Results 111 to 120 of about 202 (148)
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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.
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IMA Journal of Numerical Analysis, 1992
The process of grinding and polishing optical surfaces using a Computer Numerically Controlled machine produces a machine material removal profile. The profiles achievable by the machine depend on the nature of the tool used in the process, and the tool center motions.
C. A. HALL, T. A. PORSCHING
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The process of grinding and polishing optical surfaces using a Computer Numerically Controlled machine produces a machine material removal profile. The profiles achievable by the machine depend on the nature of the tool used in the process, and the tool center motions.
C. A. HALL, T. A. PORSCHING
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International Journal of Wavelets, Multiresolution and Information Processing, 2019
In this paper, the ill-posed Cauchy problem for the Helmholtz equation is investigated in a strip domain. To obtain stable numerical solution, a mollification regularization method with Dirichlet kernel is proposed. Error estimate between the exact solution and its approximation is given.
He, Shangqin, Feng, Xiufang
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In this paper, the ill-posed Cauchy problem for the Helmholtz equation is investigated in a strip domain. To obtain stable numerical solution, a mollification regularization method with Dirichlet kernel is proposed. Error estimate between the exact solution and its approximation is given.
He, Shangqin, Feng, Xiufang
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Numerical analytic continuation by a mollification method based on Hermite function expansion
Inverse Problems, 2012The 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.
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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 +2 more
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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 +2 more
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Inverse Problems in Science and Engineering, 2020
This paper concerns a one-phase inverse Stefan problem in one-dimensional space. The problem is ill-posed in the sense that the solution does not depend continuously on the data.
Soheila Bodaghi +2 more
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This paper concerns a one-phase inverse Stefan problem in one-dimensional space. The problem is ill-posed in the sense that the solution does not depend continuously on the data.
Soheila Bodaghi +2 more
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An a posteriori mollification method for the heat equation backward in time
Journal of Inverse and Ill-posed Problems, 2016Abstract The heat equation backward in time u t
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Applied Optics, 2006
The ordinary differential equation (ODE) and partial differential equation (PDE) image- processing methods have been applied to reduce noise and enhance the contrast of electronic speckle pattern interferometry fringe patterns. We evaluate the performance of a few representative PDE denoising models quantitatively with two parameters called image ...
Chen, Tang +3 more
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The ordinary differential equation (ODE) and partial differential equation (PDE) image- processing methods have been applied to reduce noise and enhance the contrast of electronic speckle pattern interferometry fringe patterns. We evaluate the performance of a few representative PDE denoising models quantitatively with two parameters called image ...
Chen, Tang +3 more
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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 +3 more
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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 +3 more
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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.
Hao Cheng, 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.
Hao Cheng, Xiao-Li Feng, Chu-Li Fu
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