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math.NA2024
On a modified Hilbert transformation, the discrete inf-sup condition, and error estimates
Richard Löscher, Olaf Steinbach, Marco Zank
In this paper, we analyze the discrete inf-sup condition and related error estimates for a modified Hilbert transformation as used in the space-time discretization of time-dependen…
math.NA2024
Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation
Helmut Harbrecht, Christoph Schwab, Marco Zank
On a finite time interval , we consider the multiresolution Galerkin discretization of a modified Hilbert transform which arises in the space-time Galerkin di…