Coverart for item
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)

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
Contributor
Editor
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 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale 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 space-time 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 space-time 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 physically-based 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 "Large-Scale 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
DE-B1597
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 e-Books
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)
Link
https://doi.org/10.1515/9783110282269
Instantiates
Publication
Copyright
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 l2-based 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)
Link
https://doi.org/10.1515/9783110282269
Publication
Copyright
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 l2-based 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

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