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Gruppo di ricerca : PEQUAN - Performance and Quality of Algorithms for Numerical applications

Responsabile del gruppo di ricerca : Stef Graillat Campus Pierre et Marie Curie 26-00/313
Corresponsabile : Fabienne Jézéquel Campus Pierre et Marie Curie 26-00/309

Presentazione breve

The domain of the PEQUAN team deals with computer arithmetic and scientific computing. The team has developed the CADNA library based on a probabilistic approach of round-off error propagation. The skills of the team cover:

the development of numerical algorithms using floating point or fixed point arithmetic and their numerical validation,
the performance optimization of numerical applications on various architectures (multicore processors, GPUs, computing grids, supercomputers,...),
the numeration systems and the associated algorithms in relationship with cryptology or signal processing,
the problems related to image assimilation.

Computer arithmetic, Rounding errors, Numerical validation, Numerical quality, Heterogeneous and multimodal data, Distributed numerical computing, Asynchronous numerical algorithms, Reliable results, Symbolic/numerical algorithms, Arithmetic operators for cryptography.

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Selected publications

P. Fortin, R. Habel, F. Jézéquel, J.‑L. Lamotte, N. Scott : “Numerical validation and performance optimization on GPUs of an application in atomic physics”, chapter in Designing Scientific Applications on GPUs, R. Couturier (Ed.), pp. 369-414, (Chapman & Hall/CRC) [Fortin 2013c]
S. Graillat, F. Jézéquel, Sh. Wang, Y. Zhu : “Stochastic Arithmetic in Multiprecision”, Mathematics in Computer Science, vol. 5 (4), pp. 359-375, (ISBN: 1661-8270) [Graillat 2011]
S. Graillat, V. Ménissier‑Morain : “Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic”, Information and Computation n°216, pp. 57-71, (ISBN: 0890-5401) [Graillat 2012]
P. Fortin, E. Athanassoula, J.‑Ch. Lambert : “Comparisons of different codes for galactic N-body simulations”, Astronomy and Astrophysics - A&A, vol. 531, pp. a120, (ISBN: 0004-6361) [Fortin 2011a]
D. Béréziat, I. Herlin : “Solving Ill-posed Image Processing problems using Data Assimilation”, Numerical Algorithms, vol. 56 (2), pp. 219-252 [Béréziat 2011]
Th. Hilaire, Ph. Chevrel, James F. Whidborne : “Finite Wordlength Controller Realizations using the Specialized Implicit Form”, International Journal of Control, vol. 83 (2), pp. 330-346 [Hilaire 2010]
J.‑C. Bajard, Ch. Negre, Th. Plantard : “Subquadratic space complexity binary field multiplier using double polynomial representation”, IEEE Transactions on Computers, vol. 59 (12), pp. 1585-1597 [Bajard 2010]

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