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Diffraction By An Immersed Elastic Wedge
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Book Synopsis Diffraction by an Immersed Elastic Wedge by : Jean-Pierre Croisille
Download or read book Diffraction by an Immersed Elastic Wedge written by Jean-Pierre Croisille and published by Springer. This book was released on 2006-11-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected with the coupled linear problem elasticity/fluid by the wedge interface. This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles. The method can be applied to any problem of coupled waves by a wedge interface. This work is of interest for any researcher concerned with high frequency wave scattering, especially mathematicians, acousticians, engineers.
Author :Jean-Pierre Croisille Publisher :Springer Science & Business Media ISBN 13 :9783540668107 Total Pages :146 pages Book Rating :4.6/5 (681 download)
Book Synopsis Diffraction by an Immersed Elastic Wedge by : Jean-Pierre Croisille
Download or read book Diffraction by an Immersed Elastic Wedge written by Jean-Pierre Croisille and published by Springer Science & Business Media. This book was released on 1999-12-15 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series reports on new developments in mathematical research and teaching - quickly, informally and at a high level. The type of material considered for publication includes 1. Research monographs 2. Lectures on a new field or presentations of a new angle in a classical field 3. Summer schools and intensive courses on topics of current research. Texts which are out of print but still in demand may also be considered. The timeliness of a manuscript is sometimes more important than its form, which might be preliminary or tentative. Details of the editorial policy can be found on the inside front-cover of a current volume. Manuscripts should be submitted in camera-ready form according to Springer-Verlag's specification: technical instructions will be sent on request. TEX macros may be found at: http://www.springer.de/math/authors/b- tex.html Select the version of TEX you use and then click on "Monographs". A subject index should be included. We recommend contacting the publisher or the series editors at an early stage of your project. Addresses are given on the inside back-cover.
Book Synopsis Scattering and Diffraction by Wedges 2 by : Vito G. Daniele
Download or read book Scattering and Diffraction by Wedges 2 written by Vito G. Daniele and published by John Wiley & Sons. This book was released on 2020-10-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has a dual purpose. The first is to expose a general methodology to solve problems of electromagnetism in geometries constituted of angular regions. The second is to bring the solutions of some canonical problems of fundamental importance in modern electromagnetic engineering with the use of the Wiener-Hopf technique. In particular, the general mathematical methodology is very ingenious and original. It is based on sophisticated and attractive procedures exploiting simple and advanced properties of analytical functions. Once the reader has acquired the methodology, she/he can easily obtain the solution of the canonical problems reported in the book. The book can be appealing also to readers who are not directly interested in the detailed mathematical methodology and/ or in electromagnetics. In fact the same methodology can be extended to acoustics and elasticity problems. Moreover, the proposed practical problems with their solutions constitute a list of reference solutions and can be of interests in engineering production in the field of radio propagations, electromagnetic compatibility and radar technologies.
Book Synopsis Diffraction by an Immersed Elastic Wedge by : Jean-Pierre Croisille
Download or read book Diffraction by an Immersed Elastic Wedge written by Jean-Pierre Croisille and published by . This book was released on 2014-01-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Unified Approach to Boundary Value Problems by : Athanassios S. Fokas
Download or read book A Unified Approach to Boundary Value Problems written by Athanassios S. Fokas and published by SIAM. This book was released on 2008-11-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary; integral representations for linear boundary value problems; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs. An epilogue provides a list of problems on which the author's new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions.
Book Synopsis Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids by : Martin Fuchs
Download or read book Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids written by Martin Fuchs and published by Springer Science & Business Media. This book was released on 2000-12-12 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
Book Synopsis Hamiltonian Reduction by Stages by : Jerrold E. Marsden
Download or read book Hamiltonian Reduction by Stages written by Jerrold E. Marsden and published by Springer. This book was released on 2007-06-05 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.
Book Synopsis Loeb Measures in Practice: Recent Advances by : Nigel J. Cutland
Download or read book Loeb Measures in Practice: Recent Advances written by Nigel J. Cutland and published by Springer. This book was released on 2004-10-11 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.
Book Synopsis Forward-Backward Stochastic Differential Equations and their Applications by : Jin Ma
Download or read book Forward-Backward Stochastic Differential Equations and their Applications written by Jin Ma and published by Springer. This book was released on 2007-04-24 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.
Book Synopsis The Method of Approximate Inverse: Theory and Applications by : Thomas Schuster
Download or read book The Method of Approximate Inverse: Theory and Applications written by Thomas Schuster and published by Springer Science & Business Media. This book was released on 2007-05-07 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and financial mathematics. Hence, there is a need for stable and efficient solvers. The book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings such as L2-spaces, Hilbert spaces or spaces of distributions. The performance and functionality of the method is demonstrated on several examples from medical imaging and non-destructive testing such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography. The book addresses graduate students and researchers interested in the numerical analysis of inverse problems and regularization techniques or in efficient solvers for the applications mentioned above.
Book Synopsis Differential Equations Driven by Rough Paths by : Terry J. Lyons
Download or read book Differential Equations Driven by Rough Paths written by Terry J. Lyons and published by Springer. This book was released on 2007-04-25 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory. The goal of these notes, representing a course given by Terry Lyons in 2004, is to provide a straightforward and self supporting but minimalist account of the key results forming the foundation of the theory of rough paths.
Book Synopsis Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures by : Lutz Habermann
Download or read book Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures written by Lutz Habermann and published by Springer Science & Business Media. This book was released on 2000-09-14 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal structures. This book is accessible to readers with basic knowledge in differential geometry and global analysis. It addresses graduates and researchers.
Book Synopsis Computational Mathematics Driven by Industrial Problems by : R. Burkard
Download or read book Computational Mathematics Driven by Industrial Problems written by R. Burkard and published by Springer Science & Business Media. This book was released on 2000-11-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes by very authoritative scientists survey recent advances of mathematics driven by industrial application showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems. The famous David Report underlines that innovative high technology depends crucially for its development on innovation in mathematics. The speakers include three recent presidents of ECMI, one of ECCOMAS (in Europe) and the president of SIAM.
Book Synopsis Iterative Approximation of Fixed Points by : Vasile Berinde
Download or read book Iterative Approximation of Fixed Points written by Vasile Berinde and published by Springer. This book was released on 2007-04-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.
Book Synopsis A Concise Course on Stochastic Partial Differential Equations by : Claudia Prévôt
Download or read book A Concise Course on Stochastic Partial Differential Equations written by Claudia Prévôt and published by Springer. This book was released on 2007-05-26 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach", the "mild solution approach" and the "variational approach". The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach". A large part of necessary background material is included in appendices.
Book Synopsis Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds by : Alexander Isaev
Download or read book Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds written by Alexander Isaev and published by Springer. This book was released on 2007-03-11 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.
Book Synopsis Fluctuation Theory for Lévy Processes by : Ronald A. Doney
Download or read book Fluctuation Theory for Lévy Processes written by Ronald A. Doney and published by Springer. This book was released on 2007-04-25 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lévy processes, that is, processes in continuous time with stationary and independent increments, form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence, laser cooling, and of course finance, where they include particularly important examples having "heavy tails." Their sample path behaviour poses a variety of challenging and fascinating problems, which are addressed in detail.
