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Overimplicit multistep methods. (English) Zbl 0298.65052


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
65J99 Numerical analysis in abstract spaces
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References:

[1] I. Babuška M. Práger, E. Vitásek: Numerical processes in differential equations. Interscience publishers, London, New York, Sydney (1966). · Zbl 0156.16003
[2] G. Birkhoff, R. S. Varga: Discretization errors for well-set Cauchy problems I. J. Math, and Phys. 44 (1965), 1-23. · Zbl 0134.13406
[3] G. Dahlquist: A special stability problem for linear multistep methods. BIT 3 (1963), 27-43. · Zbl 0123.11703 · doi:10.1007/BF01963532
[4] F. R. Gantmacher (Ф. Р. Гантмахер): Теория матриц. Hauka, Москва (1966). · Zbl 0136.00410
[5] P. Henrici: Discrete variable methods in ordinary differential equations. J. Wiley & Sons, Inc., New York, London (1962). · Zbl 0112.34901
[6] J. Taufer (И. Тауфер): Об одном обобщенном многошаговом методе, сб. Применение функциональных методов к краевым задачам математической физики. Новосибирск (1972). · Zbl 0262.65050
[7] R. S. Varga: Matrix iterative analysis. Prentice-Hall, Inc., Englewood Cliffs, New Jersey (1962). · Zbl 0133.08602
[8] E. Vitásek (E. Bntacek): Строго неявные методы для решения дифференциальных уравнений. сб. Применение функциональных методов к краевым задачам математической физики, Новосибирск (1972).
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