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cs.MS2025
Adding complex numbers to expression template algorithmic differentiation tools
Max Sagebaum, Nicolas R. Gauger
Operator overloading algorithmic differentiation (AD) tools are usually only developed for floating-point values. Algorithmic optimization for, e.g., linear systems solvers or matr…
math.NA2025
Refined stability estimates for mixed problems by exploiting semi norm arguments
Nicolas Gauger, Alexander Linke, Christian Merdon
Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pres…