Digits, architectures et logiciels informatiques

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