Discrete stability analysis of the mollification method for numerical differentiation [PDF]
Computers and 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.
D A Murio
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Numerical solution of generalized IHCP by discrete mollification [PDF]
Computers and Mathematics With Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D A Murio
exaly +4 more sources
Automatic numerical solution of generalized 2-D IHCP by discrete mollification [PDF]
Computers and Mathematics With Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D A Murio
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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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Numerical identification of forcing terms by discrete mollification [PDF]
Computers & Mathematics with Applications, 1989 AbstractA new and totally automated technique for the approximate reconstruction of the unknown forcing terms in a system of ordinary differential equations when the experimental information is obtained through measured data, on a discrete set of points, is presented.
Murio, D.A., Hinestroza, D.
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Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes [PDF]
Computational Methods in Applied Mathematics, 2015 Abstract We construct mollification operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are Lp stable for any real number p ∈
Ern, Alexandre, Guermond, Jean-Luc
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A Fluid-Structure Interaction Model for Dam-Water Systems: Analytical Study and Application to Seismic Behavior [PDF]
Advances in Mathematical Physics, 2019 We consider a dam-water system modeled as a fluid-structure interaction, specifically, a coupled hyperbolic second-order problem, formulated in terms of the displacement of the structure and the fluid pressure.
Ricardo Faria +2 more
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Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations [PDF]
Numerical Methods for Partial Differential Equations, 2011 AbstractThe discrete mollification method is a convolution‐based filtering procedure suitable for the regularization of ill‐posed problems and for the stabilization of explicit schemes for the solution of PDEs. This method is applied to the discretization of the diffusive terms of a known first‐order monotone finite difference scheme [Evje and Karlsen,
Acosta, Carlos D. +2 more
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A regularized version of the Kuwabara-Kono force scheme for 2nd order convergence in DEM simulations of granular materials [PDF]
EPJ Web of ConferencesThe Discrete Element Method is a technique widely used to simulate multi-particle systems, in particular granular materials. For conservative systems, the integration of the equations of motion is often performed via a Verlet-type method of order two ...
Bufolo Gabriel N., Sobral Yuri D.
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Spectral Mollification for Bidirectional Fluorescence [PDF]
, 2020 Fluorescent 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 ...
C. Dachsbacher +5 more
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