Teilbarkeitskriterien der Intervallarithmetik.
The automatic computation of second-order slope tuples for some nonsmooth functions.
The Average A Posteriori Error of Numerical Methods.
The eigenvalue problem and Jacobean-like methods for its solution
The uncertainty problem in control theory. I. Models of theories
Thirteen Ways to Estimate Global Error.
Towards a Formal Definition of Numerical Stability.
Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.
The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm TL acts on linear fuzzy intervals just as the TL-based addition. Some examples are given.
Truncation Error Analysis by Means of Approximant Systems and Inclusion Regions.
Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions
The paper is devoted to verification of accuracy of approximate solutions obtained in computer simulations. This problem is strongly related to a posteriori error estimates, giving computable bounds for computational errors and detecting zones in the solution domain where such errors are too large and certain mesh refinements should be performed. A mathematical model consisting of a linear elliptic (reaction-diffusion) equation with a mixed Dirichlet/Neumann/Robin boundary condition is considered...