Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
IMPACT FACTOR 2016: 0.783
5-year IMPACT FACTOR: 0.792
CiteScore 2016: 0.80
SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106
Mathematical Citation Quotient (MCQ) 2015: 0.43
On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space
- Institute for Systems Analysis of RAS, Moscow, Russia. Email: firstname.lastname@example.org
- Mary State University, Yoshkar-Ola, Russia. Email: email@example.com
- Mary State University, Yoshkar-Ola, Russia. Email: firstname.lastname@example.org
We consider an ill-posed Cauchy problem for an abstract linear differential equation of the first order in a Hilbert space. Both the operator and the initial state are supposed to be noisy. For solving the problem, a class of finite difference methods is used. Coordinating the mesh width with error levels we obtain logarithmic error estimates for the methods of this class.
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