@article{FJ_JMC_CPC_2008, author = {F. J\'ez\'equel and J.-M. Chesneaux}, title = {{CADNA:} a library for estimating round-off error propagation}, journal = {Computer Physics Communications}, year = {2008}, volume = {178}, number = {12}, pages = {933--955} }
@article{FJ_CPC_2010, author = {F. J\'ez\'equel and J.-M. Chesneaux and J.-L. Lamotte}, title = {A new version of the {CADNA} library for estimating round-off error propagation in {Fortran} programs}, journal = {Computer Physics Communications}, year = {2010}, volume = {181}, number = {11}, pages = {1927--1928} }
@article{JLL_CPC_2010, author = {J.-L. Lamotte and J.-M. Chesneaux and F. J\'ez\'equel}, title = {{CADNA\_C: A version of CADNA for use with C or C++ programs}}, journal = {Computer Physics Communications}, year = {2010}, volume = {181}, number = {11}, pages = {1925--1926} }
@article{JV_2004, author = {J. Vignes}, title = {{Discrete Stochastic Arithmetic} for Validating Results of Numerical Software}, journal = {Numerical Algorithms}, volume = 37, number = {1--4}, pages = {377--390}, year = {2004}, month = dec }
@article{JV_1993, author = {J. Vignes}, title = {A stochastic arithmetic for reliable scientific computation}, journal = {Mathematics and Computers in Simulation}, volume = 35, pages = {233--261}, year = 1993 }
@article{SAM2011, author = {S. Graillat and F. J{\'{e}}z{\'{e}}quel and S. Wang and Y. Zhu}, title = {{S}tochastic {A}rithmetic in {M}ultiprecision}, journal = {{M}athematics in {C}omputer {S}cience}, volume = {5}, number = {4}, year = {2011}, pages = {359-375}, doi = {10.1007/s11786-011-0103-4}, url = {http://dx.doi.org/10.1007/s11786-011-0103-4} }
@inproceedings{FJ_JLL_SCAN2010, author = {F. J\'ez\'equel and J.-L. Lamotte}, title = {{Numerical validation of Slater integrals computation on GPU}}, booktitle = {{T}he 14th {GAMM}-{IMACS} {I}nternational {S}ymposium on {S}cientific {C}omputing, {C}omputer {A}rithmetic and {V}alidated {N}umerics ({SCAN}'10)}, address = {Lyon, France}, pages = {78-79}, month = sep, year = 2010 }
@inproceedings{FJ2013, title = {Parallelization of discrete stochastic arithmetic on multicore architectures}, booktitle = {Tenth International Conference on Information Technology: New Generations ({ITNG 2013})}, author = {F. J\'ez\'equel and J.-L. Lamotte and O. Chubach}, month = apr, year = {2013}, pages = {160--166} }
@article{Eberhart_REC_2015, AUTHOR = {P. Eberhart and J. Brajard and P. Fortin and F. J\'ez\'equel}, TITLE = {High performance numerical validation using stochastic arithmetic}, JOURNAL = {Reliable Computing}, VOLUME = {21}, YEAR = {2015}, PAGES = {35--52} }
@INPROCEEDINGS{FJ_CADNA_2015, author = {F. J{\'{e}}z{\'{e}}quel and J.-L. Lamotte and I. Said}, month = sep, title = {{E}stimation of numerical reproducibility on {CPU} and {GPU}}, booktitle = {8th {W}orkshop on {C}omputer {A}spects of {N}umerical {A}lgorithms ({CANA}), {F}ederated {C}onference on {C}omputer {S}cience and {I}nformation {S}ystems ({FedCSIS})}, year = {2015}, pages = {687-692}, location = {Lodz, Poland} }
@inproceedings{Eberhart_SCAN_2014, author = {P. Eberhart and J. Brajard and P. Fortin and F. J\'ez\'equel}, title = {Towards High Performance Stochastic Arithmetic}, booktitle = {{T}he 16th {GAMM}-{IMACS} {I}nternational {S}ymposium on {S}cientific {C}omputing, {C}omputer {A}rithmetic and {V}alidated {N}umerics ({SCAN}'14)}, month = sep, address = {W\"urzburg, Germany}, year = {2014} }
@inproceedings{Montan_2012, author = {S. Montan and C. Denis}, month = mar, title = {{N}umerical Verification of Industrial Numerical Codes}, booktitle = {{ESAIM}: {P}roc.}, volume = {35}, year = {2012}, pages = {107-113}, doi = {10.1051/proc/201235006} }
@inproceedings{Montan_2012_dgemm, author = {C. Denis and J.-L. Lamotte and J.-M. Chesneaux and S. Montan}, month = sep, title = {{T}owards an efficient implementation of {CADNA} in the {BLAS}: {E}xample of {DgemmCADNA} routine.}, booktitle = {{P}roceedings of the 15th {GAMM}-{IMACS} {I}nternational {S}ymposium on {S}cientific {C}omputing, {C}omputer {A}rithmetic and {V}erified {N}umerical {C}omputations}, year = {2012} }
@article{Asserrhine_1995, author = {A. Asserrhine and J.-M. Chesneaux and J.-L. Lamotte}, title = {Estimation of Round-off Errors on Several Computers Architectures}, journal = {J. of Universal Computer Science}, year = {1995}, volume = {1}, number = {7}, pages = {454--468}, month = jul }
@phdthesis{Lamotte_HDR, author = {J.-L. Lamotte}, title = {Vers une cha\^ine de validation des logiciels num\'eriques \`a l'aide de m\'ethodes probabilistes }, type = {Habilitation \`a diriger des recherches}, school = {Universit\'e Pierre et Marie Curie, Paris}, year = 2004, month = nov }
@inproceedings{Lamotte_2002, author = {J.-L. Lamotte}, title = {Parallelization of the {CESTAC} method on shared memory and distributed memory computers}, booktitle = {10th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics (SCAN~2002)}, address = {Paris, France}, month = sep, year = 2002 }
@inproceedings{Ghaneme_2004, author = {A. Ghaneme and J.-L. Lamotte}, title = {On the performance of a parallel implementation of the {CESTAC} method with self-validation on several parallel machines}, booktitle = {Proc. SCAN2004 conference, Fukuoka, Japan}, month = oct, year = 2004 }
@misc{Lamotte_2004, author = {J.-L. Lamotte and D. Martins}, title = {First parallel implementation of the {CESTAC} method with self validation}, howpublished = {Mathematical Modelling and Scientific Computations, minisymposium within the 33rd Spring Conference of the Union of the Mathematicians in Bulgaria, Borovets, Bulgaria}, month = apr, year = 2004, pages = {427--433} }
@article{FJ_JMC_NaNet, author = {F. J\'ez\'equel and J.-M. Chesneaux}, title = {Computation of an infinite integral using {R}omberg's method}, journal = {Num. Algo.}, volume = {36}, number = {3}, year = {2004}, pages = {265--283}, month = jul }
@article{JMC_FJ_1998, author = {J.-M. Chesneaux and F. J\'ez\'equel}, title = {Dynamical control of computations using the trapezoidal and {Simpson}'s rules}, journal = {J. of Universal Computer Science}, volume = 4, number = 1, pages = {2--10}, year = 1998 }
@article{FJ_2004, author = {F. J\'ez\'equel}, title = {Dynamical control of converging sequences computation}, journal = {Applied Numerical Mathematics}, volume = 50, number = 2, pages = {147--164}, year = {2004} }
@article{FJ_CRAS_2006, author = {F. J\'ez\'equel}, title = {A dynamical strategy for approximation methods}, journal = {C. R. Acad. Sci. Paris - M\'ecanique}, volume = {334}, pages = {362--367}, year = {2006} }
@article{Scott_CPC_2007, author = {N.S. Scott and F. J\'ez\'equel and C. Denis and J.-M. Chesneaux}, title = {Numerical 'health check' for scientific codes: the {CADNA} approach}, journal = {Computer Physics Communications}, month = apr, year = 2007, volume = 176, number = {8}, pages = {507--521} }
@article{FJ_FR_etoile, author = {F. J\'ez\'equel and F. Rico and J.-M.~Chesneaux and M. Charikhi}, title = {Reliable computation of a multiple integral involved in the neutron star theory}, journal = {Mathematics and Computers in Simulation}, volume = 71, number = 1, pages = {44--61}, year = {2006} }
@article{Scott_PPNL_2008, author = {N.S. Scott and V. Faro-Maza and M.P. Scott and T. Harmer and J.-M. Chesneaux and C. Denis and F. J\'ez\'equel}, title = {E-Collisions using e-Science}, journal = {Physics of Particles and Nuclei Letters}, volume = {5}, number = 3, pages = {150--156}, year = {2008} }
@article{Alberstein_1999, author = {Alberstein, N.C. and Chesneaux, J.-M. and Christiansen, S. and Wirgin, A.}, title = {Comparison of four software packages applied to a scattering problem}, journal = {Math. Comput. Simulation}, volume = {48}, pages = {307--318}, year = {1999} }
@inproceedings{JMC_Troff_1996, author = {Chesneaux, J.-M. and Troff, B.}, title = {{Computational stability study using the CADNA software applied to the Navier-Stokes solver PEGASE}}, booktitle = {Scientific Computing and Validated Numerics}, pages = {84--90}, editor = {G. Alefeld and A. Frommer}, publisher = {Akademie Verlag}, year = {1996} }
@article{Pichat_1996, author = {M. Pichat and J. Vignes}, title = {{Validit\'e des r\'esultats num\'eriques dans les processus \`a comportement chaotique. Un outil d'\'evaluation : le logiciel CADNA.}}, journal = {C. R. Acad. Sci. Paris - s\'erie II}, volume = {315}, pages = {681--688}, year = 1996 }
@inproceedings{Pichat_2000, author = {M. Pichat and J. Vignes}, title = {The numerical study of chaotic systems - Future and Past}, booktitle = {16th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation}, year = 2000, address = {Lausanne, Switzerland}, month = aug }
@inproceedings{Pichat_1997, author = {M. Pichat and J. Vignes}, title = {The numerical study of unstable fixed points in a chaotic dynamical system}, booktitle = {15th IMACS World Congress on Scientific Computation, Applied Mathematics and Simulation}, year = 1997, address = {Berlin, Germany}, pages = {341--346}, month = aug }
@unpublished{CADNA, title = {{CADNA}: {C}ontrol of {A}ccuracy and {D}ebugging for {N}umerical {A}pplications}, author = {Universit\'e Pierre et Marie Curie, Paris, France}, note = {\url{http://www.lip6.fr/cadna}}, key = {CADNA} }
@article{JV_90, author = {J. Vignes}, title = {Estimation de la pr\'ecision des r\'esultats de logiciels num\'eriques}, journal = {La Vie des Sciences}, volume = {7}, number = {2}, pages = {93--145}, year = 1990 }
@inproceedings{JV_74, author = {J. Vignes and M. La Porte}, title = {Error analysis in computing}, booktitle = {Information Processing 1974}, publisher = {North-Holland}, pages = {610--614}, year = 1974 }
@inproceedings{JMC_90, author = {J.-M. Chesneaux}, title = {Study of the computing accuracy by using probabilistic approach}, booktitle = {Contribution to Computer Arithmetic and Self-Validating Numerical Methods}, editor = {C. Ullrich}, address = {IMACS, New Brunswick, New Jersey, USA}, pages = {19--30}, year = 1990 }
@phdthesis{JMC_95, author = {J.-M. Chesneaux}, title = {L'arithm\'etique stochastique et le logiciel {CADNA}}, type = {Habilitation \`a diriger des recherches}, school = {Universit\'e Pierre et Marie Curie, Paris, France}, month = nov, year = 1995 }
@article{JV_87, author = {J. Vignes}, title = {Z\'ero math\'ematique et z\'ero informatique }, journal = {Comptes Rendus de l'Acad\'emie des Sciences - Series I - Mathematics }, volume = {303}, pages = {997--1000}, year = {1986}, note = {also: La Vie des Sciences, 4 (1) 1-13, 1987} }
@article{JMC_JV_1988, author = {J.-M. Chesneaux and J. Vignes}, title = {Sur la robustesse de la m\'ethode {CESTAC}}, journal = {Comptes Rendus de l'Acad\'emie des Sciences - Series I - Mathematics }, volume = {307}, pages = {855--860}, year = 1988 }
@article{JMC_JV_1992, author = {J.-M. Chesneaux and J. Vignes}, title = {Les fondements de l'arithm\'etique stochastique}, journal = {Comptes Rendus de l'Acad\'emie des Sciences - Series I - Mathematics }, volume = 315, pages = {1435--1440}, year = 1992 }
@article{JMC_94, author = {J.-M. Chesneaux}, title = {The quality relations in scientific computing}, journal = {Num. Algo.}, volume = 7, pages = {129--143}, year = 1994 }
@inbook{CGJ08, author = {J.-M. Chesneaux and S. Graillat and F. J\'ez\'equel}, title = {Encyclopedia of Computer Science and Engineering}, chapter = {Rounding Errors}, publisher = {Wiley}, year = {2009}, volume = {4}, pages = {2480--2494} }
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