Workshop
Levels of Rigor in Numerical Computation: Mathematical Concepts and Software
- Folkmar Bornemann (TU Munich)
Abstract
We review some concepts how modern mathematical software could assess the accuracy of numerical computations, short of fully rigorous methods, to answer that pending questions: How many digits are correct, really? We demonstrate the possibilities with some case studies and display a new concept, infinite dimensional numerical linear algebra, which only recently has become feasible for effective coding using Julia.