Automatic numerical solution of generalized 2-D IHCP by discrete mollification
A space marching scheme, based on the mollification method and generalized cross validation, is described to numerically recover the temperature and heat flux histories in the two-dimensional generalized inverse heat conduction problem.
D A Murio
exaly +3 more sources
Numerical identification of diffusivity coefficient and initial condition by discrete mollification
We discuss the simultaneous identification of the initial condition and the space-time depending diffusivity coefficient for general linear one-dimensional parabolic equations when the measured information is obtained only at the active boundary.We solve
D A Murio
exaly +4 more sources
Numerical identification of forcing terms by discrete mollification
A 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 ...
Murio, D.A., Hinestroza, D.
core +3 more sources
Stabilization of explicit methods for convection diffusion equations by discrete mollification
The main goal of this paper is to show that discrete mollification is a simple and effective way to speed up explicit time-stepping schemes for partial differential equations.
Carlos D. Acosta +3 more
core +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations [PDF]
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,
Raimund Bürger +2 more
core +4 more sources
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 ...
CARLOS D Acosta +2 more
exaly +4 more sources
Una convolución muy útil y unas derivadas ilustres
Este artículo trata sobre operadores de molificación discreta y sobre derivadas fraccionarias. Los operadores de molificación se definen a partir de convoluciones con núcleos gaussianos truncados, tanto en una como en dos dimensiones.
Mejía Salazar, Carlos E.
core +6 more sources
A mollification based operator splitting method for convection diffusion equations
The main goal of this paper is to show that discrete mollification is a suitable ingredient in operator splitting methods for the numerical solution of nonlinear convection–diffusion equations. In order to achieve this goal, we substitute the second step
CARLOS D Acosta, CARLOS E Mejia
exaly +2 more sources

