Results 201 to 210 of about 354 (235)

Mollification of Fourier Spectral Methods with Polynomial Kernels

Mathematical 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 ...
Megha Puthukkudi, Chandhini Godavarma Raja   +1 more
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A mollification method for a Cauchy problem for the Helmholtz equation

International Journal of Computer Mathematics, 2017
ABSTRACTThe Cauchy problem for the Helmholtz equation is considered. This problem is severely ill-posed, that is, the solution does not depend continuously on the data.
Zhenping Li, C. Xu, M. Lan, Z. Qian
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A mollification regularization method for stable analytic continuation

Mathematics and Computers in Simulation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Liang Deng, Chu-Li Fu, Xiao-Li Feng, Yuan-Xiang Zhang   +3 more
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A Mollification Method for Backward Time-Fractional Heat Equation

Acta Mathematica Vietnamica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van Duc, Nguyen, Muoi, Pham Quy, Van Thang, Nguyen   +2 more
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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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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 framework for improperly posed problems

Numerische Mathematik, 1998
Let \(A\) represent a linear, translation-invariant operator between given Hilbert spaces for which the range is not dense. A general theory for the mollification of the improperly posed equation \(Au=f\) is developed utilizing the classical theory of semi-groups.
Hegland, M., Anderssen, R. S.
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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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