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Clemens Heitzinger's
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Research

My research interests are

  • stochastic partial differential equations and uncertainty quantification:

    • proving existence, uniqueness, and smoothness of solutions,

    • developing numerical methods, and

    • multiscale problems (stochastic homogenization),

  • deterministic partial differential equations:

    • the Boltzmann transport equation and

    • multiscale problems (homogenization),

  • mathematical problems arising from applications in nanotechnology and metamaterials such as

    • stochastic aspects of nanopore senors,

    • stochastic aspects of nanowire sensors and nanoscale transistors, and

    • metamaterial lenses.

The research questions stem from the intersection of new mathematical problems and timely applications.

I believe that mathematical modeling and numerical simulations are an important contribution to the quantitative understanding of new technologies and their development.