Specication of PSIDE (original) (raw)

Abstract

PSIDE is a code for solving implicit dierential equations on parallel computers. It is an implementation of the four-stage Radau IIA method. The nonlinear systems are solved by a modied Newton process, in which every Newton iterate itself is computed by an iteration process. This process is constructed such that the four stage values can be computed simultaneously. We describe here how PSIDE is set up as a modular system and what control strategies have been chosen. 1991 Mathematics Subject Classication: Primary: 65-04, Secondary: 65L05, 65Y05. 1991 Computing Reviews Classication System: G.1.7, G.4. Keywords and Phrases: numerical software, parallel computers, IVP, IDE, ODE, DAE. Note: The maintenance of PSIDE belongs to the project MAS2.2: 'Parallel Software for Implicit Dierential Equations'. Acknowledgements: This work is supported nancially by the 'Technologiestichting STW' (Dutch Foundation for Technical Sciences), grants no. CWI.2703, CWI.4533. The use of s...

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