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math.NA2025
Unique continuation for the wave equation: the stability landscape
Erik Burman, Lauri Oksanen, Janosch Preuss +1
We consider a unique continuation problem for the wave equation given data in a volumetric subset of the space time domain. In the absence of data on the lateral boundary of the sp…
math.NA2025
A Computational Method for the Inverse Robin Problem with Convergence Rate
Erik Burman, Marvin Knöller, Lauri Oksanen
The inverse Robin problem consists in determining the Robin parameter in an elliptic partial differential equation posed on a domain . In this work it is assumed that the right-…
math.NA2025
Posterior contraction rates of computational methods for Bayesian data assimilation
Erik Burman, Mingfei Lu
In this paper, we analyze posterior consistency of a Bayesian data assimilation problem under discretization. We prove convergence rates for the discrete posterior to ground truth…