Results 221 to 230 of about 4,172 (259)
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Domain decomposition method with wavelet collocation
2010 3rd International Congress on Image and Signal Processing, 2010A new domain decomposition method based on wavelet collocation is developed in this paper. The method slows down the ill-conditioned problem caused by much larger condition number of the coefficient matrix when wavelet collocation is used for solving partial differential equations defined large-scale regions. Moreover, the method is applied to elliptic
Baoyan Fang +2 more
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Wavelet collocation methods for solving neutral delay differential equations
International Journal of Nonlinear Sciences and Numerical Simulation, 2021Abstract In this paper, we proposed wavelet based collocation methods for solving neutral delay differential equations. We use Legendre wavelet, Hermite wavelet, Chebyshev wavelet and Laguerre wavelet to solve the neutral delay differential equations numerically. We solved five linear and one nonlinear problem to demonstrate the accuracy
Faheem, Mo, Raza, Akmal, Khan, Arshad
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Hybrid wavelet collocation–Brinkman penalization method for complex geometry flows
International Journal for Numerical Methods in Fluids, 2002AbstractThis paper introduces the hybrid wavelet collocation–Brinkman penalization method for solving the Navier–Stokes equations in arbitrarily complex geometries. The main advantages of the wavelet collocation method and penalization techniques are described, and a brief summary of their implementation is given. The hybrid method is then applied to a
Vasilyev, O.V., Kevlahan, N.K.-R.
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An adaptive wavelet-collocation method for shock computations
International Journal of Computational Fluid Dynamics, 2009A simple and robust method for solving hyperbolic conservation equations based on the adaptive wavelet-collocation method, which uses a dynamically adaptive grid, are presented. The method utilises natural ability of wavelet analysis to sense localised structures and is based on analysis of wavelet coefficients on the finest level of resolution to ...
J. D. Regele, O. V. Vasilyev
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Multi-Symplectic Wavelet Collocation Method for Maxwell’s Equations
Advances in Applied Mathematics and Mechanics, 2011AbstractIn this paper, we develop a multi-symplectic wavelet collocation method for three-dimensional (3-D) Maxwell’s equations. For the multi-symplectic formulation of the equations, wavelet collocation method based on autocorrelation functions is applied for spatial discretization and appropriate symplectic scheme is employed for time integration ...
Huajun Zhu, Songhe Song, Yaming Chen
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Collocation Method Using Wavelet for Partial Differential Equation
Indian Journal of Industrial and Applied Mathematics, 2017This article discusses numerical collocation approach for solving partial differential equation. The test problem of heat equation depicts close resemblance to their exact solutions which is obtained from computer implementation of the method. The method uses Haar wavelet as basis and the orthonormal properties of Haar help in simplified calculation ...
K.P. Mredula, D.C. Vakaskar
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Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind
Qualitative Theory of Dynamical Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yadav, Pooja, Jahan, Shah, Nisar, K. S.
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Using wavelets for solving PDEs: an adaptive collocation method
Chemical Engineering Science, 2001The purpose of the author in this communication is to introduce the chemical engineering community to the basic features of wavelet-based adaptive collocation methods for solving PDEs (partial derivative equations) and to give an illustration of its powerful capabilities.
Paulo Cruz +2 more
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2018
Collocation method involves numerical operators acting on point values (collocation points) in the physical space. Generally, wavelet collocation methods are created by choosing a wavelet and some kind of grid structure which will be computationally adapted.
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Collocation method involves numerical operators acting on point values (collocation points) in the physical space. Generally, wavelet collocation methods are created by choosing a wavelet and some kind of grid structure which will be computationally adapted.
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Fast wavelet collocation method for WDM system parameter optimization
Journal of Lightwave Technology, 2004Using a wavelet collocation method, which is substantially faster than the standard split-step Fourier method, accurate optimizations of WDM system parameters become possible. For a typical 40-Gbit/s system, the optimum power level is determined and compared to analytical approximations.
Kremp, Tristan, Freude, Wolfgang
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