Chebyshevian multistep methods for ordinary differential equations. (English) Zbl 0221.65123


65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
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[1] Bettis, D. G.: Numerical integration of products of fourier and ordinary polynomials. Numer. Math.14, 421-434 (1970). · Zbl 0198.49601 · doi:10.1007/BF02163028
[2] Dahlquist, G.: Convergence and stability in the numerical integration of ordinary differential equations. Math. Scand.4, 33-53 (1956). · Zbl 0071.11803
[3] Gautschi, W.: Numerical integration of ordinary differential equations based on trigonometric polynomials. Numer. Math.3, 381-397, (1961). · Zbl 0163.39002 · doi:10.1007/BF01386037
[4] Henrici, P.: Discrete variable methods in ordinary differential equations. New York: Wiley 1962. · Zbl 0112.34901
[5] Salzer, H. E.: Trigonometric interpolation and predictor-corrector formulas for numerical integration. ZAMM42, 403-412 (1962). · Zbl 0111.13002 · doi:10.1002/zamm.19620420906
[6] Stiefel, E., Bettis, D. G.: Stabilization of Cowells method Numer. Math.13, 154-175 (1969). · Zbl 0219.65062 · doi:10.1007/BF02163234
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