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A theory for Nyström methods. (English) Zbl 0307.65053


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
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References:

[1] Hairer, E., Wanner, G.: On the Butcher Group and General Multi-Value Methods. Computing13, 1-15 (1974) · Zbl 0293.65050 · doi:10.1007/BF02268387
[2] Bettis, D. G.: Equations of condition for High Order Runge-Kutta-Nystr?m formulae. Lecture Notes in Mathematics No. 362, p. 76-91, Springer 1972 · doi:10.1007/BFb0066586
[3] Fehlberg, E.: Classical Eight- and Lower-Order Runge-Kutta-Nystr?m Formulas with Stepsize Control for Special Second-Order Differential Equations. NASA Technical Report R-381, 1972
[4] Albrecht, J.: Beitr?ge zum Runge-Kutta-Verfahren. Z. Angew. Math. Mech.35, 100-110 (1955) · Zbl 0064.12406 · doi:10.1002/zamm.19550350305
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