On a Computational Method for the Second Fundamental Tensor and its Application to Bifurcation Problems.
On orthogonal decomposition of two-dimensional vector fields
On the asymptotics of mean value points for some finite-difference operators.
On the optimization of initial conditions for a model parameter estimation
The design of an experiment, e.g., the setting of initial conditions, strongly influences the accuracy of the process of determining model parameters from data. The key concept relies on the analysis of the sensitivity of the measured output with respect to the model parameters. Based on this approach we optimize an experimental design factor, the initial condition for an inverse problem of a model parameter estimation. Our approach, although case independent, is illustrated at the FRAP (Fluorescence...
Operators approximating partial derivatives at vertices of triangulations by averaging
Let be a triangulation of a bounded polygonal domain , the space of the functions from linear on the triangles from and the interpolation operator from to . For a unit vector and an inner vertex of , we describe the set of vectors of coefficients such that the related linear combinations of the constant derivatives on the triangles surrounding are equal to for all polynomials of the total degree less than or equal to two. Then we prove that, generally, the values of the...
Optimal discrete approximation of continuous linear operators applicable to control problems
Optimale Differentiations- und Integrationsformeln in C0 [a, b]. - Optimal Differentiation and Integration Formulas in C0 [a, b].
Optimality-preserving elimination of linearities in Jacobian accumulation.