
Accession Number : AD0775558
Title : A New Class of HighlyStable Methods: (A sub 0)  Stable Methods.
Descriptive Note : Technical rept.,
Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES
Personal Author(s) : Cryer,Colin W.
Report Date : SEP 1973
Pagination or Media Count : 27
Abstract : A linear multistep method (rho, Sigma) is defined to be (A sub 0) stable if when it is applied to the equation x(t) = lambda x(t) the approximate solution (x sup h) (t sup n) tends to zero as (t sub n) nears infinity for all values of the stepsize h and all lambda ( o, infinity). Various properties of (A sub 0) stable methods are derived. It is shown that most of the properties of A(alpha) stable methods are shared by (A sub 0) stable methods. It is proved that there exist (A sub 0) stable methods of arbitrarily high order. (Author)
Descriptors : *Differential equations, Numerical analysis, Matrices(Mathematics), Stability, Theorems
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE