The Journal of Supercomputing

, Volume 40, Issue 1, pp 67–80 | Cite as

Supercomputing applications to the numerical modeling of industrial and applied mathematics problems

  • Juan A. Acebrón
  • Renato Spigler


Present and future supercomputers offer many opportunities and advantages to attack complex and demanding industrial and applied mathematical problems, but provide also new challenges. In the Peta-Flops regime, these concern both, the way to exploit the increasingly available power and the need of designing algorithms which are scalable and fault-tolerant at the same time. An example of a probabilistic domain decomposition method, which is indeed scalable and naturally fault-tolerant, is presented. Grid computing should also be mentioned as an increasingly popular way to perform massively distributed computing: it represents a way to exploit computing power, aside the existing supercomputers. Beyond classical supercomputers there is the prospective quantum computer, in view of which it is advisable to start now a search for suitable algorithms for certain classes of problems.


Supercomputers Supercomputing Parallel computing Monte Carlo methods Scalability Fault-tolerance 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Departament d’Enginyeria Informàtica i MatemàtiquesUniversitat Rovira i VirgiliTarragonaSpain
  2. 2.Dipartimento di MatematicaUniversità “Roma Tre”RomeItaly

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