Parallel implementation of interpolants for Runge-Kutta pairs

Interpolation for explicit Runge-Kutta pairs seems to be more suited to exploiting parallelism than is implementation of the pairs themselves. Recently a sequential pair BS(4,5) was derived that appears to be more effective than the pairs found in popular sequential codes. A fifth-order interpolant...

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Bibliographic Details
Published in:Applied numerical mathematics 1992-04, Vol.9 (3), p.371-383
Main Authors: Bogacki, P., Shampine, L.F.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
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Summary:Interpolation for explicit Runge-Kutta pairs seems to be more suited to exploiting parallelism than is implementation of the pairs themselves. Recently a sequential pair BS(4,5) was derived that appears to be more effective than the pairs found in popular sequential codes. A fifth-order interpolant is developed for the BS(4,5) pair that can be constructed on one processor at the same time that another processor is advancing the integration.
ISSN:0168-9274
1873-5460
DOI:10.1016/0168-9274(92)90028-C