Some new high-order multistep formulae for solving stiff equations

Author:
G. K. Gupta

Journal:
Math. Comp. **30** (1976), 417-432

MSC:
Primary 65L05

DOI:
https://doi.org/10.1090/S0025-5718-1976-0423812-1

MathSciNet review:
0423812

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Abstract | References | Similar Articles | Additional Information

Abstract: Several new multistep formulae of orders up to 9 for solving stiff ordinary differential equations are presented. Results of numerical testing of these new formulae and some formulae presented in earlier papers and the stiff formulae used by Gear are included.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1976-0423812-1

Keywords:
Linear multistep methods,
stiff differential equations,
numerical solution of ODE

Article copyright:
© Copyright 1976
American Mathematical Society