Title: Coordinate-free numerics: all your variation points for free?

Authors: Magne Haveraaen, Helmer Andre Friis

Addresses: Department of Informatics, University of Bergen, Norway. ' International Research Institute of Stavanger (IRIS), Norway; Department of Informatics, University of Bergen, Norway

Abstract: Whenever we develop software we know it will evolve over time, and it will need to be adapted to changing requirements. A variation point is where a program has been designed for change, or where it easily can be accommodated to change. Here we discuss variation points in numerical solvers for Partial Differential Equations (PDEs). Our experience is that an abstraction oriented approach based on coordinate-free numerics naturally provides most, if not all, variation points needed.

Keywords: coordinate-free numerics; object-oriented programming; OOP; variation points; PDEs; partial differential equations; Sophus software library; numerical software; parallel processing; multicore programming.

DOI: 10.1504/IJCSE.2009.029159

International Journal of Computational Science and Engineering, 2009 Vol.4 No.4, pp.223 - 230

Published online: 08 Nov 2009 *

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