High Order Optimized Geometricintegrators for Linear

نویسندگان

  • S. Blanes
  • F. Casas
چکیده

In this paper new integration algorithms for linear diierential equations up to eighth order are obtained. Starting from Magnus expansion, methods based on Cayley transformation and Fer expansion are also built. The structure of the exact solution is retained while the computational cost is reduced compared to similar methods. Their relative performance is tested on some illustrative examples.

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تاریخ انتشار 2000