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The numerical integration of ordinary differential equations. (English) Zbl 0155.20601


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[1] J. C. Butcher, A modified multistep method for the numerical integration of ordinary differential equations, J. Assoc. Comput. Mach. 12 (1965), 124 – 135. · Zbl 0125.07102 · doi:10.1145/321250.321261
[2] Germund Dahlquist, Convergence and stability in the numerical integration of ordinary differential equations, Math. Scand. 4 (1956), 33 – 53. · Zbl 0071.11803 · doi:10.7146/math.scand.a-10454
[3] J. Descloux, “Note on a paper by A. Nordsieck,” Report #131, Department of Computer Science, University of Illinois, Urbana, Ill., 1963.
[4] C. W. Gear, Hybrid methods for initial value problems in ordinary differential equations, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 2 (1965), 69 – 86. · Zbl 0173.44403
[5] C. W. Gear, The numerical integration of ordinary differential equations, Math. Comp. 21 (1967), 146 – 156. · Zbl 0155.20601
[6] William B. Gragg and Hans J. Stetter, Generalized multistep predictor-corrector methods, J. Assoc. Comput. Mach. 11 (1964), 188 – 209. · Zbl 0168.13803 · doi:10.1145/321217.321223
[7] Arnold Nordsieck, On numerical integration of ordinary differential equations, Math. Comp. 16 (1962), 22 – 49. · Zbl 0105.31902
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