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Browsing Mathematics by Title

Hoang, N. S.; Ramm, Alexander G.
(2010)
A version of the Dynamical Systems Method (DSM) for solving illposed nonlinear equations with monotone operators in a Hilbert space is studied in this paper. An a posteriori stopping rule, based on a discrepancytype ...

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 ...

Ramm, Alexander G.
(2011)

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 ...

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 ...

Ramm, Alexander G.
(2010)
Electromagnetic wave scattering by many small particles is studied. An integral equation is derived for the selfconsistent field E in a medium, obtained by embedding many small particles into a given region D.
The ...

Ramm, Alexander G.
(2012)

Ramm, Alexander G.
(2013)
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 ...

Ramm, Alexander G.
(Multidisciplinary Digital Publishing Institute, 2014)
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 ...

Ramm, Alexander G.
(American Institute of Physics, 2014)
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 ...

Ramm, Allexander G.
(Bentham Open, 2015)

Ramm, Alexander G.
(Elsevier, 2015)
A proof is given of the global existence and uniqueness of a weak solution to
Navier–Stokes equations in unbounded exterior domains.

Ramm, Alexander G.; Hoang, N. S.
(2009)
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 ...

Ramm, Alexander G.; Tran, Nhan Thanh
(World Academic Publishing, 2015)
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 ...

Albin, Nathan L.; Bruno, Oscar P.; Cheung, Theresa Y.; Cleveland, Robin O.
(2012)
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 ...

Shult, Ernest
(2009)
A chamber system is a particular type of edgelabeled 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
pointline geometries ...

Ramm, Alexander G.
(1998)

Ramm, Alexander G.
(2013)
The heat equation is considered in the complex system consisting of many small
bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newtontype boundary condition is imposed. An equation ...

Turchin, Victor
(2010)
The paper describes a natural splitting in the rational homology and homotopy of the spaces of long knots. This decomposition presumably arises from the cabling maps in the same way as a natural decomposition in the homology ...

Diaconescu, DuiliuEmanuel; Hua, Zheng; Soibelman, Yan
(2012)
Hilbert scheme topological invariants of plane curve singularities are identified to framed threefold stable pair invariants. As a result, the conjecture of Oblomkov and Shende on HOMFLY polynomials of links of plane curve ...