Some new highorder multistep formulae for solving stiff equations
Author:
G. K. Gupta
Journal:
Math. Comp. 30 (1976), 417432
MSC:
Primary 65L05
MathSciNet review:
0423812
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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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 W. H. ENRIGHT, T. E. HULL & B. LINDBERG, "Comparing numerical methods for stiff systems of O.D.E.'s," BIT, v. 15, 1975, pp. 1048.
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 C. W. GEAR, "The automatic integration of stiff ordinary differential equations (with discussion)," Information Processing 68 (Proc. IFIP Congress, Edinburgh, 1968), Vol. I: Mathematics, Software, NorthHolland, Amsterdam, 1969, pp. 187193. MR 41 #4808. MR 0260180 (41:4808)
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 C. W. GEAR, "Algorithm 407DIFSUB for solution of ordinary differential equations," Comm. ACM, v. 14, 1971, pp. 185190.
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 B. LINDBERG, "On smoothing and extrapolation for the trapezoidal rule," BIT, v. 11, 1971, pp. 2952. MR 43 #7074. MR 0281356 (43:7074)
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 N. MORRISON, Introduction to Sequential Smoothing and Prediction, McGrawHill, New York, 1969.
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 C. S. WALLACE & G. K. GUPTA, "General linear multistep methods to solve ordinary differential equations," Austral. Comput. J., v. 5, 1973, pp. 6269. MR 0362919 (50:15357)
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 O. B. WIDLUND, "A note on unconditionally stable linear multistep methods," BIT, v. 7, 1967, pp. 6570. MR 35 #6373. MR 0215533 (35:6373)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197604238121
PII:
S 00255718(1976)04238121
Keywords:
Linear multistep methods,
stiff differential equations,
numerical solution of ODE
Article copyright:
© Copyright 1976
American Mathematical Society
