Krister Åhlander

January 2000 till July 2001, I was post doc at the University of Bergen, at the Department of Informatics. Now I am back at the University of Uppsala, at the Department of Scientific Computing, where I did my PhD. Please visit my Uppsala home page

Post doc summary

I have worked primarily in the group led by Hans Munthe-Kaas and Magne Haveraaen, in the projects Coordinate free methods in numerics and Geometric integration for PDEs. Geometric integration involves integration methods that respect geometric properties. I was also involved in the Sophus project. All these projects illustrate the multi-disciplinary nature of scientific computing, by implementing abstract mathematical concepts, such as a coordinate free formulation of PDEs, with modern computer science technologies, such as algebraic specifications.

During the work in the projects above, I became specifically interested in software for tensors. In the EinSum project, I developed C++ support for index notation, including Einstein summation. I also included software for tensor symmetries.

Krister Åhlander
krister@uu.tdb.se
(krister@ii.uib.no)

Post doc publications

The following are publications connected to my stay in Bergen.
Verifying Extensions of OO Frameworks: An Example from Scientific Computing
In B. Sanchez et al., editors, Information Systems Development, Volume II, pp. 375 - 378, IIIS, 2000.

A hybrid method for the wave equation
Larisa Beilina, Klas Samuelsson KÅ. Technical Report 2001-14, Finite Element Center, Chalmers University of Technology, Göteborg, Sweden, 2001.

Efficiency of a Hybrid Method for the Wave Equation
Larisa Beilina, Klas Samuelsson KÅ. In proceedings of FEM3D, Finite Element Methods for Three-dimensional Problems, Jyväskylä, Finland, June 28 - July 1, 2000.

Einstein summation for Multi-dimensional arrays
In proceedings of NIK 2000, Norsk Informatikk Konferanse, Bodø, Norway, 20 - 22 November 2000, pp 67 - 78, Tapir, Norway, 2000.

Mathematical Abstractions for Scientific Computing
KÅ, Magne Haveraaen and Hans Munthe-Kaas. In R. Boisvert and P. Tang, editors, The architecture of Scientific Software, pp. 145-158, Kluwer Academic Publishers, Boston, 2001.

Object-oriented Modeling of Parallel PDE Solvers
Michael Thuné, KÅ, Malin Ljungberg, Markus Nordén, Kurt Otto, Jarmo Rantakokko. In R. Boisvert and P. Tang, editors, The architecture of Scientific Software, pp. 159-174, Kluwer Academic Publishers, Boston, 2001.

Support for tensor symmetries in EinSum
Technical Report 212, Dept. of Informatics, University of Bergen, Norway, June, 2001.

On OO Frameworks and coordinate free formulations for PDEs
KÅ, Magne Haveraaen and Hans Munthe-Kaas. Presented at the minisymposium Advances in Software Technology for Computational Mechanics, held at the sixth Congress of the US Association for Computational Mechanics, Dearborn, Michigan, August 1-3, 2001. Submitted.