Floating-point numbers represent only a subset of real numbers. As such, floating-point arithmetic introduces approximations that can compound and have a significant impact on …
Interval arithmetic is a means to compute verified results. However, a naive use of interval arithmetic does not provide accurate enclosures of the exact results. Moreover, interval …
Floating-point numbers represent only a subset of real numbers. As such, floating-point arithmetic introduces approximations that can compound and have a significant impact on …
The design of function evaluation libraries is a complex task that requires a great care and dedication, especially when one wants to satisfy high standards of reliability and …
Various kinds of errors can make a simulation diverge from the observed reality. Those include modeling errors, discretization errors, parameter uncertainties, but also errors due to …