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11.4.4 Future Challenges
The current technique considered only a limited number of index structures
and possible approximation models. Preliminary results suggest that simu-
lation time can be reduced further by allowing the algorithm to adaptively
change the regions and the function approximation models used in these re-
gions. This needs to be examined in-depth and for simulations from different
scientific domains. Another interesting direction for future work is to study
thoroughly the tradeoff between simulation time, error threshold, and approx-
imation quality observed in practice.
Acknowledgement
The research reported in Section 11.3 has been supported by VINNOVA under
contract #2001-06074 and by ASTRON.
The research reported in Section 11.4 was performed in collaboration with
Stephen Pope and Zhiyun Ren from the Cornell Department of Mechani-
cal Engineering and Paul Chew from the Cornell Department of Computer
Science. This research is based upon work supported by the National Sci-
ence Foundation under grants CBET-0426787, IIS-0621438, IIS-0330201, EF-
0427914, and IIS-0612031. Any opinions, findings, conclusions, or recommen-
dations expressed in this material are those of the authors and do not necessar-
ily reflect the views of the National Science Foundation. We thank the Cornell
Center for Advanced Computing for support in running the simulations.
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