Results 221 to 230 of about 1,282,583 (256)
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VIBRATION ANALYSIS BY DISCRETE SINGULAR CONVOLUTION
Journal of Sound and Vibration, 2001Summary: This paper explores the utility of a discrete singular convolution algorithm for vibration analysis. A number of different realizations of singular convolution kernels are selected to illustrate the present algorithm. Vibration analysis of strings, rods, beams, diatomic molecules, membranes, waveguides and thin plates are utilized to test ...
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Seepage Analysis with Discrete Singular Convolution Method
2010In this paper, seepage analysis in isotropic environment is presented by discrete singular convolution (DSC) method. This method has been used for solving numerical problems since 1999. The theoretical basis of the method is distribution and wavelet theory.
Attarnejad, R., Rabbanee, M.
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Free vibration analysis of multiple-stepped beams by the discrete singular convolution
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guohui Duan, Xinwei Wang 0004
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Chemical Physics Letters, 2009
A discrete singular convolution (DSC) algorithm was generalized from uniform discretization to nonuniform discretization by introducing a mapping method to regularize the singularities involved. The approach was demonstrated using a radial Schrodinger equation of a hydrogen atom with a Coulomb-like potential that involves a singularity.
K.G. Hu, R.Q. Zhang
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A discrete singular convolution (DSC) algorithm was generalized from uniform discretization to nonuniform discretization by introducing a mapping method to regularize the singularities involved. The approach was demonstrated using a radial Schrodinger equation of a hydrogen atom with a Coulomb-like potential that involves a singularity.
K.G. Hu, R.Q. Zhang
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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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Novel Symplectic Discrete Singular Convolution Method for Hamiltonian PDEs
Communications in Computational Physics, 2016This paper explores the discrete singular convolution method for Hamiltonian PDEs. The differential matrices corresponding to two delta type kernels of the discrete singular convolution are presented analytically, which have the properties of high-order accuracy, bandlimited structure and thus can be excellent candidates for the spatial discretizations
Wenjun Cai, Huai Zhang, Yushun Wang
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Solving quantum eigenvalue problems by discrete singular convolution
Journal of Physics B: Atomic, Molecular and Optical Physics, 2000This paper explores the utility of a discrete singular convolution (DSC) algorithm for solving the Schrodinger equation. DSC kernels of Shannon, Dirichlet, modified Dirichlet and de la Vallee Poussin are selected to illustrate the present algorithm for obtaining eigenfunctions and eigenvalues.
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Discrete singular convolution for the solution of the Fokker–Planck equation
The Journal of Chemical Physics, 1999This paper introduces a discrete singular convolution algorithm for solving the Fokker–Planck equation. Singular kernels of the Hilbert-type and the delta type are presented for numerical computations. Various sequences of approximations to the singular kernels are discussed.
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Journal of Computational Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan, D.C., Patnaik, B.S.V., Wei, G.W.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan, D.C., Patnaik, B.S.V., Wei, G.W.
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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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