Teaching and supervision
I have developed and lectured a large number of undergraduate and
graduate courses since 1994. Topics include scientific computing,
numerical analysis, ordinary differential equations, complex analysis,
numerical linear algebra, integral equations, and multilevel
methods. Links to some classes are here and here .
Karl-Mikael Perfekt, fall of 2016.
Supervision of PhD students
Alma Mašić, Mathematics, LTH. (main supervisor). PhD
thesis "Investigation of a biofilm reactor model with suspended
biomass" defended in March 2013. [Abstract].
Rikard Ojala, Numerical Analysis, LTH. (main supervisor). PhD thesis
"Towards an All-Embracing Elliptic Solver in 2D" defended in
December 2011. [Abstract].
Jonas Englund, Numerical Analysis, LTH. (main supervisor). PhD
thesis "Singular Integral Equations: Application to Elasticity and
Numerical Solution" defended in June 2006. [Abstract].
Anders Jonsson, Solid Mechanics, KTH. (main supervisor). PhD thesis
"Integral equation methods for Fracture Mechanics and
Micro-Mechanical Problems" defended in May 2002. [Abstract].
Henrik Christiansson, Theoretical Physics, KTH. (de facto
supervior). PhD thesis "High-Order Accurate Calculations and Bounds
on Effective Properties of Composites" defended in June 1997. [Abstract].
Supervision of Licentiate degree students
Pelle Borgeke, Mathematics, Faculty of Science, Lund
University. (assistant supervisor). Licentiate thesis "Spectral
instability for semiclassical pseudodifferential operators of
non-principal type" defended in June 2012.
Supervision of Master's programme students
Rikard Ojala, Centre for Mathematical Sciences, Lund University. MSc
thesis "Evaluation of Layer Potentials Close to Their Sources"
approved in October 2006.
Eddie Wadbro, Centre for Mathematical Sciences, Lund University. MSc
thesis "Laplace's Equation and the Dirichlet-Neumann Map in Multiply
Connected Domains" approved in December 2003.
Jonas Englund, Scientific Computing, Uppsala University. MSc thesis
"Fast, Accurate and Stable Algorithm for the Stress Field around a
Zig-Zag-Shaped Crack" approved in April 2001.
Supervision of Bachelor's programme students
Kristoffer Virta, Centre for Mathematical Sciences, Lund
University. BSc thesis "Numerical Treatment of the Inverse to the
Dominant Part of a Singular Integral Operator " approved in June