Some New High-Order Multistep Formulae for Solving Stiff Equations
- 1 July 1976
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 30 (135) , 417-432
- https://doi.org/10.2307/2005317
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.Keywords
This publication has 5 references indexed in Scilit:
- Some New Multistep Methods for Solving Ordinary Differential EquationsMathematics of Computation, 1975
- Second Derivative Multistep Methods for Stiff Ordinary Differential EquationsSIAM Journal on Numerical Analysis, 1974
- Comparing Numerical Methods for Ordinary Differential EquationsSIAM Journal on Numerical Analysis, 1972
- On smoothing and extrapolation for the trapezoidal ruleBIT Numerical Mathematics, 1971
- A note on unconditionally stable linear multistep methodsBIT Numerical Mathematics, 1967