| Description |
1 online resource (xix, 530 pages) : illustrations |
| Series |
Inverse and Ill-posed Problems Series ; 56 |
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Inverse and ill-posed problems series ; v. 56.
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| Contents |
880-01 Inverse problems of mathematical physics / S.I. Kabanikhin -- Recent advances in regularization theory and methods -- Using parallel computing for solving multidimensional ill-posed problems / D.V. Lukyanenko and A.G. Yagola -- Regularization of Fredholm integral equations of the first kind using Nyström approximation / M.T. Nair -- Regularization of numerical differentiation : methods and applications / T.Y. Xiao, H. Zhang, and L.L. Hao -- Numerical analytic continuation and regularization / C.L. Fu, H. Cheng, and Y.J. Ma -- An optimal perturbation regularization algorithm for function reconstruction and its applications / G.S. Li -- Filtering and inverse problems solving / L.V. Zotov and V.L. Panteleev -- Optimal inverse design and optimization methods -- Inverse-design of alloys' chemistry for specified thermo-mechanical properties by using multi-objective optimization / G.S. Dulikravich and I.N. Egorov -- Two approaches to reduce the parameter identitification errors / Z.H. Xiang -- A general convergence result for the BFGS method / Y.H. Dai -- Recent advances in inverse scattering -- Uniqueness results for inverse scattering problems / X.D. Liu and B. Zhang -- Shape reconstruction of inverse medium scattering for the Helmholtz equation / G. Bao and P.J. Li -- Inverse vibration, data processing, and imaging -- Numerical aspects of the calculation of molecular force fields from experimental data / G.M. Kuramshina, I.V. Kochikov, and A.V. Stepanova -- Some mathematical problems in biomedical imaging / J.J. Liu and H.L. Xu -- Numerical inversion in geosciences -- Numerical methods for solving inverse hyperbolic problems / S.I. Kabanikhin and M.A. Shishlenin -- Inversion studies in seismic oceanography / H.B. Song, X.H. Huang, L.M. Pinheiro, Y. Song, C.Z. Dong, and Y. Bai -- Image resolution beyond the classical limit / L.J. Gelius -- Seismic migration and inversion / Y.F. Wang, Z.H. Li, and C.C. Yang -- Seismic wavefields interpolation based on sparse regularization and compressing sensing / Y.F. Wang, J.J. Cao, T. Sun, and C.C. Yang -- Some researches on quantitative remote sensing inversion / H. Yang |
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880-01/(S 15 Numerical Methods for Solving Inverse Hyperbolic Problems -- 15.1 Introduction -- 15.2 Gel'fand-Levitan-Krein Method -- 15.2.1 The two-dimensional analogy of Gel'fand-Levitan-Krein equation -- 15.2.2 N-approximation of Gel'fand-Levitan-Krein equation -- 15.2.3 Numerical results and remarks -- 15.3 Linearized Multidimensional Inverse Problem for the Wave Equation -- 15.3.1 Problem formulation -- 15.3.2 Linearization -- 15.4 Modified Landweber Iteration -- 15.4.1 Statement of the problem -- 15.4.2 Landweber iteration -- 15.4.3 Modification of algorithm -- 15.4.4 Numerical results -- References -- 16 Inversion Studies in Seismic Oceanography -- 16.1 Introduction of Seismic Oceanography -- 16.2 Thermohaline Structure Inversion -- 16.2.1 Inversion method for temperature and salinity -- 16.2.2 Inversion experiment of synthetic seismic data -- 16.2.3 Inversion experiment of GO data (Huang et al., 2011) -- 16.3 Discussion and Conclusion -- References -- 17 Image Resolution Beyond the Classical Limit -- 17.1 Introduction -- 17.2 Aperture and Resolution Functions -- 17.3 Deconvolution Approach to Improved Resolution -- 17.4 MUSIC Pseudo-Spectrum Approach to Improved Resolution -- 17.5 Concluding Remarks -- References -- 18 Seismic Migration and Inversion -- 18.1 Introduction -- 18.2 Migration Methods: A Brief Review -- 18.2.1 Kirchhoff migration -- 18.2.2 Wave field extrapolation -- 18.2.3 Finite difference migration in ω -- X domain -- 18.2.4 Phase shift migration -- 18.2.5 Stolt migration -- 18.2.6 Reverse time migration -- 18.2.7 Gaussian beam migration -- 18.2.8 Interferometric migration -- 18.2.9 Ray tracing -- 18.3 Seismic Migration and Inversion -- 18.3.1 The forward model -- 18.3.2 Migration deconvolution -- 18.3.3 Regularization model -- 18.3.4 Solving methods based on optimization -- 18.3.5 Preconditioning |
| Summary |
"Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging."--Publisher's website |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Inverse problems (Differential equations)
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MATHEMATICS -- Differential Equations -- General.
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Inverse problems (Differential equations)
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| Form |
Electronic book
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| Author |
Wang, Yanfei, 1973-
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Yagola, A. G
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Yang, Changchun, 1945-
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| LC no. |
2012037277 |
| ISBN |
9783110259056 |
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3110259052 |
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9783112204412 |
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3112204417 |
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