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## Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods baixar livros

- Editor: Birkhäuser
- Data de publicação: 2018-06-29
- ISBN: 3319571796
- Número de páginas: 948 pages
- Tag: handbook, mathematical, geodesy, functional, analytic, potential, theoretic, methods

### Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods

Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.

## Enhanced Surface Imaging of Crustal Deformation: Obtaining Tectonic Force Fields Using GPS Data (SpringerBriefs in Earth Sciences) baixar livros

- Autor: A. John Haines
- Editor: Springer
- Data de publicação: 2015-08-11
- Número de páginas: 99 pages
- Tag: enhanced, surface, imaging, crustal, deformation, obtaining, tectonic, force, fields, using, springerbriefs, earth, sciences

### Enhanced Surface Imaging of Crustal Deformation: Obtaining Tectonic Force Fields Using GPS Data (SpringerBriefs in Earth Sciences)

This book takes an in depth look at a novel methodology for analyzing Global Positioning System (GPS) data to obtain the highest possible resolution surface imaging of tectonic deformation sources without prescribing the nature of either the sources or the subsurface medium. GPS methods are widely used to track the surface expression of crustal deformation at tectonic plate boundaries, and are typically expressed in terms of velocity fields or strain rate fields. Vertical derivatives of horizontal stress (VDoHS) rates at the Earth’s surface can also be derived from GPS velocities, and VDoHS rates provide much higher resolution information about subsurface deformation sources than velocities or strain rates. In particular, VDoHS rates allow for high precision estimates of fault dips, slip rates and locking depths, as well as objective characterization of previously unknown (or hidden) tectonic deformation zones.

## Singularities: Formation, Structure, and Propagation (Cambridge Texts in Applied Mathematics) baixar livros

- Autor: J. Eggers
- Editor: Cambridge University Press
- Data de publicação: 2015-08-31
- Número de páginas: 471 pages
- Tag: singularities, formation, structure, propagation, cambridge, texts, applied, mathematics

### Singularities: Formation, Structure, and Propagation (Cambridge Texts in Applied Mathematics)

Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.

## Spherical Radial Basis Functions, Theory and Applications (SpringerBriefs in Mathematics) baixar livros

- Autor: Simon Hubbert
- Editor: Springer
- Data de publicação: 2015-06-14
- Número de páginas: 143 pages
- Tag: spherical, radial, basis, functions, theory, applications, springerbriefs, mathematics

### Spherical Radial Basis Functions, Theory and Applications (SpringerBriefs in Mathematics)

This book is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere. The aim of the book is to provide enough theoretical and practical details for the reader to be able to implement the SBF methods to solve real world problems. The authors stress the close connection between the theory of SBFs and that of the more well-known family of radial basis functions (RBFs), which are well-established tools for solving approximation theory problems on more general domains. The unique solvability of the SBF interpolation method for data fitting problems is established and an in-depth investigation of its accuracy is provided. Two chapters are devoted to partial differential equations (PDEs). One deals with the practical implementation of an SBF-based solution to an elliptic PDE and another which describes an SBF approach for solving a parabolic time-dependent PDE, complete with error analysis. The theory developed is illuminated with numerical experiments throughout.

*Spherical Radial Basis Functions, Theory and Applications* will be of interest to graduate students and researchers in mathematics and related fields such as the geophysical sciences and statistics.

## Heavy-Tailed Distributions in Disaster Analysis: 30 (Advances in Natural and Technological Hazards Research) baixar livros

- Autor: V. Pisarenko
- Editor: Springer
- Data de publicação: 2010-07-20
- Número de páginas: 199 pages
- Tag: heavy, tailed, distributions, disaster, analysis, advances, natural, technological, hazards, research

### Heavy-Tailed Distributions in Disaster Analysis: 30 (Advances in Natural and Technological Hazards Research)

Mathematically, natural disasters of all types are characterized by heavy tailed distributions. The analysis of such distributions with common methods, such as averages and dispersions, can therefore lead to erroneous conclusions. The statistical methods described in this book avoid such pitfalls. Seismic disasters are studied, primarily thanks to the availability of an ample statistical database. New approaches are presented to seismic risk estimation and forecasting the damage caused by earthquakes, ranging from typical, moderate events to very rare, extreme disasters. Analysis of these latter events is based on the limit theorems of probability and the duality of the generalized Pareto distribution and generalized extreme value distribution. It is shown that the parameter most widely used to estimate seismic risk – Mmax, the maximum possible earthquake value – is potentially non-robust. Robust analogues of this parameter are suggested and calculated for some seismic catalogues. Trends in the costs inferred by damage from natural disasters as related to changing social and economic situations are examined for different regions.

The results obtained argue for sustainable development, whereas entirely different, incorrect conclusions can be drawn if the specific properties of the heavy-tailed distribution and change in completeness of data on natural hazards are neglected.

This pioneering work is directed at risk assessment specialists in general, seismologists, administrators and all those interested in natural disasters and their impact on society.

## Statistical Analysis of Natural Disasters and Related Losses (SpringerBriefs in Earth Sciences) baixar livros

- Autor: V.F. Pisarenko
- Editor: Springer
- Data de publicação: 2013-09-11
- Número de páginas: 81 pages
- Tag: statistical, analysis, natural, disasters, related, losses, springerbriefs, earth, sciences

### Statistical Analysis of Natural Disasters and Related Losses (SpringerBriefs in Earth Sciences)

The study of disaster statistics and disaster occurrence is a complicated interdisciplinary field involving the interplay of new theoretical findings from several scientific fields like mathematics, physics, and computer science. Statistical studies on the mode of occurrence of natural disasters largely rely on fundamental findings in the statistics of rare events, which were derived in the 20th century. With regard to natural disasters, it is not so much the fact that the importance of this problem for mankind was recognized during the last third of the 20th century - the myths one encounters in ancient civilizations show that the problem of disasters has always been recognized - rather, it is the fact that mankind now possesses the necessary theoretical and practical tools to effectively study natural disasters, which in turn supports effective, major practical measures to minimize their impact. All the above factors have resulted in considerable progress in natural disaster research.

Substantial accrued material on natural disasters and the use of advanced recording techniques have opened new doors for empirical analysis. However, despite the considerable progress made, the situation is still far from ideal. Sufficiently complete catalogs of events are still not available for many types of disasters, and the methodological and even terminological bases of research need to be further developed and standardized.

The present monograph summarizes recent advances in the field of disaster statistics, primarily focusing on the occurrence of disasters that can be described by distributions with heavy tails. These disasters typically occur on a very broad range of scales, the rare greatest events being capable of causing losses comparable to the total losses of all smaller disasters of the same type.

Audience:

This SpringerBrief will be a valuable resource for those working in the fields of natural disaster research, risk assessment and loss mitigation at regional and federal governing bodies and in the insurance business, as well as for a broad range of readers interested in problems concerning natural disasters and their effects on human life.

## Large-Eddy Simulations of Turbulence baixar livros

- Autor: M. Lesieur
- Editor: Cambridge University Press
- Data de publicação: 2005-08-22
- Número de páginas: 232 pages
- Tag: large, simulations, turbulence

### Large-Eddy Simulations of Turbulence

Large-Eddy Simulations of Turbulence is an ideal introduction for people new to LES [large-eddy simulation], direct numerical simulation and Reynolds-averaged Navier-Stokes simulation, and as a reference for researchers. Of particular interest in the text are the detailed discussion, in Chapter 2, of vorticity, pressure, and the velocity gradient tensor, quantities useful for probing the results of a simulation, particularly when looking for coherent vortices and coherent structures. Chapters 4 and 5 feature an in-depth discussion of spectral subgrid-scale modeling. Although physical-space models are generally more readily applied, spectral models give insight into the requirements and limitations in subgrid-scale modeling and backscattering. A third special feature is the detailed discussion in Chapter 7, of large-eddy simulation of compressible flows previously only available in articles scattered throughout the literature. This will be of interest to those dealing with supersonic flows, combustion, astrophysics, and other related topics.

## Computational Methods for Applied Inverse Problems (Inverse and Ill-Posed Problems Series) baixar livros

- Editor: De Gruyter
- Data de publicação: 2012-10-30
- Número de páginas: 550 pages
- Tag: computational, methods, applied, inverse, problems, inverse, posed, problems, series

### Computational Methods for Applied Inverse Problems (Inverse and Ill-Posed Problems Series)

Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications.

This monographreports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging.

The bookserves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

## Environmental Modelling and Prediction baixar livros

- Editor: Springer
- Data de publicação: 2013-03-09
- Número de páginas: 457 pages
- Tag: environmental, modelling, prediction

### Environmental Modelling and Prediction

In this book the authors consider the natural environment as an integrated system. The physical, chemical and biological processes that govern the behaviour of the environmental system can thus be understood through mathematical modelling, and their evolution can be studied by means of numerical simulation. The book contains a summary of various efficient approaches in atmospheric prediction, such as numerical weather prediction and statistical forecast of climate change, as well as other successful methods in land surface modelling. The authors explore new theories and methods in environment prediction such as systems analysis and information theory. Attention is given to new achievements in remote sensing tele-metering and geographic information systems.

## Enhanced Surface Imaging of Crustal Deformation: Obtaining Tectonic Force Fields Using GPS Data baixar livros

- Autor: A. John Haines
- Editor: Springer
- Data de publicação: 2015-08-12
- ISBN: 3319215779
- Número de páginas: 99 pages
- Tag: enhanced, surface, imaging, crustal, deformation, obtaining, tectonic, force, fields, using

### Enhanced Surface Imaging of Crustal Deformation: Obtaining Tectonic Force Fields Using GPS Data

This book takes an in depth look at a novel methodology for analyzing Global Positioning System (GPS) data to obtain the highest possible resolution surface imaging of tectonic deformation sources without prescribing the nature of either the sources or the subsurface medium. GPS methods are widely used to track the surface expression of crustal deformation at tectonic plate boundaries, and are typically expressed in terms of velocity fields or strain rate fields. Vertical derivatives of horizontal stress (VDoHS) rates at the Earth’s surface can also be derived from GPS velocities, and VDoHS rates provide much higher resolution information about subsurface deformation sources than velocities or strain rates. In particular, VDoHS rates allow for high precision estimates of fault dips, slip rates and locking depths, as well as objective characterization of previously unknown (or hidden) tectonic deformation zones.