AbstractWe describe an approximation scheme which can be used to estimate unknown parameters in moving boundary problems. The model equations we consider are fairly general nonlinear diffusion/reaction equations of one spatial variable. Here we give conditions on the parameter sets and model equations under which we can prove that the estimates obtained using the approximations will converge to best-fit parameters for the original model equations. We conclude with a numerical example
This work is concerned with the numerical simulations for two reaction-diffusion systems, i.e., the ...
AbstractThis paper deals with the derivation of a class of nonlinear transport and diffusion models ...
A general approximation for the solution of the one-dimensional nonlinear diffusion equation is pres...
AbstractWe describe an approximation scheme which can be used to estimate unknown parameters in movi...
Diffusion is a phenomenon in which particles move from regions of higher density to regions of lower...
In many applications, for example in heat diffusion and in flow problems, it is important to describ...
This paper treats the filtering and parameter identification for the stochastic diffusion systems wi...
In many applications such as heat diffusion and flow problems, it is of interest to describe the pro...
This letter presents a closed-form solution to estimate space-dependent transport parameters of a li...
In this paper we consider the problem of estimating the state, and identifying parameters of a diffu...
AbstractA boundary approximation method or spectral method for the numerical solution of the potenti...
summary:We briefly discuss an abstract approximation framework and a convergence theory of parameter...
The paper deals with the approximation of some nonlinear diffusion equations with source terms and n...
We consider a linear diffusion equation on O := R^2 \ O_O, where O_O is a bounded domain. The (time-...
AbstractIn this paper, we present an approximation framework and theoretical convergence results for...
This work is concerned with the numerical simulations for two reaction-diffusion systems, i.e., the ...
AbstractThis paper deals with the derivation of a class of nonlinear transport and diffusion models ...
A general approximation for the solution of the one-dimensional nonlinear diffusion equation is pres...
AbstractWe describe an approximation scheme which can be used to estimate unknown parameters in movi...
Diffusion is a phenomenon in which particles move from regions of higher density to regions of lower...
In many applications, for example in heat diffusion and in flow problems, it is important to describ...
This paper treats the filtering and parameter identification for the stochastic diffusion systems wi...
In many applications such as heat diffusion and flow problems, it is of interest to describe the pro...
This letter presents a closed-form solution to estimate space-dependent transport parameters of a li...
In this paper we consider the problem of estimating the state, and identifying parameters of a diffu...
AbstractA boundary approximation method or spectral method for the numerical solution of the potenti...
summary:We briefly discuss an abstract approximation framework and a convergence theory of parameter...
The paper deals with the approximation of some nonlinear diffusion equations with source terms and n...
We consider a linear diffusion equation on O := R^2 \ O_O, where O_O is a bounded domain. The (time-...
AbstractIn this paper, we present an approximation framework and theoretical convergence results for...
This work is concerned with the numerical simulations for two reaction-diffusion systems, i.e., the ...
AbstractThis paper deals with the derivation of a class of nonlinear transport and diffusion models ...
A general approximation for the solution of the one-dimensional nonlinear diffusion equation is pres...
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