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  Digits, architectures et logiciels informatiques


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Finite element Certified numerical accuracy Binary floating-point arithmetic Squaring Asynchronous iterations Performance Accuracy GPUs Horner scheme LU factorization Domain decomposition OpenTelemac Efficient Software Implementation Floating-Point Numbers Pseudo-random Computer architecture Multiplication scalaire Automated design Floating-point arithmetic Program Transformation Numerical reproducibility Compensated algorithms Differential power analysis Parallélisme d'instruction Parallel implementation Numerical Reproducibility Parallel floating-point summation Reproducibility Chaotic map Elliptic curve Toeplitz matrix Execution-time performance Logistic map RNS Parallelism Randomization Error-free transformation IEEE754 Standard PerPI C software implementation Automated code synthesis Digital Signature Performance evaluation Sommation précise Error-free transformations Abstract interpretation Multi-criteria optimization RSA Hydrodynamics simulation Multi-precision Simple power analysis Matrix multiplication Parallel algorithms Instruction level parallelism Optimized recursive reconstruction GPU Floating-Point Arithmetic Arithmétique des ordinateurs Numerical accuracy HPC Reproductibilité AMNS Multiplication Cryptographie Modular Exponentiation Finite field Précision Code generation BLAS Polynomial evaluation Binary polynomial multiplication Correct rounding Binary field Scalar multiplication Sequential multiplier Fuzzy intervals Memory Storage Arithmétique des corps finis Code synthesis Accurate summation Multi- and many-core architectures Midpoint-radius Compensation Kulisch long accumulator Computer arithmetic FPGA PRBG Graphic Processing Units Cryptography Modular exponentiation GPGPU IEEE 754 VLIW integer processor Long accumulator Abstract Interpretation Elementary functions Arithmétique flottante Fixed-point arithmetic Code Synthesis Block recombination