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