An E cient Out - of - Core Algorithm for ImplicitTime - Stepping Schemes in One

نویسنده

  • Sivan Toledo
چکیده

This paper describes an eecient out-of-core algorithm for implicit time stepping schemes in one dimension. The algorithm can achieve a reduction in the amount of I/O over a conventional algorithm by a factor of maxf p M ; minfM;M 2 =ngg where M is the size of primary memory and n is the size of the state vector. We have implemented the algorithm and found it to be more than 5 times faster than a conventional algorithm on a workstation when the problem does not t into the workstation's primary memory. In numerical experiments, the algorithm exhibited good numerical stability.

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تاریخ انتشار 2007