Digits, architectures et logiciels informatiques

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