New algorithms in computational mathematics suited for nextgeneration supercomputers
12/10/2007 Friday 12th October 2007, 15:00 (Room P7, Mathematics Building, IST)
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Juan A. Acebron, Departament d\'Enginyeria Informatica i Matematiques, Universitat Rovira i Virgili, Tarragona, Spain
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 PetaFlops regime, these concern both, the way to exploit the increasingly available power and the need of designing algorithms which are scalable and faulttolerant at the same time. An example of a probabilistic domain decomposition method, which is indeed scalable and naturally faulttolerant, is presented. In practice, Monte Carlo as well as quasiMonte Carlo methods are used to generate only few interfacial values in twodimensional domains where boundaryvalue elliptic problems are formulated. This allows for a fully domain decomposition of the problem.
