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Fast wavelet collocation method for three-dimensional Hammerstein equation
Radiation Effects and Defects in Solids, 2016ABSTRACTIn this paper, we extend the wavelet collocation method to a class of three-dimensional Hammerstein equation with weakly singular kernel. Three-dimensional wavelets and collocation polynomials on the unit cube are constructed. A fast wavelets collocation method is obtained by the use of a practical block truncation strategy.
Xingwang Chen, Hideaki Kaneko
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Numerical modeling of electromagnetics via a wavelet-collocation method
IEEE Antennas and Propagation Society Symposium, 2004., 2004A wavelet-collocation scheme, constructed from the discrete singular convolution (DSC) is presented for computational electromagnetics. To illustrate the usefulness, test the accuracy and explore the limitations of the wavelet algorithm, four test problems are considered: waveguide analysis in both regular and irregular domains; electromagnetic wave ...
null Gang Bao, G.W. Wei, null Shan Zhao
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Adaptive wavelet collocation method simulations of Rayleigh–Taylor instability
Physica Scripta, 2010Numerical simulations of single-mode, compressible Rayleigh–Taylor instability are performed using the adaptive wavelet collocation method (AWCM), which utilizes wavelets for dynamic grid adaptation. Due to the physics-based adaptivity and direct error control of the method, AWCM is ideal for resolving the wide range of scales present in the ...
S J Reckinger, D Livescu, O V Vasilyev
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Time Domain Model Order Reduction by Wavelet Collocation Method
Proceedings of the Design Automation & Test in Europe Conference, 2006In this paper, a wavelet based approach is proposed for the model order reduction of linear circuits in time domain. Compared with Chebyshev reduction method, the wavelet reduction approach can achieve smaller reduced order circuits with very high accuracy, especially for those circuits with strong singularities.
null Xuanzeng +5 more
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The collocation method for Hammerstein equations by Daubechies wavelets
Applied Mathematics and Computation, 2006The numerical solution of a nonlinear integral equation of Hammerstein type \[ y(t)=f(t)+\int_0^1 k(t,s)g(s,y(s))\,ds,\quad t\in [0,1]\tag{\(*\)} \] is considered. The standard collocation method and Daubechies wavelets are combined to obtain approximate solutions of (\(*\)).
Maleknejad, K., Derili, H.
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A Haar Wavelet Collocation Method for Inverse Problem
This article demonstrates the Haar wavelet collocation method as an effective strategy for solving the Black-Scholes model with various types of options. The Black-Scholes model is an inverse problems and formulated as a backward parabolic partial differential equation.Muhammad Ahsan +4 more
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WAVELET-BASED ADAPTIVE COLLOCATION METHOD FOR THE RESOLUTION OF NONLINEAR PDEs
International Journal of Wavelets, Multiresolution and Information Processing, 2007Theoretical modeling of dynamic processes in chemical engineering often implies the numeric solution of one or more partial differential equations. The complexity of such problems is increased when the solutions exhibit sharp moving fronts. An efficient adaptive multiresolution numerical method is described for solving systems of partial differential ...
Karami, A. +3 more
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Wavelet-like collocation method for finite-dimensional reduction of distributed systems
Computers & Chemical Engineering, 2000Abstract A wavelet-like collocation method is proposed to approach the reduction of dissipative distributed systems, expressed by means of partial differential equations, applying the methods of inertial manifold theory. The collocation method proposed, based on localized trial functions, provides a convenient numerical framework to develop ...
ADROVER, Alessandra +4 more
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Convergence in Wavelet Collocation Methods for Parabolic Problems
Journal of Partial Differential Equations, 2019Jianbin Zhao, Siwen Li, Hua Li
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