Xianyang Zhu

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A three-dimensional multi-resolution time-domain (MRTD) analysis is presented based on a biorthogonal-wavelet expansion, with application to electromagnetic-scattering problems. We employ the Cohen-Daubechies-Feauveau (CDF) biorthogonal wavelet basis, characterized by the maximum number of vanishing moments for a given support. We utilize wavelets and(More)
The three-dimensional biorthogonal multiresolution time-domain (Bi-MRTD) method is presented for both free-space and half-space scattering problems. The perfectly matched layer (PML) is used as an absorbing boundary condition. It has been shown that improved numerical-dispersion properties can be obtained with the use of smooth, compactly supported wavelet(More)
The multiresolution time domain (MRTD) is used to analyze wide-band plane-wave scattering from general dielectric targets embedded in a lossy half-space, with free-space scattering as a special case. A Haar wavelet expansion is used for simplicity, this constituting a generalization of the widely used finite-difference time-domain (FDTD) method. In addition(More)
and Applied Analysis 3 where CD 0 is the Caputo’s fractional derivative, a1, a2, b1, b2, d1, and d2 are real numbers, 0 < η1, and η2 < 1. In 20 , Stanĕk has discussed the existence of positive solutions for the singular fractional boundary value problem Du t f ( t, u, u′, Du ) 0, 2 < q < 3, 0 < p < 1, u 0 0, u′ 0 u′ 1 0. 1.7 However, to the best of the(More)
BACKGROUND We retrospectively reported our 26-year experience with operative repair of total anomalous pulmonary venous connection (TAPVC) with biventricular physiology. METHODS Between December 1982 and December 2008, 122 TAPVC patients with biventricular heart underwent surgical repair in our department. Moderate or deep hypothermia was induced at the(More)
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