000 06930nam a22008295i 4500
001 9783110282269
003 DE-B1597
005 20200803184523.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 190708s2013 gw fo d z eng d
020 _a9783110282269
024 7 _a10.1515/9783110282269
_2doi
035 _a(DE-B1597)175844
035 _a(OCoLC)857804565
035 _a(OCoLC)858761758
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _agw
_cDE
050 4 _aQA378.5
_b.L37 2013
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515/.357
_223
245 0 0 _aLarge Scale Inverse Problems :
_bComputational Methods and Applications in the Earth Sciences /
_cMike Cullen, Melina A Freitag, Stefan Kindermann, Robert Scheichl.
264 1 _aBerlin ;
_aBoston :
_bDe Gruyter,
_c[2013]
264 4 _c©2013
300 _a1 online resource (212 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aRadon Series on Computational and Applied Mathematics ;
_v13
505 0 0 _t Frontmatter --
_tPreface --
_tContents --
_tSynergy of inverse problems and data assimilation techniques /
_rFreitag, Melina A. / Potthast, Roland W. E. --
_tVariational data assimilation for very large environmental problems /
_rLawless, Amos S. --
_tEnsemble filter techniques for intermittent data assimilation /
_rReich, Sebastian / Cotter, Colin J. --
_tInverse problems in imaging /
_rBurger, Martin / Dirks, Hendrik / Müller, Jahn --
_tThe lost honor of ℓ2-based regularization /
_rDoel, Kees van den / Ascher, Uri M. / Haber, Eldad --
_tList of contributors --
_t Backmatter
506 0 _aOpen Access
_uhttps://purl.org/coar/access_right/c_abf2
_funrestricted online access
_2star
520 _aThis 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.
538 _aMode of access: Internet via World Wide Web.
540 _aThis eBook is made available Open Access under a CC BY-NC-ND 4.0 license:
_uhttps://creativecommons.org/licenses/by-nc-nd/4.0
_uhttps://www.degruyter.com/dg/page/open-access-policy
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
650 0 _aInverse problems (Differential equations)
650 4 _aData Assimilation.
650 4 _aGeosciences.
650 4 _aIll-Posed Inverse Problems.
650 4 _aIll-posed inverse problems.
650 4 _aOptimization.
650 4 _aRegularization.
650 4 _adata assimilation.
650 4 _ageosciences.
650 4 _aoptimisation.
650 4 _aregularisation.
650 7 _aMATHEMATICS / Mathematical Analysis.
_2bisacsh
700 1 _aCullen, Mike,
_eeditor.
700 1 _aFreitag, Melina A ,
_eeditor.
700 1 _aKindermann, Stefan,
_eeditor.
700 1 _aScheichl, Robert,
_eeditor.
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Backlist Complete English Language 2000-2014 PART1
_z9783110238570
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Backlist Mathematics English Language 2000-2014
_z9783110238471
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tDGBA Mathematics 2000 - 2014
_z9783110637205
_oZDB-23-GMA
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013
_z9783110317350
_oZDB-23-DGG
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013
_z9783110317282
_oZDB-23-DMI
773 0 8 _iTitle is part of eBook package:
_dDe Gruyter
_tE-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013
_z9783110317275
_oZDB-23-DMP
776 0 _cprint
_z9783110282221
856 4 0 _uhttps://doi.org/10.1515/9783110282269
_zOpen Access
856 4 2 _3Cover
_uhttps://www.degruyter.com/doc/cover/9783110282269.jpg
912 _a978-3-11-023847-1 DGBA Backlist Mathematics English Language 2000-2014
_c2000
_d2014
912 _aDGBA Backlist Complete English Language 2000-2014
_c2000
_d2014
912 _aGBV-deGruyter-alles
912 _aZDB-23-DGG
_b2013
912 _aZDB-23-DMI
_b2013
912 _aZDB-23-DMP
_b2013
912 _aZDB-23-GMA
_c2000
_d2014
912 _aZDB-23-GOA
999 _c534959
_d534957