38 citations · 49 across the 5 of their papers we have counts for
5 papers
On stable numerical differentiation
N. S. Hoang, A. G. Ramm
Based on a regularized Volterra equation, two different approaches for numerical differentiation are considered. The first approach consists of solving a regularized Volterra equat…
Stable identification of piecewise-constant potentials from fixed-energy phase shifts
Semion Gutman, Alexander G. Ramm
An identification of a spherically symmetric potential by its phase shifts is an important physical problem. Recent theoretical results assure that such a potential is uniquely def…
An approximate method for solving inverse scattering problem with fixed-energy phase shifts
A. G. Ramm, W. Scheid
An approximate method is proposed for the recovery of a compactly supported spherically-symmetric potential from the set of fixed-energy phase-shifts known for all angular momenta.…
Inverse scattering problem with part of the fixed-energy phase shifts
A. G. Ramm
It is found what part of the fixed-energy phase shifts allows one to recover uniquely a compactly supported potential. For example, the knowledge of all phase shifts with even angu…
Property C for ODE and applications to inverse problems
A. G. Ramm
Property C stands for completeness of the set of products of solutions to homogeneous linear differential equations. property C is proved in various formulations for Schrödinger op…