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We study polynomial interpolation on a d-dimensional cube, where d is large. We suggest to use the least solution at sparse grids with the extrema of the Chebyshev polynomials. The polynomial exactness of this method is almost optimal. Our error bounds show that the method is universal, i.e., almost optimal for many different function spaces. We report on… (More)

In recent years, a growing number of small single-chip embedded systems are used in very high volumes, for example in the automotive industry. Due to the high volumes, these systems are very cost-sensitive. This is one of several reasons why they are more and more using static operating systems. In such systems, all system resources are configured offline… (More)

In recent years, a rapidly growing number of small embedded systems have been used in very high volumes. One example is the automotive industry, where the number of Electronic Control Units (ECU) in a single car is approaching 100 for high end automobiles and several dozens are used in mid-range cars. Small system-on-chip microcontrollers are often used… (More)

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