
doi: 10.1137/0731074
Exploratory results are presented for a class of variable-step, three- step, three-stage, explicit Nordsieck multivalue methods of order six. The aim is to demonstrate that the new methods are potentially more efficient than existing methods of the same order. Numerical comparisons are given.
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, variable-step, 2604 Applied Mathematics, numerical comparisons, 2600 Mathematics, 518, Nordsieck multivalue methods, Nonlinear ordinary differential equations and systems, 2605 Computational Mathematics, Numerical methods for initial value problems involving ordinary differential equations
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, variable-step, 2604 Applied Mathematics, numerical comparisons, 2600 Mathematics, 518, Nordsieck multivalue methods, Nonlinear ordinary differential equations and systems, 2605 Computational Mathematics, Numerical methods for initial value problems involving ordinary differential equations
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