Diffraction By An Immersed Elastic Wedge
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Diffraction By An Immersed Elastic Wedge
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Author : Jean-Pierre Croisille
language : en
Publisher: Springer
Release Date : 2006-11-15
Diffraction By An Immersed Elastic Wedge written by Jean-Pierre Croisille and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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.
Diffraction By An Immersed Elastic Wedge
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Author : Jean-Pierre Croisille
language : en
Publisher:
Release Date : 2014-01-15
Diffraction By An Immersed Elastic Wedge written by Jean-Pierre Croisille and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Scattering And Diffraction By Wedges 2
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Author : Vito G. Daniele
language : en
Publisher: John Wiley & Sons
Release Date : 2020-10-09
Scattering And Diffraction By Wedges 2 written by Vito G. Daniele and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-09 with Technology & Engineering categories.
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.
The Wave Diffracted By A Wedge With Mixed Boundary Conditions
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Author : Olivier Lafitte
language : en
Publisher:
Release Date : 2002
The Wave Diffracted By A Wedge With Mixed Boundary Conditions written by Olivier Lafitte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Boundary value problems categories.
This monograph studies the diffraction of a wave by a curved wedge on the plane in the case where each side of the wedge is characterized by a mixed boundary condition of impedance type. This book is suitable for graduate students and researchers interested in partial differential equations, in particular in diffraction theory and its applications to problems in physics.
A Unified Approach To Boundary Value Problems
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Author : Athanassios S. Fokas
language : en
Publisher: SIAM
Release Date : 2008-11-06
A Unified Approach To Boundary Value Problems written by Athanassios S. Fokas and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-06 with Mathematics categories.
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.
The Method Of Approximate Inverse Theory And Applications
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Author : Thomas Schuster
language : en
Publisher: Springer
Release Date : 2007-04-26
The Method Of Approximate Inverse Theory And Applications written by Thomas Schuster and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-26 with Mathematics categories.
This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.
A Concise Course On Stochastic Partial Differential Equations
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Author : Claudia Prévôt
language : en
Publisher: Springer
Release Date : 2007-05-26
A Concise Course On Stochastic Partial Differential Equations written by Claudia Prévôt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Mathematics categories.
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.
Attractivity And Bifurcation For Nonautonomous Dynamical Systems
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Author : Martin Rasmussen
language : en
Publisher: Springer
Release Date : 2007-05-26
Attractivity And Bifurcation For Nonautonomous Dynamical Systems written by Martin Rasmussen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-26 with Mathematics categories.
Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions.
Hamiltonian Reduction By Stages
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Author : Jerrold E. Marsden
language : en
Publisher: Springer
Release Date : 2007-06-05
Hamiltonian Reduction By Stages written by Jerrold E. Marsden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-05 with Mathematics categories.
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.
Computational Mathematics Driven By Industrial Problems
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Author : R. Burkard
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-11-16
Computational Mathematics Driven By Industrial Problems written by R. Burkard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-16 with Computers categories.
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.