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Mathematics of Computation

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Implementing second-derivative multistep methods using the Nordsieck polynomial representation


Author: G. K. Gupta
Journal: Math. Comp. 32 (1978), 13-18
MSC: Primary 65L05
DOI: https://doi.org/10.1090/S0025-5718-1978-0478630-7
MathSciNet review: 0478630
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Abstract: A polynomial representation for the second-derivative linear multistep methods for solving ordinary differential equations is presented. This representation leads to an implementation of the second-derivative methods using the Nordsieck polynomial representation. Possible advantages of such an implementation are then discussed.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1978-0478630-7
Keywords: Linear multistep methods, stiff differential equations, multiderivative methods, numerical solutions of ordinary differential equations
Article copyright: © Copyright 1978 American Mathematical Society