Stability aspects in using parallel algorithms

@article{Rnsch1984StabilityAI,
  title={Stability aspects in using parallel algorithms},
  author={Wolfgang R{\"o}nsch},
  journal={Parallel Computing},
  year={1984},
  volume={1},
  pages={75-98}
}
After a detailed description of the theoretical foundations of forward error analysis formulated by Stummel, the problem of stability of parallel algorithms, which has as yet received very little attention in the literature, is discussed using arithmetic expressions as an example. The stability analysis includes several summation algorithms, the evaluation of products, paraUelization of alternating expressions such as the Homer expression and finite continued fractions and finally general… CONTINUE READING