The Stability Properties of Singly-implicit General Linear Methods |
| |
Authors: | BURRAGE K; CHIPMAN F H |
| |
Institution: |
Department of Computer Science, University of Auckland New Zealand
Department of Mathematics, Acadia University Wolfville, N.S. Canada
|
| |
Abstract: | In this paper we examine the linear stability properties ofsingly-implicit general linear methods. We show numericallythat there exist A-stable methods of up to order 14. Based onvarious stability and implementation considerations we proposea family of methods of orders two to ten to be incorporatedinto a variable order, variable stepsize package suitable forsolving stiff ordinary differential equations. |
| |
Keywords: | |
本文献已被 Oxford 等数据库收录! |
|