Results 151 to 160 of about 10,988,171 (189)
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The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem
SIAM Journal on Scientific and Statistical Computing, 1981We show how the inverse problem can be stabilized by reconstructing a slightly “blurred” image of the unknowns. The numerical problem is solved with an absolute minimum of computation and the proposed method is favorably compared against others commonly in use.
Diego A Murio
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Computers and Mathematics With Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhousheng Ruan, Zewen Wang
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhousheng Ruan, Zewen Wang
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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.
Chu-Li Fu, Xiao-Li Feng
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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.
Chu-Li Fu, Xiao-Li Feng
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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.
Shangqin He, Lan Yang
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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.
Shangqin He, Lan Yang
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, 2018 Supplemental Material for An Adaptive and Fully Automated Baseline Correction Method for Raman Spectroscopy Based on Morphological Operations and Mollification by Hao Chen, Weiliang Xu and Neil G.R.
Chen, Hao +2 more
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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 ...
Megha Puthukkudi +1 more
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Surface fitting and numerical gradient computations by discrete mollification [PDF]
Computers and Mathematics With Applications, 1999 We review the δ-mollification procedure for automatic fitting of surfaces defined from discrete noisy data functions in R2. As a further application, the stable numerical computation of gradient fields from discrete noisy data is also investigated.
D A Murio
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