Explicit two-step methods with one off-step node

Author:

Shintani Hisayoshi

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference5 articles.

1. [1] L. Lapidus and J. H, Seinfeld, Numerical solution of ordinary differential equations, Academic Press, New York and London, 1971.

2. [2] E. B. Shanks, Solution of differential equations by evaluations of functions, Math. Comp., 20 (1966), 21-38.

3. [3] H. Shintani, On pseudo-Runge-Kutta methods of the third kind, Hiroshima Math. J., 11 (1981), 247-254.

4. [4] H. Shintani, Two-step methods with one off-step node, Hiroshima Math. J,, 14 (1984), 479-487.

5. [5] H. Shintani, Convergence, consistency and stability of step-by-step methods for ordinary differential equations, Hiroshima Math. J. (To appear.)

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