Results 231 to 240 of about 1,282,583 (256)
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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
In this paper, a discrete singular convolution (DSC) algorithm is introduced to solve Fisher's equation, to which obtaining an accurate and reliable traveling wave solution is a challenging numerical problem. Two novel numerical treatments, a moving frame scheme and a new asymptotic scheme, are designed to overcome the subtle difficulties involved in ...
Shan Zhao 0001, Guo-Wei Wei 0001
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In this paper, a discrete singular convolution (DSC) algorithm is introduced to solve Fisher's equation, to which obtaining an accurate and reliable traveling wave solution is a challenging numerical problem. Two novel numerical treatments, a moving frame scheme and a new asymptotic scheme, are designed to overcome the subtle difficulties involved in ...
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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Recursive update-discrete singular convolution method for modeling highly resonant structures
2011 IEEE International Symposium on Antennas and Propagation (APSURSI), 2011This paper presents a new frequency-domain technique for modeling highly resonant structures. A recursive update (RU) scheme is adopted to solve Maxwell's equations. The discrete singular convolution (DSC) method is applied to discretize the curl operators in Maxwell's equations, and a regularization technique is utilized to treat arbitrarily oriented ...
null Huapeng Zhao, null Zhongxiang Shen
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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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A NEW BENCHMARK QUALITY SOLUTION FOR THE BUOYANCY-DRIVEN CAVITY BY DISCRETE SINGULAR CONVOLUTION
Numerical Heat Transfer, Part B: Fundamentals, 2001This article introduces a high-accuracy discrete singular convolution (DSC) for the numerical simulation of coupled convective heat transfer problems. The problem of a buoyancy-driven cavity is solved by two completely independent numerical procedures.
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DISCRETE SINGULAR CONVOLUTION FOR PLATE VIBRATION ANALYSIS
Structural Stability and Dynamics, 2002G. W. Wei, Y. B. Zhao, Y. Xiang
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