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Author : Catharine Vetter Alvarez
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (34 download)
Download or read book Inverse Nodal Problems Wth Mixed Boundary Conditions written by Catharine Vetter Alvarez and published by . This book was released on 1998 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ole H. Hald
Publisher : American Mathematical Soc.
ISBN 13 : 0821804863
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)
Download or read book Inverse Nodal Problems: Finding the Potential from Nodal Lines written by Ole H. Hald and published by American Mathematical Soc.. This book was released on 1996 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we consider an eigenvalue problem which arises in the study of rectangular membranes. The mathematical model is an elliptic equation, in potential form, with Dirichlet boundary conditions. We show that the potential is uniquely determined, up to an additive constant, by a subset of the nodal lines of the eigenfunctions. A formula is shown which, when the additive constant is given, yields an approximation to the potential at a dense set of points. We present an estimate for the error made by the formula. A substantial part of this work is the derivation of the asymptotic forms for a rich set of eigenvalues and eigenfunctions for a large set of rectangles.
Author : Pekka Neittaanmäki
Publisher : Oxford University Press
ISBN 13 : 9780198593836
Total Pages : 388 pages
Book Rating : 4.5/5 (938 download)
Download or read book Inverse Problems and Optimal Design in Electricity and Magnetism written by Pekka Neittaanmäki and published by Oxford University Press. This book was released on 1996-01-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The impact of optimization methods in electromagnetism has been much less than in mechanical engineering and particularly the solution of inverse problems in structural mechanics. This book addresses this omission: it will serve as a guide to the theory as well as the computer implementation of solutions. It is self-contained covering all the mathematical theory necessary.
Author : Jeremy E. Chamberlain
Publisher :
ISBN 13 : 9781321549676
Total Pages : 100 pages
Book Rating : 4.5/5 (496 download)
Download or read book Nodal Solutions of Nonlocal Integral Boundary Value Problems written by Jeremy E. Chamberlain and published by . This book was released on 2014 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we study the nonlinear, non-local boundary value problem consisting of the second order equation -( p(t)y') ' + q(t) = w( t)f(y) on [a,b] and one of two boundary conditions involving a Riemann-Stieltjes integral. By relating the problems to the eigenvalues of the corresponding linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions to these problems. The shooting method and a generalized energy function are used to prove the main results. We also discuss the changes in the existence of different types of nodal solutions as the problem changes. Finally, we examine a more general differential equation with multiple terms on the right hand side.
Author : Alexander Kachalov
Publisher : CRC Press
ISBN 13 : 9781420036220
Total Pages : 312 pages
Book Rating : 4.0/5 (362 download)
Download or read book Inverse Boundary Spectral Problems written by Alexander Kachalov and published by CRC Press. This book was released on 2001-07-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse boundary problems are a rapidly developing area of applied mathematics with applications throughout physics and the engineering sciences. However, the mathematical theory of inverse problems remains incomplete and needs further development to aid in the solution of many important practical problems. Inverse Boundary Spectral Problems
Author : Edward B Curtis
Publisher : World Scientific
ISBN 13 : 9814493821
Total Pages : 198 pages
Book Rating : 4.8/5 (144 download)
Download or read book Inverse Problems For Electrical Networks written by Edward B Curtis and published by World Scientific. This book was released on 2000-03-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very timely exposition of part of an important subject which goes under the general name of “inverse problems”. The analogous problem for continuous media has been very much studied, with a great deal of difficult mathematics involved, especially partial differential equations. Some of the researchers working on the inverse conductivity problem for continuous media (the problem of recovering the conductivity inside from measurements on the outside) have taken an interest in the authors' analysis of this similar problem for resistor networks.The authors' treatment of inverse problems for electrical networks is at a fairly elementary level. It is accessible to advanced undergraduates, and mathematics students at the graduate level. The topics are of interest to mathematicians working on inverse problems, and possibly to electrical engineers. A few techniques from other areas of mathematics have been brought together in the treatment. It is this amalgamation of such topics as graph theory, medial graphs and matrix algebra, as well as the analogy to inverse problems for partial differential equations, that makes the book both original and interesting.
Author : Boris Moiseevič Levitan
Publisher : VSP
ISBN 13 : 9789067640558
Total Pages : 258 pages
Book Rating : 4.6/5 (45 download)
Download or read book Inverse Sturm-Liouville Problems written by Boris Moiseevič Levitan and published by VSP. This book was released on 1987 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest in inverse problems of spectral analysis has increased considerably in recent years due to the applications to important non-linear equations in mathematical physics. This monograph is devoted to the detailed theory of inverse problems and methods of their solution for the Sturm-Liouville case. Chapters 1--6 contain proofs which are, in many cases, very different from those known earlier. Chapters 4--6 are devoted to inverse problems of quantum scattering theory with attention being focused on physical applications. Chapters 7--11 are based on the author's recent research on the theory of finite- and infinite-zone potentials. A chapter discussing the applications to the Korteweg--de Vries problem is also included. This monograph is important reading for all researchers in the field of mathematics and physics.
Author : Jin Keun Seo
Publisher : John Wiley & Sons
ISBN 13 : 1118478150
Total Pages : 379 pages
Book Rating : 4.1/5 (184 download)
Download or read book Nonlinear Inverse Problems in Imaging written by Jin Keun Seo and published by John Wiley & Sons. This book was released on 2012-11-16 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides researchers and engineers in the imaging field with the skills they need to effectively deal with nonlinear inverse problems associated with different imaging modalities, including impedance imaging, optical tomography, elastography, and electrical source imaging. Focusing on numerically implementable methods, the book bridges the gap between theory and applications, helping readers tackle problems in applied mathematics and engineering. Complete, self-contained coverage includes basic concepts, models, computational methods, numerical simulations, examples, and case studies. Provides a step-by-step progressive treatment of topics for ease of understanding. Discusses the underlying physical phenomena as well as implementation details of image reconstruction algorithms as prerequisites for finding solutions to non linear inverse problems with practical significance and value. Includes end of chapter problems, case studies and examples with solutions throughout the book. Companion website will provide further examples and solutions, experimental data sets, open problems, teaching material such as PowerPoint slides and software including MATLAB m files. Essential reading for Graduate students and researchers in imaging science working across the areas of applied mathematics, biomedical engineering, and electrical engineering and specifically those involved in nonlinear imaging techniques, impedance imaging, optical tomography, elastography, and electrical source imaging
Author : Michel Chipot
Publisher : Elsevier
ISBN 13 : 0080560598
Total Pages : 618 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Differential Equations: Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2011-08-11 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems. * Collection of self-contained, state-of-the-art surveys * Written by well-known experts in the field * Informs and updates on all the latest developments
Author :
Publisher : Editora E-papers
ISBN 13 : 8576500299
Total Pages : 365 pages
Book Rating : 4.5/5 (765 download)
Download or read book Inverse Problems, Design and Optimization - vol. 1 written by and published by Editora E-papers. This book was released on with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 772 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1970 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William E. Boyce
Publisher : John Wiley & Sons
ISBN 13 : 1119443768
Total Pages : 624 pages
Book Rating : 4.1/5 (194 download)
Download or read book Elementary Differential Equations and Boundary Value Problems written by William E. Boyce and published by John Wiley & Sons. This book was released on 2017-08-21 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Differential Equations and Boundary Value Problems 11e, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
Author :
Publisher :
ISBN 13 :
Total Pages : 902 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexandre Girouard
Publisher : American Mathematical Soc.
ISBN 13 : 147042665X
Total Pages : 298 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometric and Computational Spectral Theory written by Alexandre Girouard and published by American Mathematical Soc.. This book was released on 2017-10-30 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A co-publication of the AMS and Centre de Recherches Mathématiques The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Séminaire de Mathématiques Supérieures on Geometric and Computational Spectral Theory, held from June 15–26, 2015, at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the interplay between the two.
Author : W. Minkowycz
Publisher : CRC Press
ISBN 13 : 9781560324416
Total Pages : 456 pages
Book Rating : 4.3/5 (244 download)
Download or read book Advances In Numerical Heat Transfer written by W. Minkowycz and published by CRC Press. This book was released on 1996-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume in the series. It analyzes several fundamental methodology issues in numerical heat transfer and fluid flow and identifies certain areas of active application. The finite-volume approach is presented with the finite-element methods as well as with energy balance analysis. Applications include the latest development in turbulence modeling and current approaches to inverse problems.
Author : Y. K. Cheung
Publisher : Elsevier
ISBN 13 : 1483278549
Total Pages : 248 pages
Book Rating : 4.4/5 (832 download)
Download or read book Finite Strip Method in Structural Analysis written by Y. K. Cheung and published by Elsevier. This book was released on 2013-10-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Strip Method in Structural Analysis is a concise introduction to the theory of the finite strip method and its application to structural engineering, with special reference to practical structures such as slab bridges and box girder bridges. Topics covered include the bending of plates and plate-beam systems, with application to slab-beam bridges; plane stress analysis; vibration and stability of plates and shells; and finite layer and finite prism methods. Comprised of eight chapters, this book begins with an overview of the theory of the finite strip method, highlighting the importance of the choice of suitable displacement functions for a strip as well as the formulation of strip characteristics. Subsequent chapters consider many different types of finite strips for plate and shell problems and present numerical examples. The extension of the finite strip method to three-dimensional problems is then described, with emphasis on the finite layer method and the finite prism method. The final chapter discusses some computer methods that are commonly used in structural analysis. A folded plate computer program is included for completeness, and a detailed description for a worked problem is also presented for the sake of clarity. This monograph will be of interest to civil and structural engineers.
Author : Keith A. Woodbury
Publisher : CRC Press
ISBN 13 : 1420041614
Total Pages : 481 pages
Book Rating : 4.4/5 (2 download)
Download or read book Inverse Engineering Handbook written by Keith A. Woodbury and published by CRC Press. This book was released on 2002-09-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems have been the focus of a growing number of research efforts over the last 40 years-and rightly so. The ability to determine a "cause" from an observed "effect" is a powerful one. Researchers now have at their disposal a variety of techniques for solving inverse problems, techniques that go well beyond those useful for relatively si
