Browsing by Keywords "Equations"
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Dynamical systems and Poisson structures
(American Institute of Physics, 2009)We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamical systems in ℝ3 are locally biHamiltonian. An algorithm is introduced to obtain Poisson structures of a given dynamical ... 
On the classification of Darboux integrable chains
(American Institute of Physics, 2008)We study differentialdifference equation (d/dx) t (n+1,x) =f (t (n,x),t (n+1,x), (d/dx) t (n,x)) with unknown t (n,x) depending on continuous and discrete variables x and n. Equation of such kind is called Darboux integrable, ... 
Preconditioning large integralequation problems involving complex targets
(IEEE, 200807)When the target problem is small in terms of the wavelength, simple preconditioners, such as BDP, may sufficiently accelerate the convergence. On the other hand, for largescale problems, the matrix equations become much ... 
Radar crosssection study of cylindrical cavitybacked apertures with outer or inner material coating: the case of Hpolarization
(Institute of Electrical and Electronics Engineers, 199505)A dualseriesbased solution is obtained for the scattering of an Hpolarized plane wave from a slitted infinite circular cylinder coated with absorbing material from inside or outside. For both cases, numerical results ... 
Simulating a wavelengthsize 2D lens with an accurate numerical method
(IEEE, 2001)The effect of a localized light source directivity improvement due to an arbitrarily shaped dielectric cylinder taken as a 2D model of a dielectric lens is studied. The source is simulated by the field of a complex ... 
Transient analysis of nonlinear circuits by combining asymptotic waveform evaluation with volterra series
(Institute of Electrical and Electronics Engineers, 199508)A new method is proposed for the transient analysis of circuits with large number of linear lumped elements and lossy coupled transmission lines, and with few mildly nonlinear terminations. The method combines the ...