Teaching and supervision
Teaching
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Helsing has 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 current classes are here and here .
Supervision of PhD students
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Rikard Ojala, Numerical Analysis, LTH. PhD thesis "Towards an
All-Embracing Elliptic Solver in 2D" defended in December 2011.[Abstract].
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Jonas Englund, Numerical Analysis, LTH. PhD thesis "Singular
Integral Equations: Application to Elasticity and Numerical
Solution" defended in June 2006.[Abstract].
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Anders Jonsson, Solid Mechanics, KTH. PhD thesis "Integral equation
methods for Fracture Mechanics and Micro-Mechanical Problems"
defended in May 2002. [Abstract].
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Henrik Christiansson, Theoretical Physics, KTH. (de facto
supervision). PhD thesis "High-Order Accurate Calculations and
Bounds on Effective Properties of Composites" defended in June
1997. [Abstract].
Supervision of Master's programme students
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Rikard Ojala, Centre for Mathematical Sciences, Lund University. MSc
thesis "Evaluation of Layer Potentials Close to Their Sources"
approved in October 2006.
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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.
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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
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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
2009.