Results 201 to 210 of about 28,903,831 (255)

A mollification method for a Cauchy problem for the Helmholtz equation

International Journal of Computer Mathematics, 2017
ABSTRACTThe Cauchy problem for the Helmholtz equation is considered. This problem is severely ill-posed, that is, the solution does not depend continuously on the data.
Z. P. Li, C. Xu, M. Lan, Z. Qian
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Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method

Computers & Mathematics with Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wen, Ding, Zirong, Wang, Zewen, Ruan, Zhousheng   +3 more
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A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem

International Journal of Computer Mathematics, 2023
We consider solving the Cauchy problem of the Schrödinger equation with potential-free field by a mollification regularization method in this work. By convolving the measured data with the Dirichlet kernel, the ill-posed case is turned into a well-posed ...
Lan Yang, Lin Zhu, Shangqin He
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A mollification regularization method for identifying the time-dependent heat source problem

Journal of Engineering Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Fan, Fu, Chu-Li, Li, Xiao-Xiao
semanticscholar   +4 more sources

Regularization of the Time‐Fractional Order SchröDinger Problem by Using the Mollification Regularization Method

Mathematical Methods in the Applied Sciences
ABSTRACTThis study investigates the solution of an ill‐posed time‐fractional order Schrödinger equation using a mollification regularization technique of the Dirichlet kernel. The Dirichlet regularized solution is obtained through convolution of the Dirichlet kernel with real measured data.
Lan Yang, Lin Zhu, Shangqin He, Bingxin Zhao   +3 more
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Numerical analytic continuation by a mollification method based on Hermite function expansion

Inverse Problems, 2012
The numerical analytic continuation of a function f(z) = f(x + iy) on a strip is discussed in this paper. Data are only given approximately on the real axis. A mollification method based on expanded Hermite functions has been introduced to deal with the ill-posedness of the problem.
Zhen-yu Zhao
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Some Applications of the Mollification Method

2001
The Mollification Method is a filtering procedure that is appropriate for the regularization of a variety of ill-posed problems. In this review, we briefly introduce the method, including its main feature, which is its ability to automatically select regularization parameters.
C. E. Mejía, D. A. Murio, S. Zhan
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An a posteriori mollification method for the heat equation backward in time

Journal of Inverse and Ill-posed Problems, 2016
Abstract The heat equation backward in time u t
N. Duc
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An Adaptive and Fully Automated Baseline Correction Method for Raman Spectroscopy Based on Morphological Operations and Mollification

Applied Spectroscopy, 2018
Baseline drift is a commonly identified and severe problem in Raman spectra, especially for biological samples. The main cause of baseline drift in Raman spectroscopy is fluorescence generated within the sample. If left untreated, it will affect the following qualitative or quantitative analysis. In this paper, an adaptive and fully automated baseline
Hao Chen, Weiliang Xu, Neil G.R. Broderick   +2 more
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A New Mollification Method for Numerical Differentiation of 2D Periodic Functions

2009 International Joint Conference on Computational Sciences and Optimization, 2009
In this paper, we present a new method for numerical differentiation of bivariate periodic functions when a set of noisy data is given. TSVD is chosen as the needed regularization technique. It turns out the new method coincides with some type of truncated Fourier series approach. A numerical example is also given to show the efficiency of the method.
Zhenyu Zhao, Zehong Meng, Li Xu, Junfeng Liu   +3 more
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