Linear abhängige Punktfunktionale bei zweidimensionalen Interpolations- und Approximationsproblemen.
Local behaviour of the derivative of a mid point cubic spline interpolator.
Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions
A. Cordero et. al (2010) considered a modified Newton-Jarratt's composition to solve nonlinear equations. In this study, using decomposition technique under weaker assumptions we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.
Local convergence of a one parameter fourth-order Jarratt-type method in Banach spaces
We present a local convergence analysis of a one parameter Jarratt-type method. We use this method to approximate a solution of an equation in a Banach space setting. The semilocal convergence of this method was recently carried out in earlier studies under stronger hypotheses. Numerical examples are given where earlier results such as in [Ezquerro J.A., Hernández M.A., New iterations of -order four with reduced computational cost, BIT Numer. Math. 49 (2009), 325–342] cannot be used to solve equations...
Local interpolation by a quadratic Lagrange finite element in 1D
We analyse the error of interpolation of functions from the space in the nodes of a regular quadratic Lagrange finite element in 1D by interpolants from the local function space of this finite element. We show that the order of the error depends on the way in which the mutual positions of nodes change as the length of interval approaches zero.
Local representations of quartic splines
Localized polynomial bases on the sphere.
Lösung von Differentialgleichungen mit Splinefunktionen. Eine Störungstheorie. Tei 1: Divergenzaussagen.
Lösung von gewöhnlichen Differentialgleichungen mit nichtlinearen Splines.
Low-discrepancy point sets for non-uniform measures
We prove several results concerning the existence of low-discrepancy point sets with respect to an arbitrary non-uniform measure μ on the d-dimensional unit cube. We improve a theorem of Beck, by showing that for any d ≥ 1, N ≥ 1, and any non-negative, normalized Borel measure μ on there exists a point set whose star-discrepancy with respect to μ is of order . For the proof we use a theorem of Banaszczyk concerning the balancing of vectors, which implies an upper bound for the linear discrepancy...
Low-discrepancy point sets obtained by digital constructions over finite fields
Markoff-type inequalities in weighted -norms.
Markov-Krein transform
The Markov-Krein transform maps a positive measure on the real line to a probability measure. It is implicitly defined through an identity linking two holomorphic functions. In this paper an explicit formula is given. Its proof is obtained by considering boundary values of holomorhic functions. This transform appears in several classical questions in analysis and probability theory: Markov moment problem, Dirichlet distributions and processes, orbital measures. An asymptotic property for this transform...
Mathematical and computer modelling of mechanisms regulating blood flow at microcirculation level [Abstract of thesis]
Mathematical basis of a system supporting interconnection design.
Mathematical Programming and L_p Approximation
Mathematical snapshots from the computational geometry landscape.
Matrices Related to Interpolatory Quadratures.
Matrix computation and the theory of moments.
Maximal order for quadratures using n evaluations.