Abstract
We address the challenge of speeding-up the solving of ODE/DAE/EDP nonlinear systems in term of elapsed time with using parallel computer. As modern time integrators use adaptive time steps to pass the stiffness of the solution, we propose to extend the C(p, q, j) introduced in Garbey and all. (J. Comput. Phys. Vol. 161 No. 2 401-427 ) in order to use adaptive time step between the coupled subsytems of equations and to perform asynchronous communications to send the data needed for extrapolation. The details of implementation will be given as well as numerical and efficiency performances.
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References
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PHAM, T., OUDIN-DARDUN, F. (2009). C(p, q, j) Scheme with Adaptive time step and Asynchronous Communications. In: Parallel Computational Fluid Dynamics 2007. Lecture Notes in Computational Science and Engineering, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92744-0_41
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DOI: https://doi.org/10.1007/978-3-540-92744-0_41
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Print ISBN: 978-3-540-92743-3
Online ISBN: 978-3-540-92744-0
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