The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
This paper proposes a parallel cycle-accurate microarchitectural simulator which efficiently executes its workload by splitting the simulation process along time-axis into many in...
Translating digital signal processing (DSP) software into its finite-precision hardware implementation is often a timeconsuming task. We describe a new static analysis technique ...
High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, ...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
We present a domain-theoretic version of Picard’s theorem for solving classical initial value problems in Rn . For the case of vector fields that satisfy a Lipschitz condition, ...