Olof Runborg

Professor in Numerical Analysis

Email: olofr@nada.kth.se
Phone: 08 - 790 69 10,
Snail mail: NA, Matematiska Institutionen, KTH, 100 44 Stockholm
Office: no 3529, level 5, Lindstedtsvägen 25

Background

MSc Electrical Engineering, KTH, Stockholm ('92). BSc Economics & Business Administration, SSE, Stockholm ('94). PhD Numerical Analysis/Applied Math, KTH, Stockholm ('98). Postdoc, Paris VI, ('99). Postdoc, Princeton University, PACM, ('00-'01). Docent, NADA, KTH, ('03). Professor, KTH, ('10).

Research

My research centers on the numerical treatment of multiscale phenomena in partial differential equations and the related subjects of homogenization and multiresolution analysis. One of my areas of interest is high-frequency wave propagation, in particular numerical methods and models for multiphase geometrical optics and techniques for coupling Helmholtz solvers with geometrical optics solvers. I have also studied more theoretical issues related to the high-frequency limit of the Helmholtz equation and Wigner transforms. Another research area concerns numerical homogenization. I have worked with a method based on wavelet projections, mainly for linear problems, but also for simpler nonlinear problems. More recently, I have studied numerical techniques for simulating coarse quantities using microscopic/detailed solvers, including coarse bifurcation analysis of non-linear problems. Other research interests include subdivision for curve and surface representation, in particular the mathematical properties of so-called normal meshes. Earlier, I have developed mesh generation tools for aerodynamics applications.

Publications

A list of selected publications.

Teaching

Other

Numbers on the Internet. (Some really serious research.)

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