Atnaujintas knygų su minimaliais defektais pasiūlymas! Naršykite ČIA >>
Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.
| Autorius: | Dang D. Ang, Dang D. Trong, Vy K. Le, Rudolf Gorenflo, |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2002 |
| Knygos puslapių skaičius: | 192 |
| ISBN-10: | 3540440062 |
| ISBN-13: | 9783540440062 |
| Formatas: | 235 x 155 x 11 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction“
