7 citations · 19 across the 5 of their papers we have counts for
11 papers · 1 filter
Determination of the shape of the ear channel
A. G. Ramm
It is proved that the measurement of the acoustic pressure on the ear membrane allows one to determine the shape of the ear channel uniquely.
Analysis of a method for identification of obstacles
Alexander G. Ramm, Semion Gutman
Some difficulties are pointed out in the methods for identification of obstacles based on the numerical verification of the inclusion of a function in the range of an operator. Num…
A nonlinear singular perturbation problem
A. G. Ramm
Let F(u_\ve)+\ve(u_\ve-w)=0 \eqno{(1)} where is a nonlinear operator in a Hilbert space , is an element, and $\ve>0$ is a parameter. Assume that , and $F'(y…
One-dimensional inverse scattering and spectral problems
Alexander G. Ramm
Inverse scattering and spectral one-dimensional problems are discussed systematically in a self-contained way. Many novel results, due to the author are presented. The classical re…
A counterexample to the uniqueness result of Cox and Thompson
A. G. Ramm
A counterexample is given to the uniqueness result given in the paper by J.Cox and K.Thompson, "Note on the uniqueness of the solution of an equation of interest in inverse scatter…
Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative
Alexander G. Ramm, Alexandra B. Smirnova
A new continuous regularized Gauss-Newton-type method with simultaneous updates of the operator $(F^{\pr*}(x(t))F'(x(t))+\ep(t) I)^{-1}$ for solving nonlinear ill-posed equations i…