7 citations · 19 across the 5 of their papers we have counts for
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math-ph2004★ 2 cited
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…
math.AP2004★ 7 cited
Numerical Solution of Obstacle Scattering Problems
Alexander G. Ramm, Semion Gutman
Some novel numerical approaches to solving direct and inverse obstacle scattering problems (IOSP) are presented. Scattering by finite obstacles and by periodic structures is consid…
math-ph2004★ 3 cited
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…