Group of Michael Multerer

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Two different realisations of a deformation field acting on the Stanford bunny.
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Kernel of a non-local operator and pattern of an isogeometric hierarchical matrix.
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Three different types of quadratures for the computation of high-dimensional integrals.

Head: Michael Multerer


PhD Students:

The research group of Michael Multerer works on the development, the implementation and the numerical analysis of efficient algorithms for computational uncertainty quantification. This particularly includes fast methods for nonlocal operators, as they arise from kernels or fundamental solutions of differential operators, and the treatment of high-dimensional problems. The latter emerge naturally in the discretisation of partial differential equations with random input data. Here, we focus on random shape deformations, the assimilation of measurement data and the computation of high-dimensional integrals by sparse quadrature techniques.

Ongoing Research Projects