Results 11 to 20 of about 10,988,171 (189)

Discrete stability analysis of the mollification method for numerical differentiation [PDF]

Computers & 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.
Murio, D.A., Guo, L.
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A Truncated-Kernel Mollification Method for the Cauchy Problem of the Modified Helmholtz Equation

Axioms
This paper addresses the Cauchy problem for the multi-dimensional modified Helmholtz equation, a classical and severely ill-posed problem. A truncated-kernel mollification method is proposed as an effective regularization approach.
Huilin Xu, Fanli Xu, Baoxia Wang
doaj   +2 more sources

A Mollification Method for a Noncharacteristic Cauchy Problem for a Parabolic Equation [PDF]

Journal of Mathematical Analysis and Applications, 1996
The object of this paper is the study of the following noncharactristic Cauchy problem \[ u_t-a(x)u_{xx}-b(x)u_x-c(x)u=0,\quad u(0,t)=\varphi(t),\quad u_x(0,t)=0. \] The analysis of this problem is clear and was studied by the author in previous papers, too. It is proved, that under certain assumptions for the coefficients the above problem has a \(L_p\
Hào, Dinh Nho
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The Advantage of Regularizing a Specific Elliptical Problem by the Truncation and Mollification Methods

, 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, Dr. En Mathématiques   +1 more
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Mollification Effects of Policy Gradient Methods [PDF]

CoRR
19 pages, 41 ...
Tao Wang, Sylvia L. Herbert, Sicun Gao
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The mollification method and the numerical solution of the inverse heat conduction problem by finite differences [PDF]

Computers & 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.
Murio, D.A.
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Solution of inverse heat conduction problems with phase changes by the mollification method [PDF]

Computers & 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
Murio, Diego A.
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Proportional factors estimation in an IHCP [PDF]

Journal of Hyperstructures, 2014
In this paper, a numerical scheme is developed based on mollification method and space marching scheme for solving an inverse heat conduction problem. The proposed inverse problem contains the estimation of two unknown functions at the boundaries named ...
Morteza Garshasbi, Hatef Dastour
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Numerical solution of a time-fractional inverse source problem [PDF]

Journal of Hyperstructures, 2018
In this paper, an inverse problem of determining an unknown source term in a time-fractional diffusion equation is investigated. This inverse problem is severely ill-posed.
Afshin Babaei, Seddighe Banihashemi
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Recovery of coefficients of a heat equation by Ritz collocation method

Kuwait Journal of Science, 2023
In this work, we discuss a one dimensional inverse problem for the heat equation where the unknown functions are solely time-dependent lower order coefficient and multiplicative source term. We use as data two integral overdetermination conditions along
Prof.Kamal Rashedi
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