Design of numerical PDE solvers for
genericity and variability

Participants

• Michael Thuné (coordinator), Dept. of Information Technology, Uppsala Univ.
• Malin Ljungberg, Dept. of Information Technology, Uppsala Univ.
• Kurt Otto, Dept. of Information Technology, Uppsala Univ.
• Krister Åhlander, Dept. of Information Technology, Uppsala Univ.

Research

The aim of this project is to construct a framework, i.e., a set of software modules, which will act as building blocks when writing programs for the numerical solution of partial differential equations.

Suitable software structures for numerical solution of partial differential equations on structured grids are investigated. An efficient implementation of composable difference operators is obtained through the use of parameterized classes (templates).

Publications

Refereed

• Object-oriented modeling of parallel PDE solvers. Michael Thuné, Krister Åhlander, Malin Ljungberg, Markus Nordén, Kurt Otto, and Jarmo Rantakokko. In The Architecture of Scientific Software, pp 159-174, Kluwer Academic Publishers, Norwell, MA, 2001.
• Mixed C₊₊/Fortran 90 implementation of parallel flow solvers. Malin Ljungberg and Michael Thuné. In Parallel Computational Fluid Dynamics: Trends and Applications, pp 233-240, Elsevier Science, Amsterdam, The Netherlands, 2001. (DOI).
• Generic programming aspects of symmetry exploiting numerical software. Malin Ljungberg and Krister Åhlander. In Proc. ECCOMAS Congress 2004, p 20, Jyväskylä, Finland, 2004. (Fulltext).
• Sorting out the relationships between pairs of iterators, values, and references. Krister Åhlander. In Generative Programming and Component Engineering, volume 3676 of Lecture Notes in Computer Science, pp 342-356, Springer-Verlag, Berlin, 2005. (DOI).
• Designing for geometrical symmetry exploitation. André Yamba Yamba, Krister Åhlander, and Malin Ljungberg. In Scientific Programming, volume 14, pp 61-80, 2006. (External link).
• Design and usability of a PDE solver framework for curvilinear coordinates. Malin Ljungberg, Kurt Otto, and Michael Thuné. In Advances in Engineering Software, volume 37, pp 814-825, 2006. (DOI).

Theses

• Handling of curvilinear coordinates in a PDE solver framework. Malin Ljungberg. Licentiate thesis, IT licentiate theses / Uppsala University, Department of Information Technology nr 2003-004, 2003. (External link).
• Design of High Performance Computing Software for Genericity and Variability. Malin Ljungberg. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 285, Acta Universitatis Upsaliensis, Uppsala, 2007. (KÖP BOKEN / BUY THIS BOOK, fulltext).