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Revisionist
integral deferred correction with adaptive step-size
control
Andrew J. Christlieb, Colin B. Macdonald, Benjamin W. Ong and Raymond J. Spiteri |
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Vol. 10 (2015), No. 1, 1–25
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Abstract |
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Adaptive step-size control is a critical feature for the robust and efficient numerical solution of initial-value problems in ordinary differential equations. In this paper, we show that adaptive step-size control can be incorporated within a family of parallel time integrators known as revisionist integral deferred correction (RIDC) methods. The RIDC framework allows for various strategies to implement step-size control, and we report results from exploring a few of them. |
Keywords
initial-value problems, revisionist integral deferred
correction, parallel time integrators, local error
estimation, adaptive step-size control
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Mathematical Subject Classification 2010
Primary: 65H10, 65L05, 65Y05
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Milestones
Received: 9 October 2013
Revised: 10 December 2014
Accepted: 17 December 2014
Published: 27 March 2015
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Authors |
| Andrew J. Christlieb | |
| Department of Mathematics Michigan State University East Lansing, 48823 United States |
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| Colin B. Macdonald | |
| Mathematical Institute Oxford University Oxford OX2 6GG United Kingdom |
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| Benjamin W. Ong | |
| Department of Mathematics Michigan Technological University Houghton, MI 49931 United States |
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| Raymond J. Spiteri | |
| Department of Computer Science University of Saskatchewan Saskatoon S7N 5C9 Canada |
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