Optimal Methods for Ill-Posed Problems
With Applications to Heat Conduction
Seiten
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent’ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems
The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent’ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems
Vitalii P. Tanana and Anna I. Sidikova, South Ural State University, Russia.
"The book can serve as a course in the corresponding topics for master and PhD students, but it can be also used by researchers working in the eld of inverse problems."
Constantin Popa in: Zentralblatt MATH 1391.65001
"The book is well written and may be used for undergraduate students. The presentation is clear and the proofs are complete."
Antonio C. G. Leitao in: Mathematical Reviews Clippings (April 2019) MR3791504
| Erscheinungsdatum | 16.03.2018 |
|---|---|
| Reihe/Serie | Inverse and Ill-Posed Problems Series ; 62 |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 378 g |
| Themenwelt | Wirtschaft ► Betriebswirtschaft / Management ► Finanzierung |
| Schlagworte | Approximation • Inkorrekt gestelltes Problem • Inverses Problem • Regularisierungsverfahren • Wärmeleitung |
| ISBN-10 | 3-11-057573-6 / 3110575736 |
| ISBN-13 | 978-3-11-057573-6 / 9783110575736 |
| Zustand | Neuware |
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