The short review of methods of reconstruction non-smooth solutions to ill-posed problems is presented. In the Tikhonov method for some parametric classes of stabilizing functionals the convergence theorems for regularized solutions and their discrete approximations are stated. The questions concerning the numerical algorithms are considered.
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
IMPACT FACTOR 2011: 0.432
Mathematical Citation Quotient 2011: 0.40
Issues
Volume 21 (2013)
Volume 20 (2012)
Volume 19 (2011)
Volume 18 (2011)
Volume 17 (2009)
Volume 16 (2008)
Volume 15 (2007)
Volume 14 (2006)
Volume 13 (2005)
Volume 12 (2004)
Volume 11 (2003)
Volume 7 (1999)
Volume 6 (1998)
Volume 5 (1997)
Volume 4 (1996)
Volume 3 (1995)
Volume 2 (1994)
Most Downloaded Articles
- Masthead
- Conference announcement “Inverse and Ill-Posed Problems of Mathematical Physics” dedicated to the 80th birthday of Academician M. M. Lavrentiev
- Masthead
- The inverse spectral problem for the Sturm–Liouville operator with discontinuous potential by Sedipkov, Aydys A.
- Chemnitz Symposium on Inverse ProblemsChemnitz, Germany, September 27–28, 2007 by Hofmann, B.
Some approaches to reconstruction of nonsmooth solutions of linear ill-posed problems
V. V. Vasin
1Institute of Mathematics and Mechanics UB RAS, Kovalevskaya st., 16, 620219, Ekaterinburg, Russia. Email: vasin@imm.uran.ru
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 6, Pages 625–640, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2007.035, December 2007
Publication History:
- Received:
- 2007-05-08
- Published Online:
- 2007-12-04
Keywords: Ill-posed problem problems; non-smooth solution; Tikhonov regularization; non-differentiable stabilizer; subgradient method
Comments (0)