Results 11 to 20 of about 28,903,831 (255)

Discrete stability analysis of the mollification method for numerical differentiation

open access: closedComputers & Mathematics with Applications, 1990
A numerical differentiation procedure is proposed based on discrete mollification. Numerical stability is proved and error analysis of the numerical procedure is presented. An example is considered of a function identification problem in transient heat conduction.
Diego A. Murio, Lin Guo
semanticscholar   +3 more sources

Mollification of Fourier Spectral Methods with Polynomial Kernels [PDF]

open access: goldMathematical Methods in the Applied Sciences, 2023
Many 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 ...
G. Chandhini, P Megha
openalex   +2 more sources

The Advantage of Regularizing a Specific Elliptical Problem by the Truncation and Mollification Methods

open access: green, 2023
The try to prove the importance and advantage of using the truncation method and the mollification method to regularize an ill-posed elliptical problem. To find appropriate solutions, we will try to calculate the difference between the original solution and the approximate solution. We give a concrete example to see how to apply the theoretical results
YAMEOGO Pierre Claver, En Mathématiques
openalex   +2 more sources

A mollification regularization method for stable analytic continuation

open access: goldMathematics and Computers in Simulation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiliang Deng   +3 more
openalex   +4 more sources

A proposed methodology for mollification of subsynchronous oscillation in DFIG-based wind farm. [PDF]

open access: yesSci Rep
High levels of series compensation in transmission lines, particularly those integrated with wind farms, exacerbate the risk of sub-synchronous oscillation (SSO), a phenomenon detrimental to system stability.
Abdeen M, El-Dabah MA, Agwa AM.
europepmc   +2 more sources

A mollification regularization method for the Cauchy problem of an elliptic equation in a multi-dimensional case [PDF]

open access: bronzeInverse 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, Xiaoli Feng, Chu‐Li Fu
openalex   +2 more sources

Solution of inverse heat conduction problems with phase changes by the mollification method

open access: yesComputers & Mathematics with Applications, 1992
Gewisse freie Randwertprobleme (etwa Schmelzprobleme) lassen sich umformulieren in inverse Wärmeleitprobleme, die allerdings ``ill- posed'' sind. Die vorliegende Arbeit befaßt sich mit der numerischen Behandlung solcher Probleme: Ausgehend von einem Glättungsverfahren wird ein explizites und unbedingt stabiles Differenzenverfahren verwendet, mit dem in
D. Murio
openaire   +2 more sources

Stabilization of explicit methods for convection diffusion equations by discrete mollification

open access: closedComputers & Mathematics with Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carlos Medina, Carlos E. Mejía
openalex   +3 more sources

The mollification method and the numerical solution of the inverse heat conduction problem by finite differences

open access: yesComputers & Mathematics with Applications, 1989
The inverse heat conduction problem is mathematically improperly posed in the sense that the solution does not depend continuously upon the data. In order to cope with this difficulty, many methods have been proposed (they are mentioned in the introduction), and in the present paper, the author suggests another one.
D. Murio
openaire   +3 more sources

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