We discuss two closely related interval arithmetic systems: i the system of directed generalized intervals studied by E. Kaucher, and ii the system of normal intervals together with the outer and… (More)

We discuss the solution to the interval algebraic systemA x b involving interval n n matrixA and interval vector b in directed interval arithmetic involving improper intervals We give some new… (More)

The TRAMS (Terascale Reliable Adaptive MEMORY Systems) project addresses in an evolutionary way the ultimate CMOS scaling technologies and paves the way for revolutionary, most promising beyond-CMOS… (More)

We investigate some algebraic properties of the system of stochastic numbers with the arithmetic operations addition and multiplication by scalars and the relation inclusion and point out certain… (More)

This paper is devoted to the software implementation of two mathematical methods which are often used in biological applications: interpolation and curve tting in the presence of uncertainties in the… (More)

We give a short description of the annual international conference series in the field of biomathematics “Biomath”. A main goal of this conference series is to attract young scientists and integrate… (More)

Based on the analysis of the performance, scalability, work-load increase and distribution of the MD simulation packages GROMACS and NAMD for very large systems and core numbers, we evaluate the… (More)

We investigate some abstract algebraic properties of the system of intervals with respect to the arithmetic operations and the relation inclusion and derive certain practical consequences from these… (More)

Interval arithmetic and stochastic arithmetic have been both developed for the same purpose, i. e. to control errors coming from floating point arithmetic of computers and validate the results of… (More)