LEADER 06308nam 2200841Ia 450 001 9910812894403321 005 20240516150144.0 010 $a1-283-85670-0 010 $a3-11-025905-2 024 7 $a10.1515/9783110259056 035 $a(CKB)2670000000309334 035 $a(EBL)893757 035 $a(OCoLC)823284280 035 $a(SSID)ssj0000784773 035 $a(PQKBManifestationID)12300977 035 $a(PQKBTitleCode)TC0000784773 035 $a(PQKBWorkID)10763602 035 $a(PQKB)11777767 035 $a(MiAaPQ)EBC893757 035 $a(DE-B1597)124133 035 $a(OCoLC)820121233 035 $a(OCoLC)853254384 035 $a(DE-B1597)9783110259056 035 $a(Au-PeEL)EBL893757 035 $a(CaPaEBR)ebr10634582 035 $a(CaONFJC)MIL416920 035 $a(PPN)202071340 035 $a(EXLCZ)992670000000309334 100 $a20121206d2012 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aComputational methods for applied inverse problems$b[electronic resource] /$fedited by Yanfei Wang, Anatoly G. Yagola, Changchun Yang 205 $a1st ed. 210 $aBerlin $cDe Gruyter$d2012 215 $a1 online resource (552 p.) 225 0 $aInverse and ill-posed problems series ;$v56 300 $aDescription based upon print version of record. 311 0 $a3-11-025904-4 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tEditor's Preface --$tContents --$tPart I. Introduction --$tChapter 1. Inverse Problems of Mathematical Physics /$rKabanikhin, S. I. --$tPart II. Recent Advances in Regularization Theory and Methods --$tChapter 2. Using Parallel Computing for Solving Multidimensional Ill-posed Problems /$rLukyanenko, D. V. / Yagola, A. G. --$tChapter 3. Regularization of Fredholm Integral Equations of the First Kind using Nyström Approximation /$rNair, M. T. --$tChapter 4. Regularization of Numerical Differentiation: Methods and Applications /$rXiao, T. Y. / Zhang, H. / Hao, L. L. --$tChapter 5. Numerical Analytic Continuation and Regularization /$rFu, C. L. / Cheng, H. / Ma, Y. J. --$tChapter 6. An Optimal Perturbation Regularization Algorithm for Function Reconstruction and Its Applications /$rLi, G. S. --$tChapter 7. Filtering and Inverse Problems Solving /$rZotov, L. V. / Panteleev, V. L. --$tPart III. Optimal Inverse Design and Optimization Methods --$tChapter 8. Inverse Design of Alloys' Chemistry for Specified Thermo-Mechanical Properties by using Multi-objective Optimization /$rDulikravich, G. S. / Egorov, I. N. --$tChapter 9. Two Approaches to Reduce the Parameter Identification Errors /$rXiang, Z. H. --$tChapter 10. A General Convergence Result for the BFGS Method /$rDai, Y. H. --$tPart IV. Recent Advances in Inverse Scattering --$tChapter 11. Uniqueness Results for Inverse Scattering Problems /$rLiu, X. D. / Zhang, B. --$tChapter 12. Shape Reconstruction of Inverse Medium Scattering for the Helmholtz Equation /$rBao, G. / Li, P. J. --$tPart V. Inverse Vibration, Data Processing and Imaging --$tChapter 13. Numerical Aspects of the Calculation of Molecular Force Fields from Experimental Data /$rKuramshina, G. M. / Kochikov, I. V. / Stepanova, A. V. --$tChapter 14. Some Mathematical Problems in Biomedical Imaging /$rLiu, J. J. / Xu, H. L. --$tPart VI Numerical Inversion in Geosciences --$tChapter 15. Numerical Methods for Solving Inverse Hyperbolic Problems /$rKabanikhin, S. I. / Shishlenin, M. A. --$tChapter 16. Inversion Studies in Seismic Oceanography /$rSong, H. B. / Huang, X. H. / Pinheiro, L. M. / Song, Y. / Dong, C. Z. / Bai, Y. --$tChapter 17. Image Resolution Beyond the Classical Limit /$rGelius, L. J. --$tChapter 18. Seismic Migration and Inversion /$rWang, Y. F. / Li, Z. H. / Yang, C. C. --$tChapter 19. Seismic Wavefields Interpolation Based on Sparse Regularization and Compressive Sensing /$rWang, Y. F. / Cao, J. J. / Sun, T. / Yang, C. C. --$tChapter 20. Some Researches on Quantitative Remote Sensing Inversion /$rYang, H. --$tIndex 330 $aNowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems. 410 0$aInverse and Ill-Posed Problems Series 606 $aInverse problems (Differential equations)$xNumerical solutions 606 $aDifferential equations$xNumerical solutions 610 $aComputational Method. 610 $aGeography. 610 $aGeophysics. 610 $aImage Processing. 610 $aInverse Problem. 610 $aOceanography. 610 $aOperator Theory. 610 $aOptimization. 610 $aRegularization. 610 $aRemote Sensing. 615 0$aInverse problems (Differential equations)$xNumerical solutions. 615 0$aDifferential equations$xNumerical solutions. 676 $a515 676 $a515.35 676 $a515/.35 686 $aSK 920$2rvk 701 $aWang$b Yanfei$f1973-$01662976 701 $aYagola$b A. G$01027381 701 $aYang$b Changchun$f1945-$01662977 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812894403321 996 $aComputational methods for applied inverse problems$94019973 997 $aUNINA