Identifiability for a class of discretized linear partial differential algebraic equations.
Identifiability, stability and reconstruction results of sources by interior measurements.
Identification of a hydrogen transfer model with dynamical boundary conditions.
Identification of basic thermal technical characteristics of building materials
Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evaluation of both characteristics leads to a non-trivial optimization problem. This article suggests an efficient...
Identification of critical curves. II. Discretization and numerical realization
We consider the finite element approximation of the identification problem, where one wishes to identify a curve along which a given solution of the boundary value problem possesses some specific property. We prove the convergence of FE-approximation and give some results of numerical tests.
Identification of nonlinear coefficient in a transport equation.
Identification of parameters in initial value problems for ordinary differential equations
Scalar parameter values as well as initial condition values are to be identified in initial value problems for ordinary differential equations (ODE). To achieve this goal, computer algebra tools are combined with numerical tools in the MATLAB environment. The best fit is obtained through the minimization of the summed squares of the difference between measured data and ODE solution. The minimization is based on a gradient algorithm where the gradient of the summed squares is calculated either numerically...
Identification problem for nonlinear beam -- extension for different types of boundary conditions
Identification problem is a framework of mathematical problems dealing with the search for optimal values of the unknown coefficients of the considered model. Using experimentally measured data, the aim of this work is to determine the coefficients of the given differential equation. This paper deals with the extension of the continuous dependence results for the Gao beam identification problem with different types of boundary conditions by using appropriate analytical inequalities with a special...
Identifying generalized Fitzhugh-Nagumo equation from a numerical solution of Hodgkin-Huxley model.
Identities for piecewise polynomial spaces determinated by connection matrices.
Identities for piecewise polynomial spaces determined by connection matrices. (Summary).
IDR explained.
IFS approximations of distribution functions and related optimization problems.
Ignition for a gaseous thermal reaction
Il funzionale di Totale Variazione nel problema dell’eliminazione del rumore da immagini digitali: dal modello al software matematico
Il problema della stabilità per metodi numerici per ODEs
Ill-posed equations with transformed argument.
Image Interpolation
We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The Absolute Minimal Lipschitz Extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range. We...
Image restoration through subimages and confidence images.
Image segmentation with a finite element method