Accession Number:

ADA029729

Title:

High-Order A-Stable Averaging Algorithms for Stiff Differential Systems.

Descriptive Note:

Interim rept.,

Corporate Author:

IBM THOMAS J WATSON RESEARCH CENTER YORKTOWN HEIGHTS N Y

Personal Author(s):

Report Date:

1975-09-24

Pagination or Media Count:

24.0

Abstract:

A-stable algorithms of orders of accuracy p 4,5, and 6 are proposed for solving stiff systems of differential equations. These algorithms are based on forming suitable averages linear combinations of 2,3, and 4 A-stable solutions, respectively, each computed by a different number of a two parameter-class of second-order, three-step linear integration formulas. The present algorithms lend themselves naturally to parallel processing. Numerical results are given for two test problems.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE