Discrepancy principle for DSM II

Communications in Nonlinear Science and Numerical Simulation

Volumn 13, Issue 7, 2008, Pages 1256-1263

  Ramm, A G ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

Discrepancy principle; Dynamical systems method (DSM); Evolution equation; Ill posed problems; Spectral theory

Indexed keywords

HILBERT SPACES; LINEAR EQUATIONS; NUMERICAL METHODS;

DYNDISCREPANCY PRINCIPLE; EVOLUTION EQUATION; SPECTRAL THEORY;

DYNAMICAL SYSTEMS;

DYNAMICAL SYSTEMS; HILBERT SPACES; LINEAR EQUATIONS; NUMERICAL METHODS;

EID: 38049031195     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2006.11.006     Document Type: Article

References (8)

1. Ivanov V., Vasin V., and Tanana V. Theory of linear ill-posed problems (1978), Nauka, Moscow [in Russian]
2. Morozov V. Methods of solving incorrectly posed problems (1984), Springer-Verlag, New York
3. Ramm A.G. Inverse problems (2005), Springer, New York
4. Ramm A.G. Discrepancy principle for the dynamical systems method. Commun Nonlinear Sci Numer Simul 10 N1 (2005) 95-101
5. Ramm A.G. Regularization of ill-posed problems with unbounded operators. J Math Anal Appl 271 (2002) 547-550
6. Ramm A.G. On the discrepancy principle. Nonlinear Funct Anal Appl 8 N2 (2003) 307-312
7. Ramm A.G. A new discrepancy principle. J Math Anal Appl 310 (2005) 342-345
8. Ramm A.G. Dynamical systems method for solving operator equations (2007), Elsevier, Amsterdam