Anna-Karin TornbergProfessor of Numerical Analysis
Telephone: +46 8 790 62 66,
Address: Math/NA, SCI, KTH, S-100 44 Stockholm, Sweden.
Visiting address: Teknikringen 14, room 309.
During the fall 2011, I was teaching the masters level course "Mathematical Models, Analysis and Simulation". Information about the course can be found here. I will teach this course also during fall 2012. In the fall, I will also teach a course in Applied Linear Algebra, within the new Bachelor program in Simulaton Technology and Virtual Design.
Openings for PhD studentsThere are currently no opneings for PhD students. The positions that have been announced this spring have been filled.
Master Thesis projectThe dynamics of flexible fibers are very intriguing. As they are compressed, for example in a shear flow, they store elastic energy, that they later can release to the fluid, leading to a strong non-Newtonian behavior of a fluid-fiber suspension. I have developed an algorithm to simulate such fibers, based on a boundary integral method. In this project, we want to consider the case where the resting state of the fiber is not straight, but rather some other shape, like helical (think DNA!). GET IN TOUCH! to discuss this project, or other possibilities!
Research InterestsNumerical algorithms for solving PDEs in dynamic geometries, with the main application to multiphase flows. Interface tracking methods, including surface representation for dynamic interfaces, the development of algorithms for PDEs on these interfaces and the analysis and improvement of associated regularization techniques. Boundary integral methods, including slender body theory, quadrature methods and fast summation methods needed to accelerate the simulations.
I am currently supervising the following PhD students:
Ludvig af Klinteberg
and a postdoc
My former PhD students:
Dag Lindbo , PhD, KTH 2011.
Shilpa Khatri , PhD, NYU 2009.
I am active within the focus area Micro and Complex flows of the Linne FLOW Centre at KTH. This working group is joining researchers at KTH performing theoretical, numerical and experimental work within this exciting field. Our research strategy can be found here .
I am active within the Swedish e-Science Research Center (SeRC) through the core community in Numerical Analysis. In the fall 2012, we are initiating a new project in collaboration with the Molecular Simulation community. The project concerns fast methods for electrostatic calculation in molecular dynamic simulations.
Education and backgroundPhD in Numerical Analysis, KTH (2000).
Postdoc (forskarassistent), NADA, KTH (2000-2001).
Postdoc, Courant Institute of Mathematical Sciences, New York University (NYU) (2001-2003).
Assistant Professor of Mathematics, Courant Institute of Mathematical Sciences, NYU (2003).
Promoted to Associate Professor with tenure at Courant Institute (2007).
Docent in Numerical Analysis at KTH (2007).
Full professor in Numerical Analysis at KTH (2012).
Distinctions/Awards:Elected member of the Royal Academy of Sciences, class of Mathematics, Dec. 2010.
The academy have approximately 420 Swedish and 175 foreign members, divided into ten scientific disciplines, called classes. See www.kva.se .
Alfred P. Sloan Research Fellow, 2006.
"The Sloan awards are intended to enhance the careers of the very best young faculty members in specified fields of science within North America".
Research fellow of the Royal Swedish Academy of Sciences (KVA), June 2005.
"Awards given to exceptional ly gifted researches to carry out their research in Sweden".
Carl-Axel Fröberg prize, 2004.
Awarded by the journal BIT Numerical Mathematics, for the paper: Multi-Dimensional Quadrature of Singular and Discontinuous Functions. (42:644-669, 2002).
Leslie Fox First Prize in Numerical Analysis, 2001.
This award is an international prize given annually to a young numerical analyst.
Werthen fellowship, 2001.
A Swedish prize awarded by the Royal Swedish Academy of Engineering Sciences (IVA).
President's fellowship (excellenstjänst) awarded at KTH (1997-2000).
Awarded to students with "an excellent record and strong potential for PhD studies".
ServicesChair of the department of Numerical Analysis.
Associate editor for Journal of Computational Physics
Associate editor for BIT Numerical Mathematics
Board member of Institute Mittag-Leffler
Board member of the Linne FLOW Centre at KTH.
Member of, "Nationalkommittén för matematik"
Editor, Mathematics in Industry book series , Springer Verlag.
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