Andrea Arteaga, Oliver Fuhrer, Torsten Hoefler, Thomas Schulthess:

Model-Driven Choice of Numerical Methods for the Solution of the Linear Advection Equation

(In Proceedings of the International Conference on Computational Science (ICCS'17), presented in Zurich, Switzerland, Elsevier, Jun. 2017)

Abstract

Designing a partial differential equations solver is a complex task which involves making choices about the solution algorithm and its parameters. Such choices are usually done on the basis of personal preference or numerical experiments, which can introduce significant bias on the selection process. In this work we develop a methodology to drive this selection process towards the optimal choices by modelling the accuracy and the performance of the solution algorithm. We show how this methodology can be successfully applied on the linear advection problem. As a result, the selection can be optimally performed with a much lower investment on the development of high-performance versions of the solvers and without using the target architecture for numerical experiments.

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BibTeX

@inproceedings{arteaga-model-driven, author={Andrea Arteaga and Oliver Fuhrer and Torsten Hoefler and Thomas Schulthess}, title={{Model-Driven Choice of Numerical Methods for the Solution of the Linear Advection Equation}}, year={2017}, month={Jun.}, booktitle={Proceedings of the International Conference on Computational Science (ICCS'17)}, location={Zurich, Switzerland}, publisher={Elsevier}, source={http://www.unixer.de/~htor/publications/}, }