Explicit two-step methods with one off-step node
Hisayoshi Shintani
Source: Hiroshima Math. J. Volume 15, Number 1
(1985), 109-116.
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65L05
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206132812
Mathematical Reviews number (MathSciNet): MR790031
Zentralblatt MATH identifier: 0575.65073
References
[1] L. Lapidus and J. H, Seinfeld, Numerical solution of ordinary differential equations, Academic Press, New York and London, 1971.
Zentralblatt MATH: 0217.21601
Mathematical Reviews (MathSciNet): MR281355
[2] E. B. Shanks, Solution of differential equations by evaluations of functions, Math. Comp., 20 (1966), 21-38.
Zentralblatt MATH: 0133.38303
Mathematical Reviews (MathSciNet): MR187406
[3] H. Shintani, On pseudo-Runge-Kutta methods of the third kind, Hiroshima Math. J., 11 (1981), 247-254.
Zentralblatt MATH: 0468.65039
Mathematical Reviews (MathSciNet): MR620536
[4] H. Shintani, Two-step methods with one off-step node, Hiroshima Math. J,, 14 (1984), 479-487.
Zentralblatt MATH: 0567.65048
Mathematical Reviews (MathSciNet): MR772980
[5] H. Shintani, Convergence, consistency and stability of step-by-step methods for ordinary differential equations, Hiroshima Math. J. (To appear.)
Zentralblatt MATH: 0575.65071
Mathematical Reviews (MathSciNet): MR790030
Hiroshima Mathematical Journal
