ISSN:
1572-9125
Keywords:
65L05
;
general linear method
;
diagonally implicit method
;
DIMSIM
;
order conditions
;
stability polynomial
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The special case of diagonally-implicit multistage integration methods is considered in which the order, the stage order, the number of values passed between steps and the number of stages in a step, all coincide. It is shown that a similarity transformation can be applied to the matrices characterizing the method so as to simplify the expression for the stability polynomial and thus aid in the search for methods with acceptable stability.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01935014