# Browsing Mathematics by Title

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• (2011-05-20)
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 ...
• (2011-04-28)
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 ...
• (2012-09-21)
• (2011-05-25)
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 ...
• (2011-06-03)
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 ...
• (2012-03-27)
• (2012-03-27)
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 ...
• (2012-08-09)
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 ...
• (2011-06-06)
Electromagnetic wave scattering by many small particles is studied. An integral equation is derived for the self-consistent field E in a medium, obtained by embedding many small particles into a given region D. The ...
• (2012-07-25)
• (2013-10-16)
Scattering of electromagnetic (EM) waves by one and many small (ka≪1) impedance particles D[subscript m] of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one ...
• (Multidisciplinary Digital Publishing Institute, )
The proposal deals with electromagnetic (EM) wave scattering by one and many small impedance particles of an arbitrary shape. Analytic formula is derived for EM wave scattering by one small impedance particle of an arbitrary ...
• (American Institute of Physics, )
A rigorous theory of electromagnetic (EM) wave scattering by one and many perfectly conducting small bodies of an arbitrary shape is developed. Equation for the effective field is derived in amedium in which many small ...
• (Bentham Open, )
• (Elsevier, )
A proof is given of the global existence and uniqueness of a weak solution to Navier–Stokes equations in unbounded exterior domains.
• (2011-06-15)
An evolution equation, arising in the study of the Dynamical Systems Method (DSM)for solving equations with monotone operators, is studied in this paper. The evolution equation is a continuous analog of the regularized ...
Scalar wave scattering by many small particles of arbitrary shapes with impedance boundary condition is studied. The problem is solved asymptotically and numerically under the assumptions a d where k = 2 = is the ...
• (2012-11-26)
On the basis of recently developed Fourier continuation (FC) methods and associated efficient parallelization techniques, this text introduces numerical algorithms that, due to very low dispersive errors, can accurately ...
• (2011-06-30)
A chamber system is a particular type of edge-labeled graph. We discuss when such chamber systems are or are not associated with a geometry, and when they are buildings. Buildings can give rise to point-line geometries ...
• (2012-08-21)

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