ISSN:
1572-9265
Keywords:
two-step Runge-Kutta methods
;
stability analysis
;
least squares minimization
;
65L05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract The construction of two-step Runge-Kutta methods of order p and stage order q=p with stability polynomial given in advance is described. This polynomial is chosen to have a large interval of absolute stability for explicit methods and to be A-stable and L-stable for implicit methods. After satisfying the order and stage order conditions the remaining free parameters are computed by minimizing the sum of squares of the difference between the stability function of the method and a given polynomial at a sufficiently large number of points in the complex plane.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1019157029031
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