Results 181 to 190 of about 287 (213)
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A MOLLIFICATION METHOD FOR ILL-POSED PROBLEMS
Numerische Mathematik, 1994The author develops a general theory of mollification for approximate solution of ill-posed linear problems in Banach space. For a given family of subspaces on which the problem is well-posed the idea is to construct a corresponding family of mollification operators which map the problem into a well-posed problem on the subspace.
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Applied Numerical Mathematics, 2021
In this work, a Cauchy problem for the 3D Helmholtz equation with mixed boundary is studied. The mollification method based on modified bivariate de la Vallée Poussin operator to solve the stated Cauchy problem is used. It is verified that the considered method is stable. The paper is organized as follows. Section 1 is an introduction.
Shangqin He
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In this work, a Cauchy problem for the 3D Helmholtz equation with mixed boundary is studied. The mollification method based on modified bivariate de la Vallée Poussin operator to solve the stated Cauchy problem is used. It is verified that the considered method is stable. The paper is organized as follows. Section 1 is an introduction.
Shangqin He
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Reconstruction of high order derivatives by new mollification methods
Applied Mathematics and Mechanics (English Edition), 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo-Qiang He
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Inverse Problems in Science and Engineering, 2010
In this article, we consider a Cauchy problem of an elliptic equation in a multi-dimensional case. This problem is severely ill-posed: the solution (if it exists) does not depend continuously on the data. To deal with this problem, we propose a mollification method.
Xiao-Li Feng, Chu-Li Fu
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In this article, we consider a Cauchy problem of an elliptic equation in a multi-dimensional case. This problem is severely ill-posed: the solution (if it exists) does not depend continuously on the data. To deal with this problem, we propose a mollification method.
Xiao-Li Feng, Chu-Li Fu
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International Communications in Heat and Mass Transfer, 2011
Abstract In some inverse problem, the convergence of the inverse algorithm is impossible due to the correlation of the involving parameters. Several different approaches have been used to address this problem. This paper proposes a procedure to smooth the temperature data by wavelet transform and mollification method prior to utilizing the Levenberg ...
Farshad Kowsary
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Abstract In some inverse problem, the convergence of the inverse algorithm is impossible due to the correlation of the involving parameters. Several different approaches have been used to address this problem. This paper proposes a procedure to smooth the temperature data by wavelet transform and mollification method prior to utilizing the Levenberg ...
Farshad Kowsary
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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, Shangqin He, Bingxin Zhao
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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, Shangqin He, Bingxin Zhao
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Mollification of Fourier Spectral Methods with Polynomial Kernels
Mathematical Methods in the Applied Sciences, 2023Many attempts have been made in the past to regain the spectral accuracy of the spectral methods, which is lost drastically due to the presence of discontinuity. In this article, an attempt has been made to show that mollification using Legendre and Chebyshev polynomial based kernels improves the convergence rate of the Fourier spectral method ...
Megha Puthukkudi +1 more
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A Mollification Method for Backward Time-Fractional Heat Equation
Acta Mathematica Vietnamica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van Duc, Nguyen +2 more
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A mollification method for a Cauchy problem for the Helmholtz equation
International Journal of Computer Mathematics, 2017ABSTRACTThe 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.
Zhenping Li, C. Xu, M. Lan, Z. Qian
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A mollification regularization method for stable analytic continuation
Mathematics and Computers in Simulation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Liang Deng +3 more
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