A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem [PDF]
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
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MULTISCALE ANALYSIS BY MEANS OF DISCRETE MOLLIFICATION FOR ECG NOISE REDUCTION [PDF]
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
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Stabilization of explicit methods for convection diffusion equations by discrete mollification [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARLOS Mejia
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Surface fitting and numerical gradient computations by discrete mollification [PDF]
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
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Discrete mollification and automatic numerical differentiation [PDF]
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
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Numerical identification of a nonlinear diffusion coefficient by discrete mollification [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARLOS Mejia
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Automatic numerical differentiation by discrete mollification [PDF]
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
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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
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Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem [PDF]
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
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Efficient parameter estimation in a macroscopic traffic flow model by discrete mollification
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
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