Results 211 to 220 of about 28,903,831 (255)

A mollification regularization method with the Dirichlet kernel for two Cauchy problems of three-dimensional Helmholtz equation

International Journal of Computer Mathematics, 2019
In this paper, two Cauchy problems of Helmholtz equation in a three-dimensional case are considered. To address these problems, a mollification method with bivariate Dirichlet kernel is proposed.
Shangqin He, Xiufang Feng
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Solving two kinds of inverse source problems for the heat equations by a mollification regularization method with Dirichlet kernel

Mathematical Methods in the Applied Sciences
We study the inverse issues for the heat equations with spatial‐dependent source and time‐dependent source, respectively. In this work, the source identification issues are ill‐posed, and the numerical solutions (if they exist) are not continuously dependent on the data.
Lan Yang, Lin Zhu, Shangqin He, Xiufang Feng, Bingxin Zhao   +4 more
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Approximation methods in the computer numerically controlled fabrication of optical surfaces, Part 2: mollifications

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.
Charles A. Hall, T. A. Porsching
openalex   +2 more sources

The Mollification Method and the Numerical Solution of Ill‐Posed Problems

1993
D. Murio
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The Mollification Method and the Numerical Solution of Ill-Posed Problems (Diego A. Murio)

SIAM Review, 1994
J. Beck
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Reconstruction of high order derivatives by new mollification methods

Applied Mathematics and Mechanics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Zhen-Yu, He, Guo-Qiang
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Regularization of the inverse Laplace transform by mollification

Inverse Problems, 2023
In this paper we study the inverse Laplace transform. We first derive a new global logarithmic stability estimate that shows that the inversion is severely ill-posed.
Pierre Mar'echal, Faouzi Triki, W. C. Simo Tao Lee   +2 more
semanticscholar   +1 more source

Determining an Unknown Source in the Heat Equation by a Mollification Regularization Method

2010 International Conference on Computational Intelligence and Software Engineering, 2010
The problem of identifying an unknown source in the heat equation is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we proposed a regularization strategy-mollification method to analysis the stability of the problem. Meanwhile, we proposed numerical implement.
Ailin Qian, Yongxin Gui
openaire   +1 more source

Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and the δ-mollification phase map method

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, Fang, Zhang, Botao, Li, Haiqing, Yan   +3 more
openaire   +2 more sources

Efficient Generation of Smooth Paths with Curvature Guarantees by Mollification

arXiv.org
Most path following and trajectory tracking algorithms in mobile robotics require the desired path or trajectory to be defined by at least twice continuously differentiable functions to guarantee key properties such as global convergence, especially for ...
Alfredo Gonz'alez-Calvin, Juan F. Jiménez, Héctor García de Marina   +2 more
semanticscholar   +1 more source