Results 211 to 220 of about 2,608 (269)

Wavelet-based Numerical Methods

International Journal of Computational Fluid Dynamics, 1998
Abstract This paper will give an overview of wavelet methods applied to computational fluid dynamics, including scale resolution, grid and order selection throughout a domain. In addition, Spline-based wavelet methods will be placed in the context of finite elements where the element size is adjusted throughout the domain.
L. JAMESON, T. ADACHI, O. UKAI, A. YUASA
openaire   +1 more source

Wavelet-numerical method in crack analysis

Applied Mathematics and Mechanics, 2000
Properties of wavelet of good localization were used to approximate displacement fields near the crack tip. Wavelet-numerical algorithm and simulation singularity problem of the crack tip were established. As an example, stress intensity factors were obtained. The numerical results show that this algorithm has good precision.
Shen, Yuantong, Yi, Xuming
openaire   +2 more sources

A wavelet-Galerkin method for high order numerical differentiation

Applied Mathematics and Computation, 2010
The authors propose a method to approximate derivative information of high order for a function from the real numbers to the real numbers. For this purpose, they combine Meyer wavelets and a Galerkin approach. The approach allows also noisy function data stemming for example from measurements.
Fang-Fang Dou, Chu-Li Fu, Yun-Jie Ma
openaire   +1 more source

A wavelet regularization method for solving numerical analytic continuation

International Journal of Computer Mathematics, 2014
In this paper we consider the problem of analytic continuation of analytic function on a strip domain, where the data are given only on the real axis. This is an ill-posed problem. The occurrence of its ill-posedness is intrinsically due to the high-frequency perturbation of data. However, Meyer wavelet has compact support in the frequency space.
Xiaoli Feng, Wantao Ning
openaire   +1 more source

A wavelet method for numerical fractional derivative with noisy data

International Journal of Wavelets, Multiresolution and Information Processing, 2016
Numerical fractional differentiation is a classical ill-posed problem in the sense that a small perturbation in the data can cause a large change in the fractional derivative. In this paper, we consider a wavelet regularization method for solving a reconstruction problem for numerical fractional derivative with noise.
Xiangtuan Xiong   +3 more
openaire   +1 more source

Numerical solutions for orthogonal wavelet filters by Newton method

Signal Processing: Image Communication, 1999
Abstract The wavelet transform has recently generated much interest in applied mathematics, signal processing and image coding. Mallat (1989) used the concept of the function space as a bridge to link the wavelet transform and multiresolution analysis.
Long-Wen Chang, Yuh-Erl Shen
openaire   +1 more source

Numerical study of Fisher's equation by wavelet Galerkin method

International Journal of Computer Mathematics, 2006
Fisher's equation, which describes the logistic growth–diffusion process and occurs in many biological and chemical processes, has been studied numerically by the wavelet Galerkin method. Wavelets are functions which can provide local finer details. The solution of Fisher's equation has a compact support property and therefore Daubechies' compactly ...
R. C. Mittal, Sumit Kumar
openaire   +1 more source

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