Results 101 to 110 of about 255 (138)

A mollification method for a Cauchy problem for the Laplace equation

Applied Mathematics and Computation, 2011
The authors consider the Cauchy problem for the Laplace equation in an infinite strip \(u_{xx} + u_{yy} =0, x \in (0,1), y \in \mathbb{R}, u(0,y) = \varphi(y), u_x(0,y) = 0, y \in \mathbb{R}\) with noisy Cauchy data \(\varphi^\delta \in L^2(\mathbb{R})\).
Zhenping Li
exaly   +2 more sources

A Mollification Method for Backward Time-Fractional Heat Equation

Acta Mathematica Vietnamica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duc Nguyen Van, Quy Muoi Pham, Nguyen Văn Thắng   +2 more
exaly   +2 more sources

Nonparametric Instrumental Regression via Mollification

Trends in Mathematics, 2023
Pierre Marechal, Marechal Pierre, Anne Vanhems   +2 more
exaly   +2 more sources

Spectral Mollification for Bidirectional Fluorescence

Computer Graphics Forum, 2020
AbstractFluorescent materials can shift energy between wavelengths, thereby creating bright and saturated colors both in natural and artificial materials. However, rendering fluorescence for continuous wavelengths or combined with wavelength dependent path configurations so far has only been feasible using spectral unidirectional methods.
Jung, Alisa, Hanika, Johannes, Dachsbacher, Carsten   +2 more
openaire   +2 more sources

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 ...
Megha Puthukkudi, Chandhini Godavarma Raja   +1 more
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source

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 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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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.
openaire   +2 more sources