Matrix functions: Taylor expansion, sensitivity and error analysis
Mehrdimensionale Hermite-Interpolation und numerische Integration.
Methods for computing the least deviation from the sums of functions of one variable.
Modified Gauss-Legendre, Lobatto and Radau cubature formulas for the numerical evaluation of 2-D singular integrals.
Multivariate asymptotics for products of large powers with applications to Lagrange inversion.
Multivariate Birkhoff-Lagrange interpolation schemes and Cartesian sets of nodes.
Multivariate interpolation II of Langrange and Hermite type
Multivariate smooth interpolation that employs polyharmonic functions
We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example...
Multivariate spline functions, B-spline bases and polynomial interpolations II