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- N. S. Hoang, Anita Ramm
- 2008

An iterative scheme for solving ill-posed nonlinear operator equations with monotone operators is introduced and studied in this paper. A discrete version of the Dynamical Systems Method (DSM)â€¦ (More)

- N. S. Hoang, Anita Ramm
- 2009

The governing equation is ut= a x ux x, 0 x 1, t 0, u x ,0 =0, u 0, t =0, a 1 u 1, t = f t . The extra data are u 1, t =g t . It is assumed that a x is a piecewise-constant function and f 0. It isâ€¦ (More)

- N. S. Hoang, Anita Ramm
- 2008

A version of the Dynamical Systems Method for solving ill-posed nonlinear monotone operator equations is studied in this paper. A discrepancy principle is proposed and justified. A numericalâ€¦ (More)

- N. S. Hoang, Anita Ramm
- 2009

A nonlinear inequality is formulated in the paper. An estimate of the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems andâ€¦ (More)

- N. S. Hoang, Alexander G. Ramm
- Math. Comput.
- 2010

A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopping rule, based onâ€¦ (More)

- N. S. Hoang, Anita Ramm, Anita Ramm
- 2008

An iterative scheme for the Dynamical Systems Method (DSM) is given such that one does not have to solve the Cauchy problem occuring in the application of the DSM for solving illconditioned linearâ€¦ (More)

- N. S. Hoang, Anita Ramm
- 2009

A review of the authorsâ€™s results is given. Several methods are discussed for solving nonlinear equations F (u) = f , where F is a monotone operator in a Hilbert space, and noisy data are given inâ€¦ (More)

- N. S. Hoang
- 2009

An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper. The evolution equation is a continuousâ€¦ (More)

- N. S. Hoang, Anita Ramm
- 2008

A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter a(Î´) isâ€¦ (More)

- N. S. Hoang, Anita Ramm
- 2008

A quadratic inequality is formulated in the paper. An estimate of the rate of decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems andâ€¦ (More)