1998  |  Professor of Mathematics (Applied)
Cornell University 1997. PhD
CH 306C
elbueler@alaska.edu

I do research in applied and numerical mathematics, including large-scale fluid simulations and related scientific and engineering computations.  Specifically, my interests include ice flow in glaciers, partial differential equations, variational inequalities, and the numerical analysis of these problems. The open-source software I use (and contribute to) include the PETSc scientific computing library, the Firedrake finite element library, and the PISM ice sheet and glacier model.  I especially like to teach analysis, differential equations, linear algebra, and numerical subjects.  I try to help students from all over campus do mathematics on computers!

Highlighted works:

Bueler, PETSc for Partial Differential Equations: Numerical Solutions in C and Python, SIAM Press 2021.

Bueler, 2021. Conservation laws for free-boundary fluid layers, SIAM J. Appl. Math., to appear.
Bueler, 2016. Stable finite volume element schemes for the shallow-ice approximation, J. Glaciol. 62 (232), 230–242.

Bueler and J. Brown*, 2009. Shallow shelf approximation as a “sliding law” in a thermomechanically coupled ice sheet model, J. Geophys. Res. (Earth Surface) 114, F03008, doi:10.1029/2008JF001179.

Bueler, 2007. Error bounds for approximate eigenvalues of periodic-coefficient linear delay
differential equations, SIAM J. Num. Analysis 45 (6), 2510–2536

*denotes UAF graduate students