Results 231 to 240 of about 2,067 (261)
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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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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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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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The European Physical Journal Plus, 2017
A modified discrete singular convolution method is proposed. The method is based on the single (SE) and double (DE) exponential transformation to speed up the convergence of the existing methods. Numerical computations are performed on a wide variety of singular boundary value and singular perturbed problems in one and two dimensions.
Edson Pindza, Eben Maré
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A modified discrete singular convolution method is proposed. The method is based on the single (SE) and double (DE) exponential transformation to speed up the convergence of the existing methods. Numerical computations are performed on a wide variety of singular boundary value and singular perturbed problems in one and two dimensions.
Edson Pindza, Eben Maré
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SIAM Journal on Scientific Computing, 2003
Fisher's equation represents the evolution of the population due to the two competing physical processes, diffusion and nonlinear local multiplication. From mathematical point of wiev it is a one-dimensional nonlinear parabolic partial differential equation of the form \[ {\partial u \over \partial t}= \mu { \partial^2 u \over \partial x^2} +\rho u(1-u)
Shan Zhao 0001, Guo-Wei Wei 0001
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Fisher's equation represents the evolution of the population due to the two competing physical processes, diffusion and nonlinear local multiplication. From mathematical point of wiev it is a one-dimensional nonlinear parabolic partial differential equation of the form \[ {\partial u \over \partial t}= \mu { \partial^2 u \over \partial x^2} +\rho u(1-u)
Shan Zhao 0001, Guo-Wei Wei 0001
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Discrete singular convolution for fourth-order multi-term time fractional equation
Tbilisi Mathematical Journal, 2021This paper studies the fourth-order problem with multi-term time fractional integral operator under simply supported type conditions. We first introduce a novel computational approach, the discrete singular convolution (DSC) algorithm, for analyzing this problem.
Liu, Xingguo +3 more
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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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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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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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