Results 111 to 120 of about 255 (138)

Stable nunerical fractional differentiation by mollification

Numerical Functional Analysis and Optimization, 1994
The problem of stable calculation of the fractional derivatives of a function f given in is considered bya mollification method. We have obtained stability estimates of Holder type in Lp-norm for all pe[1, ∞] for the problem of numerical differentiation and p = 2 for the problem of numerical fractional differentiation.
Dinh Nho Hào, H. -J. Reinhardt, F. Seiffarth   +2 more
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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 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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A Mollification Approach for Inverting the Spherical Mean Radon Transform

SIAM Journal on Applied Mathematics, 2011
The filtered backprojection algorithm is still one of the most important reconstruction methods in computed tomography. It is based on explicit formulas for recovering mollified versions of the original unknown function. In this paper, we derive such formulas for the spherical mean Radon transform with centers restricted to the boundary of a ball.
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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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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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The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem

SIAM Journal on Scientific and Statistical Computing, 1981
We 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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Mollification

2023
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A Mollification Scheme for Task and Motion Planning.

CoRR, 2023
Jimmy Envall, Roi Poranne, Stelian Coros
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mollification, n.

2023
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