Accession Number : AD0775558
Title : A New Class of Highly-Stable 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