in the electronics packaging and chemical industry. This volume assumes a basic knowledge about distributed parameter systems, system modeling and identifi cation. It is intended for researchers, graduate students and engineers interested in distributed parameter systems, nonlinear systems, and process modeling and control.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Mathematics & Mathematics Education by : Saber Elaydi
Download or read book Mathematics & Mathematics Education written by Saber Elaydi and published by World Scientific. This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Book Synopsis Estimation Techniques for Distributed Parameter Systems by : H.T. Banks
Download or read book Estimation Techniques for Distributed Parameter Systems written by H.T. Banks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations. Our attempts to apply control theory techniques to such prob lems in several areas of science convinced us that in the need for better and more detailed models of distributed/ continuum processes in biology and mechanics lay a rich, interesting, and challenging class of fundamen tal questions. These questions, which involve science and mathematics, are typical of those arising in inverse or parameter estimation problems. Our efforts on inverse problems for distributed parameter systems, which are infinite dimensional in the most common realizations, began about seven years ago at a time when rapid advances in computing capabilities and availability held promise for significant progress in the development of a practically useful as well as theoretically sound methodology for such problems. Much of the research reported in our presentation was not begun when we outlined the plans for this monograph some years ago. By publishing this monograph now, when only a part of the originally intended topics are covered (see Chapter VII in this respect), we hope to stimulate the research and interest of others in an area of scientific en deavor which has exceeded even our optimistic expectations with respect to excitement, opportunity, and stimulation. The computer revolution alluded to above and the development of new codes allow one to solve rather routinely certain estimation problems that would have been out of the question ten years ago.
Book Synopsis Numerical Studies of Identification in Nonlinear Distributed Parameter Systems by : Institute for Computer Applications in Science and Engineering
Download or read book Numerical Studies of Identification in Nonlinear Distributed Parameter Systems written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1989 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 1990 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematica Japonicae written by and published by . This book was released on 1996 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research Conducted at the Institute for Computer Applications in Science and Engineering in Applied Mathematics, Numerical Analysis and Computer Science by :
Download or read book Research Conducted at the Institute for Computer Applications in Science and Engineering in Applied Mathematics, Numerical Analysis and Computer Science written by and published by . This book was released on 1988 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kybernetika written by and published by . This book was released on 1998 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalogue, United States Public Documents by :
Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1994 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimization and Nonlinear Analysis by : Simeon Reich
Download or read book Optimization and Nonlinear Analysis written by Simeon Reich and published by Chapman and Hall/CRC. This book was released on 1992-07-13 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises the proceedings of the workshop on Optimization and Nonlinear Analysis held at the Technion in March 1990, organized by the Binational US-Israel Scientific Research Fund and the Institute for Advanced Studies in Mathematics at the Technion.
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1988 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems by : H. T. Banks
Download or read book An Approximation Theory for the Identification of Nonlinear Distributed Parameter Systems written by H. T. Banks and published by . This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators(satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified)are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original infinite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato approximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed. Keywords: Nonlinear distributed systems; Numerical analysis; Inverse problems; Approximation. (jhd).
Book Synopsis Cumulative Reports and Publications Through December 31, 1988 by :
Download or read book Cumulative Reports and Publications Through December 31, 1988 written by and published by . This book was released on 1989 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cumulative Reports and Publications Through December 31, 1989 by :
Download or read book Cumulative Reports and Publications Through December 31, 1989 written by and published by . This book was released on 1990 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cumulative Reports and Publications Through December 31, 1994 by :
Download or read book Cumulative Reports and Publications Through December 31, 1994 written by and published by . This book was released on 1995 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
