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Wavelets generated by using discrete singular convolution kernels
Journal of Physics A: Mathematical and General, 2000Summary: This paper explores the connection between wavelet methods and an efficient computational algorithm -- the discrete singular convolution (DSC). Many new DSC kernels are constructed and they are identified as wavelet scaling functions. Two approaches are proposed to generate wavelets from DSC kernels.
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Vibration analysis of stepped rectangular plates by the discrete singular convolution algorithm
International Journal of Mechanical Sciences, 2014Abstract A novel scheme in using discrete singular convolution (DSC) algorithm is proposed for analyzing the challenging vibration problem of thin plates with geometric discontinuity. An nth-order interpolation polynomial is employed on each side of a step.
Guohui Duan, Xinwei Wang
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Discrete singular convolution method for buckling analysis of rectangular Mindlin plates
The IES Journal Part A: Civil & Structural Engineering, 2009The discrete singular convolution (DSC) method is proposed for solving the elastic buckling problem of thick rectangular plates under a uniaxial compressive loading. To allow for the effect of transverse shear deformation in thick plates, the Mindlin plate theory has been adopted. The numerical results are checked against available analytical and other
H. Ersoy, Ö. Civalek, M. Gürses
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Advances in Engineering Software, 2011
The free vibration analysis of Timoshenko beams with various combinations of boundary conditions are performed by using the discrete singular convolution (DSC). Since Timoshenko beams with clamped-free, pinned-free, slide-free, and free-free boundaries have not been successfully solved by using the DSC thus far, the main objective of the present paper ...
Suming Xu, Xinwei Wang 0004
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The free vibration analysis of Timoshenko beams with various combinations of boundary conditions are performed by using the discrete singular convolution (DSC). Since Timoshenko beams with clamped-free, pinned-free, slide-free, and free-free boundaries have not been successfully solved by using the DSC thus far, the main objective of the present paper ...
Suming Xu, Xinwei Wang 0004
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Structural Engineering and Mechanics, 2010
A methodology on application of the discrete singular convolution (DSC) technique to the free vibration analysis of thin plates with curvilinear quadrilateral platforms is developed. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation.
CİVALEK, ÖMER, Ozturk, BAKİ
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A methodology on application of the discrete singular convolution (DSC) technique to the free vibration analysis of thin plates with curvilinear quadrilateral platforms is developed. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation.
CİVALEK, ÖMER, Ozturk, BAKİ
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APPLICATIONS OF DISCRETE SINGULAR CONVOLUTION ALGORITHM IN ONE-ELECTRON SYSTEMS: HYDROGEN ATOM
Journal of Theoretical and Computational Chemistry, 2009The application of discrete singular convolution (DSC) algorithm in solving the Schrödinger equation of one-electron systems was attempted with a hydrogen atom as an example. Using the uniform discretization and Shannon kernel, the Schrödinger equations were solved in spherical coordinates.
KAIGE HU, LONG YU, RUIQIN ZHANG
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Elastic Wavefield Modeling by the Symplectic Discrete Singular Convolution Differentiator Method
Chinese Journal of Geophysics, 2012AbstractIn this paper, we introduce a structure‐preserving method based on the symplectic discrete singular convolution differentiator (SDSCD) for simulating elastic wave fields. In the method presented for solving elastic wave equations, physical space is discretized by the singular convolution differentiator, whereas a symplectic difference scheme is
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Archives of Computational Methods in Engineering, 2019
The discrete singular convolution (DSC) algorithm is a relatively new numerical method. It has not only the advantage of high accuracy of global methods but also the advantage of the flexibility of local methods, and thus has been projected by its proponents as one of the potential alternative approaches to the conventional finite element method ...
Xinwei Wang, Zhangxian Yuan, Jian Deng
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The discrete singular convolution (DSC) algorithm is a relatively new numerical method. It has not only the advantage of high accuracy of global methods but also the advantage of the flexibility of local methods, and thus has been projected by its proponents as one of the potential alternative approaches to the conventional finite element method ...
Xinwei Wang, Zhangxian Yuan, Jian Deng
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Vibration analysis of conical panels using the method of discrete singular convolution
Communications in Numerical Methods in Engineering, 2006AbstractA discrete singular convolution (DSC) free vibration analysis of conical panels is presented. Regularized Shannon's delta kernel (RSK) is selected as singular convolution to illustrate the present algorithm. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC.
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Two classes of linear equations of discrete convolution type with harmonic singular operators
Complex Variables and Elliptic Equations, 2015In this paper, we investigate two classes of linear equations of discrete convolution type with harmonic singular operator. Using the Laurent transform theory, we turn the above linear equations into Riemann boundary value problems. Then, the solutions of the equations are obtained in the class of Holder continuous functions.
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