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A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem [PDF]
Axioms, 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
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MULTISCALE ANALYSIS BY MEANS OF DISCRETE MOLLIFICATION FOR ECG NOISE REDUCTION
Dyna, 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
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Stabilization of explicit methods for convection diffusion equations by discrete mollification [PDF]
Computers and Mathematics With Applications, 2008 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]
Computers 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
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Discrete mollification and automatic numerical differentiation [PDF]
Computers 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
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Automatic numerical differentiation by discrete mollification [PDF]
Computers 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
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Numerical identification of a nonlinear diffusion coefficient by discrete mollification [PDF]
Computers and Mathematics With Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carlos Mejia
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Nonlinear 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
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Numerical identification of diffusivity coefficient and initial condition by discrete mollification [PDF]
Computers and Mathematics With Applications, 1995 Two inverse problems for parabolic equations are formulated in which the coefficient \(a(x, t)\) and the initial condition \(u(x, 0)\) have to be identified simultaneously under the assumption that the measurements are given at the active boundary only.
D A Murio
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Efficient parameter estimation in a macroscopic traffic flow model by discrete mollification
Transportmetrica 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
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