Results 1 to 10 of about 234 (189)

A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem [PDF]

open access: yesAxioms, 2018
We consider a two-dimensional time fractional diffusion equation and address the important inverse problem consisting of the identification of an ingredient in the source term. The fractional derivative is in the sense of Caputo.
Manuel D. Echeverry, Carlos E. Mejía
doaj   +7 more sources

MULTISCALE ANALYSIS BY MEANS OF DISCRETE MOLLIFICATION FOR ECG NOISE REDUCTION [PDF]

open access: yesDyna, 2009
El análisis multiescala es un área de gran actividad investigativa con fuerte impacto en computación científica y matemática aplicada, ocupando un lugar de privilegio en la forma como se entiende la relación entre la matemática y las demás ciencias ...
JUAN PULGARÍN-GIRALDO   +2 more
doaj   +16 more sources

Stabilization of explicit methods for convection diffusion equations by discrete mollification [PDF]

open access: yesComputers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARLOS Mejia
exaly   +4 more sources

Surface fitting and numerical gradient computations by discrete mollification [PDF]

open access: yesComputers and Mathematics With Applications, 1999
The authors consider the problem of fitting of a surface, which is given only by noisy data (in \(\mathbb{R}^2)\). This is done by a so-called mollification procedure, which is a process of filtering and smoothing the data by a modified convolution process. Many results on the convergence of the method are presented, and also a large number of computed
D A Murio
exaly   +3 more sources

Discrete mollification and automatic numerical differentiation [PDF]

open access: yesComputers and Mathematics With Applications, 1998
Numerical differentiation is an unreliable procedure in the case of a function with noise. The authors continue the study of their proposal to remedy this by a mollification procedure. This is based on the idea of replacing the given function by a convolution product with a smooth function of a given type with small support.
D A Murio
exaly   +4 more sources

Numerical identification of a nonlinear diffusion coefficient by discrete mollification [PDF]

open access: yesComputers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARLOS Mejia
exaly   +3 more sources

Automatic numerical differentiation by discrete mollification [PDF]

open access: yesComputers and Mathematics With Applications, 1987
The author gives a method to estimate the derivative based on attempting to reconstruct a modified version of the derivative. This approach was first introduced by \textit{V. V. Vasin} [Zh. Vychisl. Mat. Mat. Fiz. 13, 1383-1389 (1973; Zbl 0306.65007)].
D A Murio
exaly   +3 more sources

Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem

open access: yesNonlinear Engineering, 2023
In this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input ...
Rahimi Mostafa, Rostamy Davood
doaj   +3 more sources

Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem [PDF]

open access: yesJournal of Computational and Applied Mathematics, 1988
The author examines the following method for solving the inverse heat conduction problem in one-dimension: first filter the noisy input data using standard Fourier spectrum analysis techniques, and then solve the inverse problem for the fitted data using regularization methods. Theoretical and numerical results are presented to confirm the accuracy and
Diego A Murio
exaly   +3 more sources

Efficient parameter estimation in a macroscopic traffic flow model by discrete mollification

open access: yesTransportmetrica A: Transport Science, 2015
Our concern is the numerical identification of traffic flow parameters in a macroscopic one-dimensional model whose governing equation is strongly degenerate parabolic. The unknown parameters determine the flux and the diffusion terms. The parameters are estimated by repeatedly solving the corresponding direct problem under variation of the parameter ...
Raimund Bürger, CARLOS Mejia
exaly   +4 more sources

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