Implementing second-derivative multistep methods using the Nordsieck polynomial representation

Author:
G. K. Gupta

Journal:
Math. Comp. **32** (1978), 13-18

MSC:
Primary 65L05

MathSciNet review:
0478630

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Abstract | References | Similar Articles | Additional Information

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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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