Large scale inverse problems computational methods and applications in the earth sciences
This 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 an...
| Other Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter,
[2013]
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| Series: | Radon series on computational and applied mathematics.
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| Subjects: | |
| Online Access: | EBSCOhost Перейти в каталог НБ ТГУ |
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| 245 | 0 | 0 | |a Large scale inverse problems |b computational methods and applications in the earth sciences |c edited by Mike Cullen, Melina A. Freitag, Stefan Kindermann, Robert Scheichl. |
| 264 | 1 | |a Berlin ; |a Boston |b De Gruyter, |c [2013] | |
| 300 | |a 1 online resource (ix, 203 pages) |b illustrations | ||
| 490 | 1 | |a Radon Series on Computational and Applied Mathematics | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Preface; 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 | |a 2.1 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 | |a 2.2 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 | |a 2.6 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 | |a The 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 | |a This 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 | |a Print version record. | |
| 542 | 1 | |f This work is licensed under a Creative Commons license |u https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode | |
| 546 | |a English. | ||
| 506 | 0 | |a Open Access |5 EbpS | |
| 653 | 0 | |a Inverse problems (Differential equations) | |
| 653 | 7 | |a Applied mathematics. |2 bicssc | |
| 653 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 653 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 653 | 7 | |a Inverse problems (Differential equations) |2 fast |0 (OCoLC)fst00978098 | |
| 655 | 0 | |a EBSCO eBooks |9 905790 | |
| 655 | 0 | |a Electronic books. |9 899821 | |
| 655 | 4 | |a Electronic books. |9 899821 | |
| 700 | 1 | |a Cullen, Michael J. P., |9 910441 | |
| 700 | 1 | |a Freitag, Melina A., |d 1980- |9 910442 | |
| 700 | 1 | |a Kindermann, Stefan, |d 1972- |9 910443 | |
| 700 | 1 | |a Scheichl, Robert, |d 1972- |9 910444 | |
| 830 | 0 | |a Radon series on computational and applied mathematics. |9 909280 | |
| 856 | 4 | 0 | |3 EBSCOhost |u https://www.lib.tsu.ru/limit/2023/EBSCO/641761.pdf |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=1012826 | ||
| 910 | |a EBSCO eBooks | ||
| 999 | |c 1012826 |d 1012826 | ||
| 039 | |||