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Now showing items 1-20 of 86

Analysis of a Newton-Sabatier scheme for inverting fixed-energy phase shifts

Ramm, Alexander G. (2002)
Associahedron, cyclohedron and permutohedron as compactifications of configuration spaces

Lambrechts, Pascal; Turchin, Victor; Volic, Ismar (2010)

As in the case of the associahedron and cyclohedron, the permutohedron can also be defined as an appropriate compactification of a configuration space of points on an interval or on a circle. The construction of the ...
Asymptotic stability of solutions to abstract differential equations

Ramm, Alexander G. (2010)
Bounds on fewnomial exponential sums over Zp.

Cochrane, T.; Pinner, C. (2010)
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)
A counterexample to a uniqueness result

Ramm, Alexander G. (2002)

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 scattering problem”, J. Math.Phys., 11, N3, (1970), ...
Creating desired potentials by embedding small inhomogeneities

Ramm, Alexander G. (2009)
Creating materials with a desired refraction coefficient: numerical experiments.

Indratno, Sapto W.; Ramm, Alexander G. (2010)

A recipe for creating materials with a desired refraction coefficient is implemented numerically. An error estimate is given for the approximate solution of the many-body scattering problem in the case of small scatterers. ...
Description of the degree of nonuniqueness in inverse source problems

Ramm, Alexander G. (1984)

For time-independent and time-dependent inverse source problems the degree of nonuniqueness of solutions is characterized.
DSM for general nonlinear equations

Ramm, Alexander G. (2012)
DSM of Newton type for solving operator equations F(u) = f with minimal smoothness assumptions on F.

Hoang, N. S.; Ramm, Alexander G. (2010)

This paper is a review of the authors’ results on the DSM (Dynamical Systems Method) for solving operator equation (*) F(u) = f. It is assumed that (*) is solvable. The novel feature of the results is the minimal assumption ...
Dynamical systems gradient method for solving ill-conditioned linear algebraic systems

Hoang, N. S.; Ramm, Alexander G. (2010)

A version of the Dynamical Systems Method (DSM) for solving ill-conditioned linear algebraic systems is studied in this paper. An a priori and a posteriori stopping rules are justified. An algorithm for computing the ...
Dynamical Systems Method (DSM) for solving equations with monotone operators without smoothness assumptions on F′(u)

Hoang, N. S.; Ramm, Alexander G. (2010)

A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations F(u) = f with monotone operators F in a Hilbert space is studied in this paper under less restrictive assumptions on the nonlinear ...
Dynamical Systems Method (DSM) for solving nonlinear operator equations in Banach spaces

Ramm, Alexander G. (2012)
The dynamical systems method for solving nonlinear equations with monotone operators

Hoang, N. S.; Ramm, Alexander G. (2010)

A review of the authors’ 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 in place of the exact data. A ...
Dynamical systems method for solving nonlinear equations with monotone operators.

Hoang, N. S.; Ramm, Alexander G. (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 on a discrepancy-type ...
Electromagnetic wave scattering by a small impedance particle of arbitrary shape

Ramm, Alexander G. (2011)
Electromagnetic wave scattering by a small impedance particle: Theory and modeling

Andriychuk, M. I.; Indratno, S. W.; Ramm, Alexander G. (2012)

Electromagnetic (EM) waves, scattered by a small impedance particle of arbitrary shape, embedded in a homogeneous medium, are calculated by a new analytic formula. The range of applicability and the accuracy of this ...
Electromagnetic wave scattering by a thin layer in which many small particles are embedded

Ramm, Alexander G. (2010)

Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of ...

Now showing items 1-20 of 86

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