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Explizite Konstruktion von linearen Mehrschrittblockverfahren. (German) Zbl 0516.65059


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
65-04 Software, source code, etc. for problems pertaining to numerical analysis
65L20 Stability and convergence of numerical methods for ordinary differential equations
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References:

[1] G. G. Dahlquist: A special stability problem for linear multistep methods. BIT 3, (1963), 27-43. · Zbl 0123.11703
[2] M. Práger J. Taufer E. Vitásek: Overimplicit methods for the solution of evolution problems. Acta Universitatis Carolinae - Mathematica et Physica 1 - 2, (1974), 125-133. · Zbl 0342.65052
[3] M. Práger J. Taufer E. Vitásek: Overimplicit multistep methods. Apl. Mat. 18, (1973), 399-421. · Zbl 0298.65052
[4] H. A. Watts: A-stable block implicit one-step methods. Sandia Laboratories, Albuquerque, Applied Mathematics (1971). · Zbl 0253.65045
[5] H. A. Watts L. F. Shampine: A-stable block implicit one-step methods. BIT 12, (1972), 252-266. · Zbl 0253.65045
[6] R. Vanselow: Stabilitäts- und Fehleruntersuchungen bei numerischen Verfahren zur Lösung steifer nichtlinearer Anfangswertprobleme. Diplomarbeit, TU Dresden (1978/79).
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