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Localization Approaches In Strongly Indefinite Problems


Localization Approaches In Strongly Indefinite Problems
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Localization Approaches In Strongly Indefinite Problems


Localization Approaches In Strongly Indefinite Problems
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Author : Yanheng Ding
language : en
Publisher: Springer Nature
Release Date : 2025-02-05

Localization Approaches In Strongly Indefinite Problems written by Yanheng Ding and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-05 with Mathematics categories.


Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly indefinite type and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments and non-degenerate structure, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed. This book discusses some new abstract methods together with their applications to several localization problems, whose common feature is to involve semilinear partial differential equations with a strongly indefinite structure. This book deals with a variety of partial differential equations, including nonlinear Dirac equation from quantum physics (which is of first order), coupled system of multi-component incongruent diffusion and spinorial Yamabe type equations on spin manifolds. The unified framework in this book covers not only the existence of solutions to these PDEs problems, but also asymptotic behaviors of these solutions. In particular, the results for the nonlinear Dirac equations show several concentration behaviors of semiclassical standing waves under the effect of external potentials and the results for the spinorial Yamabe type equations show the existence of conformal embeddings of the 2-sphere into Euclidean 3-space with prescribed mean curvature. This book will be appealing to a variety of audiences including researchers, postdocs, and advanced graduate students who are interested in strongly indefinite problems.



Variational Methods For Strongly Indefinite Problems


Variational Methods For Strongly Indefinite Problems
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Author : Yanheng Ding
language : en
Publisher: World Scientific Publishing Company
Release Date : 2007

Variational Methods For Strongly Indefinite Problems written by Yanheng Ding and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


This unique book focuses on critical point theory for strongly indefinite functionals in order to deal with nonlinear variational problems in areas such as physics, mechanics and economics. With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, the book presents for the first time a deformation theory in locally convex topological vector spaces. It also offers satisfying variational settings for homoclinic-type solutions to Hamiltonian systems, Schrödinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems. The concepts and methods used open up new topics worthy of in-depth exploration, and link the subject with other branches of mathematics, such as topology and geometry, providing a perspective for further studies in these areas. The analytical framework can be used to handle more infinite-dimensional Hamiltonian systems.



Multiscale And Multiresolution Methods


Multiscale And Multiresolution Methods
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Author : Timothy J. Barth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Multiscale And Multiresolution Methods written by Timothy J. Barth 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 2012-12-06 with Mathematics categories.


Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include the computation of fluid turbulence, structural analysis of composite materials, terabyte data mining, image processing, and a multitude of others. This book consists of both invited and contributed articles which address many facets of efficient multiscale representation and scientific computation from varied viewpoints such as hierarchical data representations, multilevel algorithms, algebraic homogeni- zation, and others. This book should be of particular interest to readers interested in recent and emerging trends in multiscale and multiresolution computation with application to a wide range of practical problems.



Location Estimation From The Ground Up


Location Estimation From The Ground Up
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Author : Sivan Toledo
language : en
Publisher: SIAM
Release Date : 2020-09-17

Location Estimation From The Ground Up written by Sivan Toledo and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-17 with Technology & Engineering categories.


The location of an object can often be determined from indirect measurements using a process called estimation. This book explains the mathematical formulation of location-estimation problems and the statistical properties of these mathematical models. It also presents algorithms that are used to resolve these models to obtain location estimates, including the simplest linear models, nonlinear models (location estimation using satellite navigation systems and estimation of the signal arrival time from those satellites), dynamical systems (estimation of an entire path taken by a vehicle), and models with integer ambiguities (GPS location estimation that is centimeter-level accurate). Location Estimation from the Ground Up clearly presents analytic and algorithmic topics not covered in other books, including simple algorithms for Kalman filtering and smoothing, the solution of separable nonlinear optimization problems, estimation with integer ambiguities, and the implicit-function approach to estimating covariance matrices when the estimator is a minimizer or maximizer. It takes a unified approach to estimation while highlighting the differences between classes of estimation problems. The only book on estimation written for math and computer science students and graduates, it includes problems at the end of each chapter, many with solutions, to help readers deepen their understanding of the material and guide them through small programming projects that apply theory and algorithms to the solution of real-world location-estimation problems. The book’s core audience consists of engineers, including software engineers and algorithm developers, and graduate students who work on location-estimation projects and who need help translating the theory into algorithms, code, and deep understanding of the problem in front of them. Instructors in mathematics, computer science, and engineering may also find the book of interest as a primary or supplementary text for courses in location estimation and navigation.



Variational And Local Methods In The Study Of Hamiltonian Systems Proceedings Of The Workshop


Variational And Local Methods In The Study Of Hamiltonian Systems Proceedings Of The Workshop
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Author : Antonio Ambrosetti
language : en
Publisher: World Scientific
Release Date : 1995-09-30

Variational And Local Methods In The Study Of Hamiltonian Systems Proceedings Of The Workshop written by Antonio Ambrosetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-30 with categories.


In this volume, various ideas about Hamiltonian dynamics were discussed. Particular emphasis was placed on mechanical systems with singular potentials (such as the N-Body Newtonian problem) and on their special features, although important aspects of smooth dynamics were also discussed, from both the local point of view and the point of view of global analysis.



Building Bridges Connections And Challenges In Modern Approaches To Numerical Partial Differential Equations


Building Bridges Connections And Challenges In Modern Approaches To Numerical Partial Differential Equations
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Author : Gabriel R. Barrenechea
language : en
Publisher: Springer
Release Date : 2016-10-03

Building Bridges Connections And Challenges In Modern Approaches To Numerical Partial Differential Equations written by Gabriel R. Barrenechea and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-03 with Computers categories.


This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.



The Right To Research


The Right To Research
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Author : Kate Reed
language : en
Publisher: McGill-Queen's Press - MQUP
Release Date : 2023-01-15

The Right To Research written by Kate Reed and has been published by McGill-Queen's Press - MQUP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-15 with History categories.


Refugees and displaced people rarely figure as historical actors, and almost never as historical narrators. We often assume a person residing in a refugee camp, lacking funding, training, social networks, and other material resources that enable the research and writing of academic history, cannot be a historian because a historian cannot be a person residing in a refugee camp. The Right to Research disrupts this tautology by featuring nine works by refugee and host-community researchers from across Africa, Europe, and the Middle East. Identifying the intrinsic challenges of making space for diverse voices within a research framework and infrastructure that is inherently unequal, this edited volume offers a critical reflection on what history means, who narrates it, and what happens when those long excluded from authorship bring their knowledge and perspectives to bear. Chapters address topics such as education in Kakuma Refugee Camp, the political power of hip-hop in Rwanda, women migrants to Yemen, and the development of photojournalism in Kurdistan. Exploring what it means to become a researcher, The Right to Research understands historical scholarship as an ongoing conversation – one in which we all have a right to participate.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.




Encyclopedia Of Geology


Encyclopedia Of Geology
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Author :
language : en
Publisher: Academic Press
Release Date : 2020-12-16

Encyclopedia Of Geology written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with Science categories.


Encyclopedia of Geology, Second Edition presents in six volumes state-of-the-art reviews on the various aspects of geologic research, all of which have moved on considerably since the writing of the first edition. New areas of discussion include extinctions, origins of life, plate tectonics and its influence on faunal provinces, new types of mineral and hydrocarbon deposits, new methods of dating rocks, and geological processes. Users will find this to be a fundamental resource for teachers and students of geology, as well as researchers and non-geology professionals seeking up-to-date reviews of geologic research. Provides a comprehensive and accessible one-stop shop for information on the subject of geology, explaining methodologies and technical jargon used in the field Highlights connections between geology and other physical and biological sciences, tackling research problems that span multiple fields Fills a critical gap of information in a field that has seen significant progress in past years Presents an ideal reference for a wide range of scientists in earth and environmental areas of study



Numerical Methods For Large Eigenvalue Problems


Numerical Methods For Large Eigenvalue Problems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2011-05-26

Numerical Methods For Large Eigenvalue Problems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.


This revised edition discusses numerical methods for computing the eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method and automatic multilevel substructuring.