Autore	Yagola A. G.
Edizione	[Reprint 2014]
Pubbl/distr/stampa	Utrecht, the Netherlands : , : VSP, , 1999
Descrizione fisica	1 online resource (307 pages)
Collana	Inverse and ill-posed problems series
Soggetto topico	Vibrational spectra Spectrum analysis Raman spectroscopy Infrared spectroscopy Inverse problems (Differential equations)
Soggetto genere / forma	Electronic books.
ISBN	3-11-094326-3
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. Physical model of molecular vibrations -- Chapter 2. Full statement of the vibrational problem -- Chapter 3. Consideration of the mathematical model for molecular vibration analysis. Direct and inverse problems -- Chapter 4. Vibrational problem in internal coordinates. Use of the redundant coordinate system -- Chapter 5. Vibrational problem in symmetry coordinates -- Chapter 6. Ill-posed problems and the regularization method. Regularizing algorithms for constructing force fields of polyatomic molecules on the base of experimental data -- Chapter 7. Numerical methods -- Chapter 8. Analysis of band intensities in vibrational spectra of polyatomic molecules -- Chapter 9. Numerical implementation of algorithms for solving problems of vibrational spectroscopy -- Chapter 10. Examples of molecular force field calculations on the basis of experimental data -- Chapter 11. Joint treatment of ab initio and experimental data in molecular force field calculations with Tikhonov's method of regularization -- Appendix Α. Systems of units used in vibrational spectroscopy -- Bibliography
Record Nr.	UNINA-9910464635403321

Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica	1 online resource (322 p.)
Disciplina	621.36/7
Collana	Contemporary mathematics
Soggetto topico	Image processing - Digital techniques - Mathematical models Image analysis - Mathematical models Inverse problems (Differential equations) Diagnostic imaging - Mathematical models
Soggetto genere / forma	Electronic books.
ISBN	0-8218-7903-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Preface""; ""List of Participants""; ""Regularization of nonlinear unstable operator equations by secant methods with application to gravitational sounding problem""; ""A fractal set constructed from a class of wavelet sets""; ""Joint invariant signatures for curve recognition""; ""Inpainting based on nonlinear transport and diffusion""; ""Towards fast non-rigid registration""; ""A note on wavelet-based inversion algorithms""; ""A comparison between the Wavelet-Galerkin and the Sinc-Galerkin methods in solving nonhomogeneous heat equations""; ""Fast diffusion registration"" ""Iterative stabilization and edge detection""""Backprojections in tomography, spherical functions and addition formulas: a few challenges""; ""Mathematical models for 2D positron emission tomography""; ""Explicit versus implicit relative error regularization on the space of functions of bounded variation""; ""Sampling methods for approximate solution of pde""; ""Diffusion and regularization of vector- and matrix-valued images""; ""A numerically robust hybrid steepest descent method for the convexly constrained generalized inverse problems""
Record Nr.	UNINA-9910480574703321