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- Raphaël Couturier, Christophe Denis, Fabienne Jézéquel
- Parallel Computing
- 2008

Traditional large sparse linear solvers are not suited in a grid computing environment as they require a large amount of synchronization and communication penalizing the performance on this… (More)

- Fabienne Jézéquel, Jean Marie Chesneaux
- Computer Physics Communications
- 2008

The CADNA library enables one to estimate round-off error propagation using a probabilistic approach. With CADNA the numerical quality of any simulation program can be controlled. Furthermore by… (More)

- Jean Marie Chesneaux, Fabienne Jézéquel
- J. UCS
- 1998

If $I_n$ is the approximation of a definite integral $\int_{a}^{b}f(x)dx$ with step $\frac{b-a}{2^n}$ using the trapezoidal rule (respectively Simpson's rule), if $C_{a,b}$ denotes the number of… (More)

- Stef Graillat, Fabienne Jézéquel, Romain Picot
- Electr. Notes Theor. Comput. Sci.
- 2015

Compensated summation algorithms are designed to improve the accuracy of ill-conditioned sums. They are based on algorithms, such as FastTwoSum, which are proved to provide, with rounding to nearest,… (More)

In this paper, we present a parallel across time and space algorithm, based on an implicit collocation method, for the heat transfer equation. The solution is approximated by polynomials, the… (More)

- Fabienne Jézéquel, Jean Marie Chesneaux, Jean Luc Lamotte
- Computer Physics Communications
- 2010

The CADNA library enables one to estimate, using a probabilistic approach, round-off error propagation in any simulation program. CADNA provides new numerical types, the so-called stochastic types,… (More)

Under some assumptions on the speed of convergence of a sequence, the significant digits of one of its iterates in common with the exact limit can be determined by comparing this iterate with the… (More)

- Fabienne Jézéquel, F. Rico, Jean Marie Chesneaux, M. Charikhi
- Mathematics and Computers in Simulation
- 2006

The following multiple integral is involved in the neutron star theory:@t(@e,v)[email protected](@e)@!"0^@p^/^[email protected]@?(@q)@!"0^~dnn^[email… (More)

- Stef Graillat, Fabienne Jézéquel, Romain Picot
- Applied Mathematics and Computation
- 2018

Compensated algorithms consist in computing the rounding errors of individual operations and then adding them later on to the computed result. This makes it possible to increase the accuracy of the… (More)

The type length chosen for floating-point numbers (e.g. 32 bits or 64 bits) may have an impact on the execution time, especially on SIMD (Single Instruction Multiple Data) units. Furthermore… (More)