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_aQA378.5 _b.L37 2013 |
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_aLarge scale inverse problems : _bcomputational methods and applications in the earth sciences / _cedited by Mike Cullen, Melina A. Freitag, Stefan Kindermann, Robert Scheichl. |
264 | 1 |
_aBerlin ; _aBoston : _bDe Gruyter, _c[2013] |
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264 | 4 | _c©2013 | |
300 |
_a1 online resource (ix, 203 pages) : _billustrations |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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490 | 1 | _aRadon Series on Computational and Applied Mathematics | |
504 | _aIncludes bibliographical references. | ||
505 | 0 | _aPreface; Synergy of inverse problems and data assimilation techniques; 1 Introduction; 2 Regularization theory; 3 Cycling, Tikhonov regularization and 3DVar; 4 Error analysis; 5 Bayesian approach to inverse problems; 6 4DVar; 7 Kalman filter and Kalman smoother; 8 Ensemble methods; 9 Numerical examples; 9.1 Data assimilation for an advection-diffusion system; 9.2 Data assimilation for the Lorenz-95 system; 10 Concluding remarks; Variational data assimilation for very large environmental problems; 1 Introduction; 2 Theory of variational data assimilation. | |
505 | 8 | _a2.1 Incremental variational data assimilation3 Practical implementation; 3.1 Model development; 3.2 Background error covariances; 3.3 Observation errors; 3.4 Optimization methods; 3.5 Reduced order approaches; 3.6 Issues for nested models; 3.7 Weak-constraint variational assimilation; 4 Summary and future perspectives; Ensemble filter techniques for intermittent data assimilation; 1 Bayesian statistics; 1.1 Preliminaries; 1.2 Bayesian inference; 1.3 Coupling of random variables; 1.4 Monte Carlo methods; 2 Stochastic processes; 2.1 Discrete time Markov processes. | |
505 | 8 | _a2.2 Stochastic difference and differential equations2.3 Ensemble prediction and sampling methods; 3 Data assimilation and filtering; 3.1 Preliminaries; 3.2 SequentialMonte Carlo method; 3.3 Ensemble Kalman filter (EnKF); 3.4 Ensemble transform Kalman-Bucy filter; 3.5 Guided sequential Monte Carlo methods; 3.6 Continuous ensemble transform filter formulations; 4 Concluding remarks; Inverse problems in imaging; 1 Mathematicalmodels for images; 2 Examples of imaging devices; 2.1 Optical imaging; 2.2 Transmission tomography; 2.3 Emission tomography; 2.4 MR imaging; 2.5 Acoustic imaging. | |
505 | 8 | _a2.6 Electromagnetic imaging3 Basic image reconstruction; 3.1 Deblurring and point spread functions; 3.2 Noise; 3.3 Reconstruction methods; 4 Missing data and prior information; 4.1 Prior information; 4.2 Undersampling and superresolution; 4.3 Inpainting; 4.4 Surface imaging; 5 Calibration problems; 5.1 Blind deconvolution; 5.2 Nonlinear MR imaging; 5.3 Attenuation correction in SPECT; 5.4 Blind spectral unmixing; 6 Model-based dynamic imaging; 6.1 Kinetic models; 6.2 Parameter identification; 6.3 Basis pursuit; 6.4 Motion and deformation models; 6.5 Advanced PDE models. | |
505 | 8 | _aThe lost honor of l2-based regularization1 Introduction; 2 l1-based regularization; 3 Poor data; 4 Large, highly ill-conditioned problems; 4.1 Inverse potential problem; 4.2 The effect of ill-conditioning on L1 regularization; 4.3 Nonlinear, highly ill-posed examples; 5 Summary; List of contributors. | |
520 | _aThis book is thesecond volume of three volume series recording the ""Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment"" taking place in Linz, Austria, October 3-7, 2011. The volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications. | ||
588 | 0 | _aPrint version record. | |
542 | 1 |
_fThis work is licensed under a Creative Commons license _uhttps://creativecommons.org/licenses/by-nc-nd/4.0/legalcode |
|
546 | _aEnglish. | ||
506 | 0 |
_aOpen Access _5EbpS |
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650 | 0 | _aInverse problems (Differential equations) | |
650 | 7 |
_aApplied mathematics. _2bicssc _9381 |
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650 | 7 |
_aMATHEMATICS _xCalculus. _2bisacsh _928352 |
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650 | 7 |
_aMATHEMATICS _xMathematical Analysis. _2bisacsh _928353 |
|
650 | 7 |
_aInverse problems (Differential equations) _2fast _0(OCoLC)fst00978098 |
|
655 | 0 | _aElectronic books. | |
655 | 4 | _aElectronic books. | |
700 | 1 |
_aCullen, Michael J. P., _eeditor. _928354 |
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700 | 1 |
_aFreitag, Melina A., _d1980- _eeditor. _928355 |
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700 | 1 |
_aKindermann, Stefan, _d1972- _eeditor. _928356 |
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700 | 1 |
_aScheichl, Robert, _d1972- _eeditor. _928357 |
|
776 | 0 | 8 |
_iPrint version: _aScheichl, Robert. _tLarge Scale Inverse Problems : Computational Methods and Applications in the Earth Sciences. _dBerlin : De Gruyter, ©2013 _z9783110282221 |
830 | 0 |
_aRadon series on computational and applied mathematics. _96267 |
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_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=641761 |
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