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Discovery Projects - Grant ID: DP150103675

Title
Discovery Projects - Grant ID: DP150103675
Funding
ARC | Discovery Projects
Contract (GA) number
DP150103675
Start Date
2015/01/01
End Date
2017/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP150103675

 

  • A stable fast time-stepping method for fractional integral and derivative operators

    Zeng, Fanhai; Turner, Ian; Burrage, Kevin (2017)
    Projects: ARC | Discovery Projects - Grant ID: DP150103675 (DP150103675)
    A unified fast time-stepping method for both fractional integral and derivative operators is proposed. The fractional operator is decomposed into a local part with memory length $\Delta T$ and a history part, where the local part is approximated by the direct convolution method and the history part is approximated by a fast memory-saving method. The fast method has $O(n_0+\sum_{\ell}^L{q}_{\alpha}(N_{\ell}))$ active memory and $O(n_0n_T+ (n_T-n_0)\sum_{\ell}^L{q}_{\alpha}(N_{\ell}))$ operatio...
  • No project research data found
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