Results 221 to 230 of about 4,907 (238)

A MOLLIFICATION METHOD FOR ILL-POSED PROBLEMS

Numerische Mathematik, 1994
The 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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Mollification of the Gibbs phenomena using orthogonal wavelets

2011 International Conference on Multimedia Technology, 2011
In a preceding paper, we study the use of the wavelet expansion in terms of rapidly decaying wavelet, which is Meyer's wavelet, to the problem of mollification in the numerical calculation of the fractional derivative of a function involving noise. In the present paper, we study the problem of depressing the oscillation due to the Gibbs phenomenon, by ...
Tohru Morita, Ken-ichi Sato
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Some Applications of the Mollification Method

2001
The Mollification Method is a filtering procedure that is appropriate for the regularization of a variety of ill-posed problems. In this review, we briefly introduce the method, including its main feature, which is its ability to automatically select regularization parameters.
C. E. Mejía, D. A. Murio, S. Zhan
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A mollification regularization method for stable analytic continuation

Mathematics and Computers in Simulation, 2011
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Deng, Zhi-Liang, Fu, Chu-Li, Feng, Xiao-Li, Zhang, Yuan-Xiang   +3 more
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Mollification of fractional derivatives using rapidly decaying harmonic wavelet

Fractional Calculus and Applied Analysis, 2011
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Morita, Tohru, Sato, Ken-ichi
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Some remarks on the mollification of piecewise-linear homeomorphisms

Journal of Mathematical Sciences, 1997
See the review in Zbl 0892.49002.
Seregin, G. A., Shilkin, T. N.
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Approximate solution of hyperbolic conservation laws by discrete mollification

Applied Numerical Mathematics, 2009
The authors propose explicit schemes for one-dimensional linear and nonlinear hyperbolic conservation laws. Combination of these methods with discrete mollification yields new methods with the following properties: Large time steps are allowed and stability is preserved.
Acosta, Carlos D., Mejía, Carlos E.
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Reconstruction of high order derivatives by new mollification methods

Applied Mathematics and Mechanics, 2008
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Zhao, Zhen-Yu, He, Guo-Qiang
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Mollification along the Coarse Scale Flow

2017
This chapter shows how to construct the appropriate mollification of the Reynolds stress along the coarse scale flow. Unlike the velocity field, which was only mollified in the spatial variables and which earned its time-regularity through the Euler-Reynolds equation, the Reynolds stress must be mollified in both space and time. Mollification along the
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Mollification of Viscosity Solutions and Semiconvexity

2014
This chapter deals with the mollification of viscosity solutions and semiconvexity. The apt mollification scheme for viscosity solutions which respects our generalised derivatives, namely the semi-jets \(\fancyscript{J}^{2,\pm }\), is 1-sided. It is crucial to invent suitable regularisations of viscosity solutions in order to be able to manipulate ...
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