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Moment Theory And Some Inverse Problems In Potential Theory And Heat Conduction
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Book Synopsis Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction by : Dang D. Ang
Download or read book Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction written by Dang D. Ang and published by Springer. This book was released on 2004-10-14 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.
Book Synopsis Continuum Theory and Modeling of Thermoelectric Elements by : Christophe Goupil
Download or read book Continuum Theory and Modeling of Thermoelectric Elements written by Christophe Goupil and published by John Wiley & Sons. This book was released on 2016-02-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sound knowledge of the latest research results in the thermodynamics and design of thermoelectric devices, providing a solid foundation for thermoelectric element and module design in the technical development process and thus serving as an indispensable tool for any application development. The text is aimed mainly at the project developer in the field of thermoelectric technology, both in academia and industry, as well as at graduate and advanced undergraduate students. Some core sections address the specialist in the field of thermoelectric energy conversion, providing detailed discussion of key points with regard to optimization. The international team of authors with experience in thermoelectrics research represents such institutes as EnsiCaen Universite de Paris, JPL, CalTech, and the German Aerospace Center.
Book Synopsis Stable Approximate Evaluation of Unbounded Operators by : C. W. Groetsch
Download or read book Stable Approximate Evaluation of Unbounded Operators written by C. W. Groetsch and published by Springer Science & Business Media. This book was released on 2007 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.
Book Synopsis New Trends in Analysis and Interdisciplinary Applications by : Pei Dang
Download or read book New Trends in Analysis and Interdisciplinary Applications written by Pei Dang and published by Birkhäuser. This book was released on 2017-04-18 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.
Book Synopsis Difference Equations, Discrete Dynamical Systems and Applications by : Lluís Alsedà i Soler
Download or read book Difference Equations, Discrete Dynamical Systems and Applications written by Lluís Alsedà i Soler and published by Springer. This book was released on 2016-10-22 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference equations and discrete dynamical systems, as well as the interplay between difference equations and dynamical systems. The conference was organized by the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB) under the auspices of the International Society of Difference Equations (ISDE) and held in Barcelona (Catalonia, Spain) in July 2012. Its purpose was to bring together experts and novices in these fields to discuss the latest developments. The book gathers contributions in the field of combinatorial and topological dynamics, complex dynamics, applications of difference equations to biology, chaotic linear dynamics, economic dynamics and control and asymptotic behavior, and periodicity of difference equations. As such it is of interest to researchers and scientists engaged in the theory and applications of difference equations and discrete dynamical systems.
Book Synopsis Noncommutative Gröbner Bases and Filtered-Graded Transfer by : Huishi Li
Download or read book Noncommutative Gröbner Bases and Filtered-Graded Transfer written by Huishi Li and published by Springer Science & Business Media. This book was released on 2002-10-23 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.
Book Synopsis A Nonlinear Transfer Technique for Renorming by : Aníbal Moltó
Download or read book A Nonlinear Transfer Technique for Renorming written by Aníbal Moltó and published by Springer Science & Business Media. This book was released on 2009 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces. The book offers new techniques for renorming problems, all of them based on a network analysis for the topologies involved inside the problem. Maps from a normed space X to a metric space Y, which provide locally uniformly rotund renormings on X, are studied and a new frame for the theory is obtained, with interplay between functional analysis, optimization and topology using subdifferentials of Lipschitz functions and covering methods of metrization theory. Any one-to-one operator T from a reflexive space X into c0 (T) satisfies the authors' conditions, transferring the norm to X. Nevertheless the authors' maps can be far from linear, for instance the duality map from X to X* gives a non-linear example when the norm in X is Fréchet differentiable. This volume will be interesting for the broad spectrum of specialists working in Banach space theory, and for researchers in infinite dimensional functional analysis.
Book Synopsis Transseries and Real Differential Algebra by : Joris van der Hoeven
Download or read book Transseries and Real Differential Algebra written by Joris van der Hoeven and published by Springer. This book was released on 2006-10-31 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.
Book Synopsis Advanced Mechatronics by : Dan Necsulescu
Download or read book Advanced Mechatronics written by Dan Necsulescu and published by World Scientific. This book was released on 2009 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book extends mechatronics to spatially distributed systems. Issues regarding remote measurements and indirect monitoring and control of distributed systems is presented in the general framework of the recently developed ill-posed inverse problems. The book starts with an overview of the main results in the inverse problem theory and continues with the presentation of basic results in discrete inverse theory. The second part presents various forward and inverse problems resulting from modeling, monitoring and controlling mechanical, acoustic, fluid and thermal systems. Finally, indirect and remote monitoring and control issues are analyzed as cases of ill-posed inverse problems. Numerous numerical examples illustrate current approaches used for solving practical inverse problems.
Book Synopsis The Art of Random Walks by : Andras Telcs
Download or read book The Art of Random Walks written by Andras Telcs and published by Springer. This book was released on 2006-10-18 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to reveal connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies heat diffusion at this general level and discusses the multiplicative Einstein relation; Isoperimetric inequalities; and Heat kernel estimates; Elliptic and parabolic Harnack inequality.
Book Synopsis Introduction to Symplectic Dirac Operators by : Katharina Habermann
Download or read book Introduction to Symplectic Dirac Operators written by Katharina Habermann and published by Springer. This book was released on 2006-10-28 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.
Book Synopsis Orthogonal Polynomials and Special Functions by : Francisco Marcellàn
Download or read book Orthogonal Polynomials and Special Functions written by Francisco Marcellàn and published by Springer. This book was released on 2006-10-18 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? The present set of lecture notes contains seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions.
Book Synopsis Open Quantum Systems III by : Stéphane Attal
Download or read book Open Quantum Systems III written by Stéphane Attal and published by Springer. This book was released on 2006-08-18 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the third and last of a series devoted to the lecture notes of the Grenoble Summer School on “Open Quantum Systems” which took place at the th th Institut Fourier from June 16 to July 4 2003. The contributions presented in this volumecorrespondtoexpanded versionsofthelecturenotesprovidedbytheauthors to the students of the Summer School. The corresponding lectures were scheduled in the last part of the School devoted to recent developments in the study of Open Quantum Systems. Whereas the rst two volumes were dedicated to a detailed exposition of the mathematical techniques and physical concepts relevant in the study of Open S- tems with noapriori pre-requisites, the contributions presented in this volume request from the reader some familiarity with these aspects. Indeed, the material presented here aims at leading the reader already acquainted with the basics in ? quantum statistical mechanics, spectral theory of linear operators,C -dynamical systems, and quantum stochastic differential equations to the front of the current research done on various aspects of Open Quantum Systems. Nevertheless, pe- gogical efforts have been made by the various authors of these notes so that this volume should be essentially self-contained for a reader with minimal previous - posure to the themes listed above. In any case, the reader in need of complements can always turn to these rst two volumes. The topics covered in these lectures notes start with an introduction to n- equilibrium quantum statistical mechanics.
Book Synopsis Asymptotics for Dissipative Nonlinear Equations by : Nakao Hayashi
Download or read book Asymptotics for Dissipative Nonlinear Equations written by Nakao Hayashi and published by Springer. This book was released on 2006-08-29 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Book Synopsis Open Quantum Systems I by : Stéphane Attal
Download or read book Open Quantum Systems I written by Stéphane Attal and published by Springer. This book was released on 2006-08-18 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.
Book Synopsis Geometric Analysis and PDEs by : Matthew J. Gursky
Download or read book Geometric Analysis and PDEs written by Matthew J. Gursky and published by Springer. This book was released on 2009-07-31 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.
Book Synopsis The Lace Expansion and its Applications by : Gordon Slade
Download or read book The Lace Expansion and its Applications written by Gordon Slade and published by Springer. This book was released on 2006-08-29 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models.
