The Resource Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource)
Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource)
Resource Information
The item Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book is the second volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 37, 2011. This volume addresses the common ground in the mathematical and computational procedures required for largescale inverse problems and data assimilation in forefront applications. The solution of inverse problems is fundamental to a wide variety of applications such as weather forecasting, medical tomography, and oil exploration. Regularisation techniques are needed to ensure solutions of sufficient quality to be useful, and soundly theoretically based. This book addresses the common techniques required for all the applications, and is thus truly interdisciplinary. This collection of survey articles focusses on the large inverse problems commonly arising in simulation and forecasting in the earth sciences. For example, operational weather forecasting models have between 107 and 108 degrees of freedom. Even so, these degrees of freedom represent grossly spacetime averaged properties of the atmosphere. Accurate forecasts require accurate initial conditions. With recent developments in satellite data, there are between 106 and 107 observations each day. However, while these also represent spacetime averaged properties, the averaging implicit in the measurements is quite different from that used in the models. In atmosphere and ocean applications, there is a physicallybased model available which can be used to regularise the problem. We assume that there is a set of observations with known error characteristics available over a period of time. The basic deterministic technique is to fit a model trajectory to the observations over a period of time to within the observation error. Since the model is not perfect the model trajectory has to be corrected, which defines the data assimilation problem. The stochastic view can be expressed by using an ensemble of model trajectories, and calculating corrections to both the mean value and the spread which allow the observations to be fitted by each ensemble member. In other areas of earth science, only the structure of the model formulation itself is known and the aim is to use the past observation history to determine the unknown model parameters. The book records the achievements of Workshop 2 "LargeScale Inverse Problems and Applications in the Earth Sciences". It involves experts in the theory of inverse problems together with experts working on both theoretical and practical aspects of the techniques by which large inverse problems arise in the earth sciences.
 Language

 eng
 eng
 Extent
 1 online resource
 Contents

 Reich, Sebastian / Cotter, Colin J.
 Inverse problems in imaging
 Burger, Martin / Dirks, Hendrik / Müller, Jahn
 The lost honor of l2based regularization
 Doel, Kees van den / Ascher, Uri M. / Haber, Eldad
 List of contributors
 Backmatter
 Frontmatter
 Preface
 Contents
 Synergy of inverse problems and data assimilation techniques
 Freitag, Melina A. / Potthast, Roland W. E.
 Variational data assimilation for very large environmental problems
 Lawless, Amos S.
 Ensemble filter techniques for intermittent data assimilation
 Isbn
 9783110282269
 Label
 Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences
 Title
 Large Scale Inverse Problems
 Title remainder
 Computational Methods and Applications in the Earth Sciences
 Statement of responsibility
 Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl
 Language

 eng
 eng
 Summary
 This book is the second volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 37, 2011. This volume addresses the common ground in the mathematical and computational procedures required for largescale inverse problems and data assimilation in forefront applications. The solution of inverse problems is fundamental to a wide variety of applications such as weather forecasting, medical tomography, and oil exploration. Regularisation techniques are needed to ensure solutions of sufficient quality to be useful, and soundly theoretically based. This book addresses the common techniques required for all the applications, and is thus truly interdisciplinary. This collection of survey articles focusses on the large inverse problems commonly arising in simulation and forecasting in the earth sciences. For example, operational weather forecasting models have between 107 and 108 degrees of freedom. Even so, these degrees of freedom represent grossly spacetime averaged properties of the atmosphere. Accurate forecasts require accurate initial conditions. With recent developments in satellite data, there are between 106 and 107 observations each day. However, while these also represent spacetime averaged properties, the averaging implicit in the measurements is quite different from that used in the models. In atmosphere and ocean applications, there is a physicallybased model available which can be used to regularise the problem. We assume that there is a set of observations with known error characteristics available over a period of time. The basic deterministic technique is to fit a model trajectory to the observations over a period of time to within the observation error. Since the model is not perfect the model trajectory has to be corrected, which defines the data assimilation problem. The stochastic view can be expressed by using an ensemble of model trajectories, and calculating corrections to both the mean value and the spread which allow the observations to be fitted by each ensemble member. In other areas of earth science, only the structure of the model formulation itself is known and the aim is to use the past observation history to determine the unknown model parameters. The book records the achievements of Workshop 2 "LargeScale Inverse Problems and Applications in the Earth Sciences". It involves experts in the theory of inverse problems together with experts working on both theoretical and practical aspects of the techniques by which large inverse problems arise in the earth sciences.
 Assigning source
 Provided by publisher
 Cataloging source
 DEB1597
 Government publication
 other
 Language note
 In English
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Cullen, Mike
 Freitag, Melina A
 Kindermann, Stefan
 Scheichl, Robert
 Series statement

 Radon Series on Computational and Applied Mathematics
 Open Access eBooks
 Series volume
 13
 Target audience
 specialized
 Label
 Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Reich, Sebastian / Cotter, Colin J.
 Inverse problems in imaging
 Burger, Martin / Dirks, Hendrik / Müller, Jahn
 The lost honor of l2based regularization
 Doel, Kees van den / Ascher, Uri M. / Haber, Eldad
 List of contributors
 Backmatter
 Frontmatter
 Preface
 Contents
 Synergy of inverse problems and data assimilation techniques
 Freitag, Melina A. / Potthast, Roland W. E.
 Variational data assimilation for very large environmental problems
 Lawless, Amos S.
 Ensemble filter techniques for intermittent data assimilation
 Control code
 9783110282269
 Extent
 1 online resource
 Form of item
 online
 Isbn
 9783110282269
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9783110282269
 Specific material designation
 remote
 System control number
 (OCoLC)858761758
 Label
 Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Reich, Sebastian / Cotter, Colin J.
 Inverse problems in imaging
 Burger, Martin / Dirks, Hendrik / Müller, Jahn
 The lost honor of l2based regularization
 Doel, Kees van den / Ascher, Uri M. / Haber, Eldad
 List of contributors
 Backmatter
 Frontmatter
 Preface
 Contents
 Synergy of inverse problems and data assimilation techniques
 Freitag, Melina A. / Potthast, Roland W. E.
 Variational data assimilation for very large environmental problems
 Lawless, Amos S.
 Ensemble filter techniques for intermittent data assimilation
 Control code
 9783110282269
 Extent
 1 online resource
 Form of item
 online
 Isbn
 9783110282269
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1515/9783110282269
 Specific material designation
 remote
 System control number
 (OCoLC)858761758
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/LargeScaleInverseProblemsComputational/TCPtWNIRYO0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/LargeScaleInverseProblemsComputational/TCPtWNIRYO0/">Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/LargeScaleInverseProblemsComputational/TCPtWNIRYO0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/LargeScaleInverseProblemsComputational/TCPtWNIRYO0/">Large Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences, Mike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>