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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 27 (1987), S. 62-71 
    ISSN: 1572-9125
    Keywords: 65L05 ; Numerical analysis ; stiff initial value problems ; implicit Runge-Kutta methods ; B-convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In a previous paper it was shown that for a class of semi-linear problems many high order Runge-Kutta methods have order of optimalB-convergence one higher than the stage order. In this paper we show that for the more general class of nonlinear dissipative problems such as result holds only for a small class of Runge-Kutta methods and that such methods have at most classical order 3.
    Type of Medium: Electronic Resource
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