A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube

Numerical differentiation of a function, contaminated with noise, over the unit interval $[0,1] \subset \mathbb{R}$ by inverting the simple integration operator $J:L^2([0,1]) \to L^2([0,1])$ defined as $[Jx](s):=\int_0^s x(t) dt$ is discussed extensively in the literature. The complete singular syst...

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Hauptverfasser:	Hofmann, Bernd, Fischer, Hans-Jürgen, Plato, Robert
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Numerical Analysis Mathematics - Numerical Analysis
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