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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Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem [PDF]
Journal 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
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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
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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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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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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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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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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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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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Generalised verification of the observer property in discrete event systems [PDF]
, 2012 The observer property is an important condition to be satisfied by abstractions of Discrete Event Systems (DES) models. This paper presents a generalised version of a previous algorithm which tests if an abstraction of a DES obtained through natural ...
Pena, Patricia N. +4 more
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