Magnus Grandin – PhD Student

I am a doctoral student at the Division of Scientific Computing at Uppsala University. Sverker Holmgren is my principal advisor.

Research

My research is focused on the development and implementation of massive-scale parallel and adaptive algorithms, particularly for high-dimensional time-dependent partial differential equations. I am also interested in communication avoiding algorithms for numerical linear algebra.

• I am the main developer of HAParaNDA, a framework for high-dimensional parallel numerical dynamics
• Numerical Quantum Dynamics
• Projects within UPMARC

Publications

Refereed publications

• Communication-efficient algorithms for numerical quantum dynamics. Magnus Gustafsson, Katharina Kormann, and Sverker Holmgren. In Applied Parallel and Scientific Computing: Part II, volume 7134 of Lecture Notes in Computer Science, pp 368-378, Springer-Verlag, Berlin, 2012. (DOI).
• An implementation framework for solving high-dimensional PDEs on massively parallel computers. Magnus Gustafsson and Sverker Holmgren. In Numerical Mathematics and Advanced Applications: 2009, pp 417-424, Springer-Verlag, Berlin, 2010. (DOI).

Other papers and reports

• Towards an adaptive solver for high-dimensional PDE problems on clusters of multicore processors. Magnus Gustafsson. Licentiate thesis, IT licentiate theses / Uppsala University, Department of Information Technology nr 2012-003, 2012. (External link).
• Numerical evaluation of the Communication-Avoiding Lanczos algorithm. Magnus Gustafsson, James Demmel, and Sverker Holmgren. Technical report / Department of Information Technology, Uppsala University nr 2012-001, 2012. (External link).
• Stable difference methods for block-structured adaptive grids. Magnus Gustafsson, Anna Nissen, and Katharina Kormann. Technical report / Department of Information Technology, Uppsala University nr 2011-022, 2011. (External link).
• Efficient implementation of a high-dimensional PDE-solver on multicore processors. Magnus Gustafsson and Sverker Holmgren. In Proc. 2nd Swedish Workshop on Multi-Core Computing, pp 64-66, Department of Information Technology, Uppsala University, Uppsala, Sweden, 2009.

Presentations

• M. Gustafsson: Towards an adaptive solver for high-dimensional PDE problems on clusters of multicore processors, Licentiate seminar, Uppsala, March 2012.
• M. Gustafsson, K. Kormann, S. Holmgren: Communication-efficient Krylov methods for exponential integration in quantum dynamics, PARA 2010, Reykjavík, June 2010.
• M. Gustafsson, K. Kormann, S. Holmgren: Parallel Lanczos-based exponential integrators for quantum dynamics, CMCIM 2010, Copper Mountain, April 2010.
• M. Gustafsson, S. Holmgren: Multicore-tailored implementation of s-step methods for high-dimensional PDEs, SIAM PP 2010, Seattle, February 2010.
• M. Gustafsson, S. Holmgren: Optimizing high-dimensional stencil operators for multicore processors, MCC 2009, Uppsala, November 2009.
• M. Gustafsson, S. Holmgren: An implementation framework for solving high-dimensional PDEs on massively parallel computers, ENUMATH 2009, Uppsala, June 2009.

Posters

• M. Gustafsson, A. Nissen, K. Kormann: High-Dimensional Adaptive Grids for Time-Dependent PDEs, SIAM CSE, Reno, March 2011.

Teaching

• Programming of Parallel Computers (Spring 2009, Spring 2011, Spring 2012)
• Scientific Computing I (Spring 2009, Spring 2010)