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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 51
  3. Computational Mathematics and Mathematical Physics : Volume 51, Issue 8, August 2011
  4. Null field method in wave diffraction problems
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 51, Issue 12, December 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 11, November 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 10, October 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 9, September 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 8, August 2011
Optimality parameter of Korobov parallelepipedal grids for cubature formulas
On the construction of approximations to continuous functions under integral boundary conditions
An application of the nonuniform covering method to global optimization of mixed integer nonlinear problems
The method of medians in the problem of ranking interval objects specified by three points
Relaxation oscillations and diffusion chaos in the Belousov reaction
Cauchy problem for the Mathieu equation away from parametric resonance
Explicit adaptive Runge-Kutta methods for stiff and oscillation problems
Existence of a complex closed trajectory in a three-dimensional dynamical system
Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
Symmetry analysis and exact explicit solutions for Kadomtsev-Petviashvili-Burgers equation
Numerical methods for determining the inhomogeneity boundary in a boundary value problem for Laplace’s equation in a piecewise homogeneous medium
Null field method in wave diffraction problems
Justification of the stabilization method for a mathematical model of charge transport in semiconductors
Dimension reduction in fluid dynamics equations
Asymptotic estimates for the number of solutions of the dualization problem and its generalizations
Variational relevance vector machine for classification and regression problems with multidimensional feature arrays
Comparative study of texture detection and classification algorithms
Computational Mathematics and Mathematical Physics : Volume 51, Issue 7, July 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 6, June 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 5, May 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 4, April 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 3, March 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 2, February 2011
Computational Mathematics and Mathematical Physics : Volume 51, Issue 1, January 2011
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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Null field method in wave diffraction problems

Content Provider Springer Nature Link
Author Eremin, Yu. A. Sveshnikov, A. G. Skobelev, S. P.
Copyright Year 2011
Abstract Diffraction by an impermeable scatterer in ℝ$^{3}$ with a Dirichlet boundary condition is considered. It is shown that the null field equation is equivalent to the original diffraction problem. The general theoretical constructions are illustrated by analyzing the excitation of a sphere by a point source. The evolution of the residual of the null field equation as the scatterer surface is approached by an auxiliary surface is estimated.
Starting Page 1391
Ending Page 1394
Page Count 4
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 51
Issue Number 8
e-ISSN 15556662
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2011-08-17
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword diffraction problem null field method error estimation Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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