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
URL:
http://dx.doi.org/10.1007/BF01937355