Professor of Mathematics
Warren Weaver Hall, Office 929
Ph.D. (Dr.), Mathematics, University of Graz, Austria, 2004.
M.S. (Mag.), Mathematics, University of Graz, Austria, 2001.
M.S. (Mag.), Mathematics and Geometry Education, Graz University of Technology and University of Graz, Austria, 2001.
My research focuses on solvers for large-scale PDE systems, on
uncertainty quantification, and scientific computing and scientific machine
learning. In particular, I work on Bayesian inverse problems, extreme
event probability estimation, PDE-constrained optimization and
optimization under uncertainty.
Most of my research is driven by societally important applications in
climate (sea and land ice, tsunamis), in plasma physics (fusion) and
in computational earth science (mantle flow and
Y. Shih, G. Stadler and F. Wechsung, Robust multigrid techniques for augmented Lagrangian
preconditioning of incompressible Stokes equations with extreme viscosity variations, SIAM
Journal on Scientific Computing, (2022).
S. Tong, E. Vanden-Eijnden, G. Stadler, Extreme event probability estimation using
PDE-constrained optimization and large deviation theory, with application to tsunamis,
Communications in Applied Mathematics and Computational Science, 16(2), pp 181-225,
T. Isaac, N. Petra, G. Stadler and O. Ghattas: Scalable and efficient algorithms for the
propagation of uncertainty from data through inference to prediction for large-scale
problems, with application to flow of the Antarctic ice sheet, Journal of Computational
Physics 296, pp. 348-368 (2015).