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Browsing Mathematics Faculty Research and Publications by Published Date

Browsing Mathematics Faculty Research and Publications by Published Date "2011"

Now showing items 1-17 of 17

A collocation method for solving some integral equations in distributions

Ramm, Alexander G.; Indratno, Sapto W. (2011)
A collocation method for solving some integral equations in distributions

Indratno, Sapto W.; Ramm, Alexander G. (2011)
Electromagnetic wave scattering by a small impedance particle of arbitrary shape

Ramm, Alexander G. (2011)
How large is the class of operator equations solvable by a DSM Newton-type method?

Ramm, Alexander G. (2011)
Nonlinear differential inequality

Hoang, N. S.; Ramm, Alexander G. (2011)

A nonlinear differential inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear ...
Numerical solution of many-body wave scattering problem for small particles and creating materials with desired refraction coefficient

Andriychuk, M. I.; Ramm, Alexander G. (InTech, 2011)
On the DSM version of Newton's method

Ramm, Alexander G. (2011)
Scattering by many small inhomogeneities and applications

Ramm, Alexander G. (World Scientific, 2011)

Many-body quantum-mechanical scattering problem is solved asymptotically when the size of the scatterers (inhomogeneities) tends to zero and their number tends to infinity. A method is given for calculation of the number ...
Scattering of electromagnetic waves by many thin cylinders

Ramm, Alexander G. (2011)
Scattering of scalar waves by many small particles

Ramm, Alexander G. (2011)

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is ...
Scattering of scalar waves by many small particles

Ramm, Alexander G. (2011)

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is ...
Some nonlinear inequalities and applications

Hoang, N. S.; Ramm, Alexander G. (2011)
Stability of solutions to some evolution problems

Ramm, Alexander G. (2011)
Uniqueness of the solution to inverse scattering problem with non-overdetermined data

Ramm, Alexander G. (Centecorp Publishing, 2011)
Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave

Ramm, Alexander G. (2011)

Let q(x) be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data A(β, α[subscript]0, k) ∀β ∈ S[superscript]2, ∀k > 0, determine q uniquely. Here, α[subscript]0 ∈ S[superscript]2 ...
Wave scattering by many small bodies and applications.

Ramm, Alexander G.; Rona, A. (2011)

Wave scattering problem by many bodies is studied in the case when the bodies are small, ka 1, where a is the characteristic size of a body. The limiting case when a → 0 and the total number of the small bodies is M = ...
Wave scattering by small bodies and creating materials with a desired refraction coefficient

Ramm, Alexander G. (2011)

In this paper the author’s invited plenary talk at the 7-th PACOM (Pan African Congress of Mathematicians), is presented. Asymptotic solution to many-body wave scattering problem is given in the case of many small scatterers. ...

Now showing items 1-17 of 17

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