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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

The application of linear multistep methods to singular initial value problems


Authors: Frank R. de Hoog and Weiss Richard
Journal: Math. Comp. 31 (1977), 676-690
MSC: Primary 65L05
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Abstract: A theory for linear multistep schemes applied to the initial value problem for a nonlinear first order system of differential equations with a singularity of the first kind is developed. Predictor-corrector schemes are also considered.

The specific examples given are systems derived from partial differential equations in the presence of symmetry.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-77-99844-1
PII: S 0025-5718(77)99844-1
Keywords: Initial value problem, singularity of the first kind, linear multistep method, stability, convergence, predictor-corrector scheme
Article copyright: © Copyright 1977 American Mathematical Society