Numerical Methods for the Solution of Ill-Posed Problems

Numerical Methods for the Solution of Ill-Posed Problems
Author: A.N. Tikhonov
Publisher: Springer Science & Business Media
Total Pages: 257
Release: 2013-03-09
Genre: Mathematics
ISBN: 940158480X

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.

Radar Interferometry

Radar Interferometry
Author: Ramon F. Hanssen
Publisher: Springer Science & Business Media
Total Pages: 318
Release: 2006-04-18
Genre: Technology & Engineering
ISBN: 0306476339

This book is the product of five and a half years of research dedicated to the und- standing of radar interferometry, a relatively new space-geodetic technique for m- suring the earth’s topography and its deformation. The main reason for undertaking this work, early 1995, was the fact that this technique proved to be extremely useful for wide-scale, fine-resolution deformation measurements. Especially the interf- ometric products from the ERS-1 satellite provided beautiful first results—several interferometric images appeared as highlights on the cover of journals such as Nature and Science. Accuracies of a few millimeters in the radar line of sight were claimed in semi-continuous image data acquired globally, irrespective of cloud cover or solar illumination. Unfortunately, because of the relative lack of supportive observations at these resolutions and accuracies, validation of the precision and reliability of the results remained an issue of concern. From a geodetic point of view, several survey techniques are commonly available to measure a specific geophysical phenomenon. To make an optimal choice between these techniques it is important to have a uniform and quantitative approach for describing the errors and how these errors propagate to the estimated parameters. In this context, the research described in this book was initiated. It describes issues involved with different types of errors, induced by the sensor, the data processing, satellite positioning accuracy, atmospheric propagation, and scattering character- tics. Nevertheless, as the first item in the subtitle “Data Interpretation and Error Analysis” suggests, data interpretation is not always straightforward.

Urban Informatics

Urban Informatics
Author: Wenzhong Shi
Publisher: Springer Nature
Total Pages: 941
Release: 2021-04-06
Genre: Social Science
ISBN: 9811589836

This open access book is the first to systematically introduce the principles of urban informatics and its application to every aspect of the city that involves its functioning, control, management, and future planning. It introduces new models and tools being developed to understand and implement these technologies that enable cities to function more efficiently – to become ‘smart’ and ‘sustainable’. The smart city has quickly emerged as computers have become ever smaller to the point where they can be embedded into the very fabric of the city, as well as being central to new ways in which the population can communicate and act. When cities are wired in this way, they have the potential to become sentient and responsive, generating massive streams of ‘big’ data in real time as well as providing immense opportunities for extracting new forms of urban data through crowdsourcing. This book offers a comprehensive review of the methods that form the core of urban informatics from various kinds of urban remote sensing to new approaches to machine learning and statistical modelling. It provides a detailed technical introduction to the wide array of tools information scientists need to develop the key urban analytics that are fundamental to learning about the smart city, and it outlines ways in which these tools can be used to inform design and policy so that cities can become more efficient with a greater concern for environment and equity.

Deformation and Gravity Change: Indicators of Isostasy, Tectonics, Volcanism, and Climate Change

Deformation and Gravity Change: Indicators of Isostasy, Tectonics, Volcanism, and Climate Change
Author: Detlef Wolf
Publisher: Springer Science & Business Media
Total Pages: 245
Release: 2007-12-20
Genre: Science
ISBN: 3764384174

Most of the papers in this book were presented at the workshop on "Deformation and Gravity Change: Indicators of Isostasy, Tectonics, Volcanism and Climate Change", which took place at the Casa de los Volcanes on Lanzarote, during March 1-4, 2005. Leading experts describe major developments in geodynamics, and record their views on internal and surface processes of the earth.

InSAR Observations of Ground Deformation

InSAR Observations of Ground Deformation
Author: Amy Laura Parker
Publisher: Springer
Total Pages: 176
Release: 2016-10-14
Genre: Nature
ISBN: 3319390341

This doctoral thesis applies measurements of ground deformation from satellite radar using their potential to play a key role in understanding volcanic and magmatic processes throughout the eruption cycle. However, making these measurements is often problematic, and the processes driving ground deformation are commonly poorly understood. These problems are approached in this thesis in the context of the Cascades Volcanic Arc. From a technical perspective, the thesis develops a new way of using regional-scale weather models to assess a priori the influence of atmospheric uncertainties on satellite measurements of volcano deformation, providing key parameters for volcano monitoring. Next, it presents detailed geodetic studies of two volcanoes in northern California: Medicine Lake Volcano and Lassen Volcanic Centre. Finally, the thesis combines geodetic constraints with petrological inputs to develop a thermal model of cooling magma intrusions. The novelty and range of topics covered in this thesis mean that it is a seminal work in volcanic and magmatic studies.

Surface Displacement Measurement from Remote Sensing Images

Surface Displacement Measurement from Remote Sensing Images
Author: Olivier Cavalie
Publisher: John Wiley & Sons
Total Pages: 343
Release: 2022-05-25
Genre: Technology & Engineering
ISBN: 1119986834

Drastic improvements in both access to satellite images and data processing tools today allow near real-time observation of Earth surface deformations. Remote sensing imagery is thus a powerful, reliable and spatially dense source of information that can be used to understand the Earth and its surface manifestations as well as mitigate natural hazards. This book offers for the first time a complete overview of the methodological approaches developed to measure surface displacement using synthetic aperture radar (SAR) and optical imagery, as well as their applications in the monitoring of major geophysical phenomena. More specifically, the first part of the book presents the theory behind SAR interferometry (InSAR) and image correlation and its latest developments. In the second part, most of the geophysical phenomena that trigger Earth surface deformations are reviewed. Surface Displacement Measurement from Remote Sensing Images unveils the potential and sensitivity of the measurement of Earth surface displacements from remote sensing imagery.

Treatise on Geophysics, Volume 3

Treatise on Geophysics, Volume 3
Author: Tom Herring
Publisher: Elsevier
Total Pages: 461
Release: 2010-04-20
Genre: Science
ISBN: 0444535799

Geodesy, which is the science of measuring the size and shape of the Earth, explores the theory, instrumentation and results from modern geodetic systems. The beginning sections of the volume cover the theory of the Earth's gravity field, the instrumentation for measuring the field, and its temporal variations. The measurements and results obtained from variations in the rotation of the Earth are covered in the sections on short and long period rotation hanges. Space based geodetic methods, including the global positioning system (GPS) and Interferometric synthetic aperture radar (SAR), are also examined in detail. - Self-contained volume starts with an overview of the subject then explores each topic with in depth detail - Extensive reference lists and cross references with other volumes to facilitate further research - Full-color figures and tables support the text and aid in understanding - Content suited for both the expert and non-expert

Satellite InSAR Data

Satellite InSAR Data
Author: Alessandro Ferretti
Publisher:
Total Pages: 159
Release: 2014
Genre: Astronautics in earth sciences
ISBN: 9789073834712