Accession Number : AD0726419

Title :   A Proof of the Instability of Backward-Difference Multistep Methods for the Numerical Integration of Ordinary Differential Equations.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s) : Cryer,Colin W.

Report Date : MAY 1971

Pagination or Media Count : 57

Abstract : It is shown that the backward difference multistep method summation, m = 1 to q of (1/m(del sup m)(y sup p))=h(f sub p) for the numerical integration of y'(x) = f(x,y) is stable in the sense of Dahlquist iff 1 = or < q = or < 6. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), PARTIAL DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS), NUMERICAL ANALYSIS, COMPLEX VARIABLES, COMPUTER PROGRAMS, POLYNOMIALS, INTERPOLATION, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE