05376oam 22006733u 450 99630923340331620211216205029.03-11-028226-710.1515/9783110282269(CKB)2670000000432688(EBL)1113333(OCoLC)858761758(SSID)ssj0001002059(PQKBManifestationID)11532419(PQKBTitleCode)TC0001002059(PQKBWorkID)10967936(PQKB)10537107(DE-B1597)175844(OCoLC)857804565(DE-B1597)9783110282269(Au-PeEL)EBL1113333(CaPaEBR)ebr10784108(CaONFJC)MIL807812(ScCtBLL)6221c84f-e90b-4035-8555-44e2a1a5b321(MiAaPQ)EBC1113333(EXLCZ)99267000000043268820130429h20132013 uy 0engurnn#---|u||utxtccrLarge scale inverse problems computational methods and applications in the earth sciences /edited by Mike Cullen[and three others]Berlin ;Boston :De Gruyter,[2013]©20131 online resource (216 p.)Radon series on computational and applied mathematics,1865-3707 ;volume 13Description based upon print version of record.3-11-028222-4 Includes bibliographical references.Front matter --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 /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 --Back matterThis 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.Radon series in computational and applied mathematics ;13.Inverse problems (Differential equations)Data Assimilation.Geosciences.Ill-Posed Inverse Problems.Optimization.Regularization.Inverse problems (Differential equations)515/.357Cullen Michael J. P941204MiAaPQMiAaPQMiAaPQBOOK996309233403316Large scale inverse problems2122922UNISA01270nam a2200289 i 4500991003734509707536 9788895146201b14378838-39ule_instDip.to di Storia, Società e Studi sull'Uomoita332.494 Varoufakis, Yanis252254Una modesta proposta per risolvere la crisi dell'Euro-zona :versione 4.0 /Yanis Varoufakis, Stuart Holland e James K. Galbraith ; presentazione di Stefano Fassina ; traduzione di Piero BudinichTrieste :Asterios,c201551 p. ;17 cmAD ;25 Crisi finanziariePaesi dell'Unione europeaSec. 21.Holland, Stuart authorhttp://id.loc.gov/vocabulary/relators/aut113120Galbraith, James K.Fassina, Stefano<1966- >Budinich, Piero.b1437883819-12-1919-12-19991003734509707536LE023 MISC Varia IV, 1812023000179109le023pE7.00-l- 00000.i1591150019-12-19Modesta proposta per risolvere la crisi dell'Euro-zona1751751UNISALENTOle02319-12-19ma -itait 40