C. Greif

activity

20192023

N

-width for wave problems

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2023

The Kolmogorov N-width for linear transport: Exact representation and the influence of the data

Florian Arbes, Constantin Greif, Karsten Urban

The Kolmogorov $N$ -width describes the best possible error one can achieve by elements of an $N$ -dimensional linear space. Its decay has extensively been studied in Approximation T…

math.NA2021

Linear/Ridge expansions: Enhancing linear approximations by ridge functions

Constantin Greif, Philipp Junk, Karsten Urban

We consider approximations formed by the sum of a linear combination of given functions enhanced by ridge functions -- a Linear/Ridge expansion. For an explicitly or implicitly giv…

math.NA2019★ 3 cited

Decay of the Kolmogorov $N$ -width for wave problems

Constantin Greif, Karsten Urban

The Kolmogorov $N$ -width $d_{N} (M)$ describes the rate of the worst-case error (w.r.t.\ a subset $M \subset H$ of a normed space $H$ ) arising from a projection ont…

The Kolmogorov N-width for linear transport: Exact representation and the influence of the data

Linear/Ridge expansions: Enhancing linear approximations by ridge functions

Decay of the Kolmogorov N-width for wave problems

Decay of the Kolmogorov $N$ -width for wave problems