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Single step methods for inhomogeneous linear differential equations in Banach space. (English) Zbl 0477.65040


MSC:

65J10 Numerical solutions to equations with linear operators
34G10 Linear differential equations in abstract spaces
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References:

[1] 1. P. BRENNER and V. THOMÉE, On rational approximation of semi-groups, SIAM J. Numer. Anal. 16, 1979, 683-694. Zbl0413.41011 MR537280 · Zbl 0413.41011
[2] 2. M. CROUZEIX, Sur l’approximation des équations différentielles opérationnelles linéaires par des méthodes de Runge-Kutta, Thèse, Université Paris VI, 1975.
[3] 3. S. P. N-utf00D8_RSETT, Runge-Kutta methods with a multiple real eigenvalue only, BIT 16, 1976, 388-399. Zbl0345.65036 MR440928 · Zbl 0345.65036
[4] 4. S. P. NØRSETT and G. WANNER, Perturbed collocation and Runge-Kutta methods, Report, Université de Genève, 1978. Zbl0471.65045 · Zbl 0471.65045
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